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Système de solveurs

dispatchatlas.solve possède les métadonnées de solveurs, la sélection, la construction d'ordonnancements, la réparation, les garde-fous de performance, les familles de référence, les adaptateurs optionnels, et la famille NDSO.

Le paquet importe dispatchatlas.core uniquement. Les tests d'intégration de test de benchmarks vivent dans tests/solve/ afin que le paquet d'exécution ne dépende pas de générateurs de benchmarks concrets.

Exemple exécutable : examples/compare_solvers.py ordonnance une cohorte de solveurs en parallèle et l'ancre avec un optimum exact prouvé.

Registre

SolverRegistry stocke des fabriques de solveurs sans état avec des métadonnées riches :

  • des étiquettes de capacité comme capacity-aware, precedence-aware, repair, local-search, et ndso
  • des objectifs pris-en-charge comme makespan, energy, et cost
  • des contraintes déclarées exprimées via des étiquettes de capacité
  • des critères d'arrêt par défaut
  • un comportement de rejeu déterministe ou stochastique-ensemencé
  • un encodage de solution (permutation, mapping, assignment, ou native)
  • des déclarations de dépendance optionnelle et la divulgation de backend commercial
  • une visibilité de niveau-de-preuve pour les exports par étapes
  • une citation canonique, ou une justification explicite de citation-non-applicable

Chaque famille de solveur nommée porte une citation qui échoue en position fermée : une famille avec une origine séminale canonique qui omet sa référence ne peut être construite, et une famille sans origine canonique unique enregistre la raison plutôt que d'en fabriquer une.

from dispatchatlas.solve import SolverCapability, default_solver_registry
 
registry = default_solver_registry()
metaheuristics = registry.select(
    required_capabilities=(SolverCapability.METAHEURISTIC,),
    objective="makespan",
)

Catalogue du registre

Chaque solveur du registre, dans une seule table triable et cherchable. La table et ses totaux sont générés à partir de default_solver_registry(), de sorte que les comptes ci-dessous sont dénombrables depuis les lignes elles-mêmes. Un graphique de couverture-des-capacités au-dessus de la table résume combien de solveurs du registre déclarent chaque capacité déclarée.

Generated from the solver registry: 87 solvers across 6 groupsconstructive (5), dispatching (14), exact (7), learning (11), metaheuristic (47), ndso (3).

Solver capability coveragecapacity-aware87/87precedence-aware87/87single-objective79/87seeded-stochastic60/87metaheuristic50/87constructive34/87repair34/87deterministic27/87dispatching25/87local-search13/87deadline-aware9/87multi-objective8/87exact-optional5/87many-objective4/87ndso3/87
How many of the 87 registry solvers advertise each declared capability — a metadata-only view of the registry’s breadth (a constructive baseline through to many-objective and native solvers). Hover or focus a bar to read its count.

Showing 87 of 87 solvers.

Solver registry — 87 rows, build-inlined from the public registry bundle.
Supported objectivesNotes
adpsometaheuristicmakespan, energy, cost
Inspect
caveats
success-rate feedback is noisy on small swarms
competitor
adpso
currency anchor
Sensors (MDPI), 2022
encoding adapter
random-key
evidence class
runnable-baseline
mechanism
swarm search with success-adaptive descending inertia
strengths
inertia tracks search progress instead of a fixed ramp
venue tier
indexed-peer-reviewed
age-moea-iimetaheuristicmakespan, lateness, fairness, energy, cost, carbon
Inspect
caveats
geometry estimate is noisy on tiny first fronts
competitor
age-moea-ii
evidence class
runnable-baseline
geometry
Newton-Raphson curvature fit of the sum(x^p)=1 surface
mechanism
adaptive front-geometry estimation with geodesic survival
strengths
spread faithful to convex, linear, and concave fronts
ant-colonymetaheuristicmakespan, energy, cost
Inspect
mechanism
rate-gated adjacent swaps of the incumbent order
metaheuristic
ant-colony
realization
no pheromone trail matrix or cooperating colony is implemented; the citation marks lineage, not mechanism fidelity
scheduling contract
permutation-decode-to-schedule
apparent-tardiness-costdispatchingmakespan, lateness, energy, cost
Inspect
dispatch rule
apparent-tardiness-cost
priority basis
highest apparent-tardiness-cost index first (unweighted, k=2)
arithmetic-optimizationmetaheuristicmakespan, energy, cost
Inspect
caveats
every member is regenerated around the best vector each iteration, so the returned order is the best observed rather than a monotone incumbent
discrete adaptation
Abualigah, L., Diabat, A., & Abd Elaziz, M. (2021). Intelligent workflow scheduling for Big Data applications in IoT cloud computing environments. Cluster Computing, 24, 2957-2976. doi:10.1007/s10586-021-03291-7
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search whose accelerator schedule shifts from wide-scatter division and multiplication moves to tight addition and subtraction moves around the best vector as the budget elapses
strengths
the two operator pairs give a clean exploration-to-exploitation handover governed only by the iteration ratio
artificial-bee-colonymetaheuristicmakespan, energy, cost
Inspect
caveats
the per-component neighbor move explores slowly on long priority vectors, so many iterations may be needed at large task counts
discrete adaptation
Pan, Q.-K., Tasgetiren, M. F., Suganthan, P. N., & Chua, T. J. (2011). A discrete artificial bee colony algorithm for the lot-streaming flow shop scheduling problem. Information Sciences, 181(12), 2455-2468. doi:10.1016/j.ins.2009.12.025
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search with three phases per iteration: a greedy neighbor perturbation of every member toward a random peer, a fitness-weighted resample that perturbs promising members again, and a re-initialization of any member that fails to improve for a set number of trials
strengths
the fitness-weighted resample concentrates effort on promising members while the trial-limit re-initialization sustains diversity
artificial-fish-swarmmetaheuristicmakespan, energy, cost
Inspect
caveats
each behaviour re-scores candidate positions, so an iteration costs several schedule evaluations per member
discrete adaptation
Ibadi, A. M., & Rahman, R. A. (2024). Modified artificial fish swarm algorithm to solve unrelated parallel machine scheduling problem under fuzzy environment. AIMS Mathematics, 9(1), 1679-1705. doi:10.3934/math.20241679
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search where each member adopts the better of a swarm move toward nearby members' centre and a follow move toward the best nearby member, each falling back to a local random probe when its move condition fails
strengths
the crowding test spreads members across several basins rather than collapsing them onto one centre
beam-searchconstructivemakespan, energy, cost
Inspect
beam width
3
mechanism
breadth-bounded constructive search
priority basis
best topological completion score
branch-and-boundexactmakespan, energy, cost
Inspect
commercial
false
dependency
ortools
dependency extra
exact
dependency purpose
branch-and-bound / branch-and-cut adapter
dependency requirement
optional
exact method
branch-and-bound
license note
OR-Tools is Apache-2.0 licensed; no commercial terms.
optimality verification
solves-to-optimal-verified
ccgpmetaheuristicmakespan, energy, cost
Inspect
caveats
rule evaluation cost grows with population and graph size
competitor
ccgp
currency anchor
Computers & Operations Research (Elsevier), 2024
evidence class
runnable-baseline
mechanism
cooperative coevolution of priority-rule trees
strengths
learns instance-feature priority rules instead of orders
venue tier
top-tier-operations-research
clpsometaheuristicmakespan, energy, cost
Inspect
decode rule
random-key
encoded solver
clpso
encoding adapter
random-key
repair policy
topological-normalize
transfer
identity
cma-esmetaheuristicmakespan, energy, cost
Inspect
caveats
the random-key encoding is a documented adaptation of the continuous method to the discrete order space
encoding
tasks sequenced by ascending random key, repaired to precedence feasibility
evidence class
runnable-baseline
mechanism
covariance-matrix-adaptation evolution strategy over a random-key encoding of the task order
recombination
weighted mean of the best mu offspring with rank-one and rank-mu covariance updates
step size control
cumulative step-size adaptation with the h_sigma stall guard
strengths
adapts an anisotropic search distribution to the objective landscape without hand-tuned scaling
cpopdispatchingmakespan, energy, cost
Inspect
mechanism
combined upward-and-downward rank list scheduling
priority basis
upward plus downward rank; critical tasks first
rank basis
combined-rank
realization
rank-ordered dispatch; resource and mode binding by the serial constructor's earliest-finish rule, a documented variant of the published critical-path-processor pinning
critical-path-tabumetaheuristicmakespan, energy, cost
Inspect
caveats
path relinking between elite solutions is not realized; a documented reduction of the published method
competitor
critical-path-tabu
evidence class
runnable-baseline
mechanism
critical-path block-boundary tabu search
relates to
tabu-search: the mechanism-diversified competitor realization
strengths
moves concentrate on the makespan-defining chain
cuckoo-searchmetaheuristicmakespan, energy, cost
Inspect
caveats
the Levy move is greedy per member, so progress depends on the incumbent and the step scale rather than a monotone population
discrete adaptation
Marichelvam, M. K., Prabaharan, T., & Yang, X.-S. (2014). Improved cuckoo search algorithm for hybrid flow shop scheduling problems to minimize makespan. Applied Soft Computing, 19, 93-101. doi:10.1016/j.asoc.2014.02.005
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search that steps every member toward the best-so-far solution by a heavy-tailed Levy displacement, keeps the step only when it improves, and re-initializes a fixed fraction of the worst members each iteration
strengths
the heavy-tailed step occasionally makes a large jump that escapes local optima while the discovery step sustains diversity
d-clpsometaheuristicmakespan, energy, cost
Inspect
decode rule
spv
encoded solver
d-clpso
encoding adapter
spv
repair policy
topological-normalize
search domain
[-1.0, 1.0]
transfer
identity
d-depsometaheuristicmakespan, energy, cost
Inspect
hybrid of
differential-evolution + particle-swarm
scheduling contract
permutation-decode-to-schedule
scheduling variant
d-depso
d-lshademetaheuristicmakespan, energy, cost
Inspect
decode rule
rounding
encoded solver
d-lshade
encoding adapter
rounding
repair policy
topological-normalize
transfer
identity
dan-dual-attentionlearningmakespan, energy, cost
Inspect
documented adaptation
faithful dual-attention architecture -- the operation message attention block over the precedence window and the machine message attention block over the machine-competition graph -- adapting the published amortized PPO-clip training to single-instance REINFORCE over seeded rollouts, greedy order decode, and the platform's uniform per-machine durations that collapse the (operation, machine) action to the operation order the serial decoder scores
evidence class
runnable-baseline
learned paradigm
policy-gradient dual-attention construction
mechanism
dual-attention network + policy-gradient PDR scheduler
optional extra
learning
policy basis
dual-attention network with an operation message attention block over the precedence window and a machine message attention block over the machine-competition graph, scoring compatible operation-machine pairs for a size-agnostic dispatching policy
training
single-instance REINFORCE over seeded rollouts with a terminal normalized-improvement reward and a mean-return baseline
decima-dag-rllearningmakespan, energy, cost
Inspect
documented adaptation
faithful Decima two-level DAG message passing and REINFORCE policy gradient; the composite (node, parallelism-limit) action collapses to node selection because the platform exposes no parallelism-limit control, per-node critical-path features replace the reference executor and job-level features that have no platform counterpart, and single-instance training with a greedy decode and a terminal normalized schedule-score reward adapt the published cross-instance training and time-in-system reward to the platform's per-instance solve contract
evidence class
runnable-baseline
learned paradigm
policy-gradient GNN construction (REINFORCE)
mechanism
Decima two-level DAG-GNN + REINFORCE construction scheduler
optional extra
learning
policy basis
two-level DAG message passing with per-node, per-DAG, and global summaries
training
single-instance REINFORCE over seeded rollouts with a running-mean baseline and a terminal normalized-improvement reward
decision-diagram-sequencingexactmakespan, energy, cost
Inspect
commercial
false
exact method
decision-diagram
license note
Native pure-Python decision-diagram branch and bound; no third-party backend and no licensing constraints.
native task cap
12
optimality verification
solves-to-optimal-verified
differential-evolutionmetaheuristicmakespan, energy, cost
Inspect
mechanism
positional nudge toward a uniformly drawn donor order
metaheuristic
differential-evolution
realization
a discrete recombination, not the cited difference-vector arithmetic; the citation marks lineage, not mechanism fidelity
scheduling contract
permutation-decode-to-schedule
earliest-deadlinedispatchingmakespan, energy, cost
Inspect
dispatch rule
earliest-deadline
priority basis
earliest declared deadline first (EDD / deadline-aware)
earliest-finish-timedispatchingmakespan, energy, cost
Inspect
dispatch rule
earliest-finish-time
priority basis
earliest reachable finish first (release + duration)
earliest-startdispatchingmakespan, energy, cost
Inspect
dispatch rule
input-order
priority basis
input order
epsometaheuristicmakespan, energy, cost
Inspect
caveats
path gathering can over-constrain loosely coupled graphs
competitor
epso
currency anchor
Electronics (MDPI), 2023
encoding adapter
random-key
evidence class
runnable-baseline
mechanism
workload-biased-initialization swarm with path gathering
strengths
quality-seeded swarm over a reduced particle dimension
venue tier
indexed-peer-reviewed
exhaustive-enumerationexactmakespan, energy, cost
Inspect
commercial
false
exact method
exhaustive-enumeration
license note
Native pure-Python exact enumeration; no third-party backend and no licensing constraints.
native task cap
8
optimality verification
solves-to-optimal-verified
firefly-algorithmmetaheuristicmakespan, energy, cost
Inspect
caveats
the pairwise attraction is quadratic in the population size, and positions move unconditionally so the returned order is the best observed rather than a monotone incumbent
discrete adaptation
Sayadi, M. K., Hafezalkotob, A., & Naini, S. G. J. (2013). Firefly-inspired algorithm for discrete optimization problems: An application to manufacturing cell formation. Journal of Manufacturing Systems, 32(1), 78-84. doi:10.1016/j.jmsy.2012.06.004
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search attracting every priority vector toward every brighter member by a distance-decaying step plus a randomization term that shrinks over the budget
strengths
distance-decaying attraction lets subgroups converge on several basins before the randomization term fades
fjsp-hgnn-drllearningmakespan, energy, cost
Inspect
documented adaptation
faithful HGNN architecture; single-instance training, greedy order decode, and uniform per-machine durations adapt the published amortized FJSP scheduler to the platform's per-instance task-order model
evidence class
runnable-baseline
learned paradigm
policy-gradient GNN construction (PPO)
mechanism
heterogeneous-GNN + PPO construction scheduler
optional extra
learning
policy basis
heterogeneous graph attention over operations and machines
training
single-instance proximal policy optimization over seeded rollouts with a terminal normalized-improvement reward
genetic-algorithmmetaheuristicmakespan, energy, cost
Inspect
mechanism
elite-pair order crossover with adjacent-swap mutation
metaheuristic
genetic-algorithm
realization
selection-crossover-mutation loop over a permutation population; faithful in kind to the cited scheme at baseline scale
scheduling contract
permutation-decode-to-schedule
grasshopper-optimizationmetaheuristicmakespan, energy, cost
Inspect
caveats
the pairwise social forces are quadratic in the population size, and positions move unconditionally each iteration; on a Largest Order Value decode the published update adds little beyond its initial population, because it replaces each position with the target plus the force sum rather than perturbing it, and the resulting displacement peaks near a tenth of the gap between adjacent priorities -- short of the separation a rank swap needs. The shortfall is scale-free in the priority span and does not close with population size, so it is a property of the method on this encoding rather than a tuning choice
discrete adaptation
Naveen Durai, S. K., & Duraisamy, B. (2022). Hybrid Invasive Weed Improved Grasshopper Optimization Algorithm for Cloud Load Balancing. Intelligent Automation & Soft Computing, 34(1), 467-483. doi:10.32604/iasc.2022.026020
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search displacing every member by the sum of pairwise attraction/repulsion forces from all others, scaled toward the best-so-far target by a comfort coefficient that decays over the budget
strengths
the decaying comfort coefficient shrinks the repulsion zone so the swarm settles from exploration onto the target
gravitational-searchmetaheuristicmakespan, energy, cost
Inspect
caveats
the pairwise forces are quadratic in the population size, and the velocity carries momentum that can overshoot on a coarse budget
discrete adaptation
Choudhary, A., Gupta, I., Singh, V., & Jana, P. K. (2018). A GSA based hybrid algorithm for bi-objective workflow scheduling in cloud computing. Future Generation Computer Systems, 83, 14-26. doi:10.1016/j.future.2018.01.005
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search that gives every member a mass from its fitness, accelerates each member by the summed pairwise attractive forces of the others (each force scaling with the product of masses and decaying with separation), and integrates a velocity and position under a coefficient that shrinks over the budget
strengths
heavier better-scoring members exert more pull, so the population is drawn toward high-quality regions as the coefficient decay sharpens the search
greedy-completiondispatchingmakespan, energy, cost
Inspect
dispatch rule
greedy-completion
priority basis
state-aware earliest completion next
grey-wolf-optimizermetaheuristicmakespan, energy, cost
Inspect
caveats
positions move unconditionally each iteration, so the returned order is the best observed rather than a monotone incumbent
discrete adaptation
Hosseini Shirvani, M. (2022). A Novel Discrete Grey Wolf Optimizer for Scientific Workflow Scheduling in Heterogeneous Cloud Computing Platforms. Scientia Iranica. doi:10.24200/sci.2022.57262.5144
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search drawing every priority vector toward the three best-ranked members with an encircling coefficient that descends linearly over the budget
strengths
the descending coefficient shifts the search from exploration to exploitation with no per-instance tuning
guided-local-searchmetaheuristicmakespan, energy, cost
Inspect
caveats
the (position, task) feature and duration cost are a documented adaptation of the paper's routing-edge feature model
evidence class
runnable-baseline
feature
a (position, task) placement whose cost is the task duration
mechanism
penalty-guided local search that augments the objective with penalties on overused placement features
neighborhood
best-improvement pairwise swaps on the augmented objective
penalty update
the maximum-utility placement (cost over one-plus-penalty) is penalized at each local optimum
strengths
escapes local optima by discouraging the features a stuck optimum keeps reusing, without restarts
gurobi-exactexactmakespan, energy, cost
Inspect
commercial
true
dependency
gurobipy
dependency extra
exact-commercial
dependency purpose
commercial mixed-integer programming wrapper
dependency requirement
optional
exact method
milp
license note
Gurobi requires a commercial license; a free academic license is available. Never bundled.
optimality verification
solves-to-optimal-verified
harris-hawks-optimizationmetaheuristicmakespan, energy, cost
Inspect
caveats
the besiege moves replace positions unconditionally, so the returned order is the best observed rather than a monotone incumbent
discrete adaptation
Ali, A., Shah, S. A. A., Al Shloul, T., Assam, M., Ghadi, Y. Y., Lim, S., & Zia, A. (2024). Multiobjective Harris Hawks Optimization-Based Task Scheduling in Cloud-Fog Computing. IEEE Internet of Things Journal. doi:10.1109/JIOT.2024.3391024
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search whose decaying escaping-energy value switches between an exploration phase and four besiege moves around the best member, two of which compare a direct move against a Levy-flight move
strengths
the energy schedule interleaves exploration and several exploitation intensities without per-instance tuning
heftdispatchingmakespan, energy, cost
Inspect
mechanism
upward-rank list scheduling
priority basis
nonincreasing upward rank
rank basis
upward-rank
realization
rank-ordered dispatch; resource and mode binding by the serial constructor's earliest-finish rule, the non-insertion variant of the published insertion-based earliest-finish-time selection
ibeametaheuristicmakespan, lateness, fairness, energy, cost, carbon
Inspect
caveats
the pairwise indicator matrix is quadratic in the pool
competitor
ibea
discrete adaptation
Frutos, M., Mendez, M., Tohme, F., & Broz, D. (2013). Comparison of multiobjective evolutionary algorithms for operations scheduling under machine availability constraints. The Scientific World Journal, 2013, 418396. doi:10.1155/2013/418396
evidence class
runnable-baseline
indicator
additive epsilon indicator on normalized objectives
mechanism
binary quality-indicator fitness with the additive epsilon indicator; the least-fit member is removed and the survivors are incrementally credited with its indicator contribution
strengths
a single tunable indicator drives convergence without reference points, weights, or nondominated sorting
iterated-greedy-rsmetaheuristicmakespan, energy, cost
Inspect
acceptance
fixed-temperature probabilistic acceptance of non-improving sequences
caveats
acceptance pressure tracks the problem's duration scale
evidence class
runnable-baseline
mechanism
destruction-reconstruction search from a best-insertion seed
relates to
iterated-greedy: the mechanism-diversified competitor realization
strengths
the canonical published iterated-greedy configuration for permutation scheduling
temperature basis
temperature_factor times mean task duration over ten, a documented adaptation of the published constant to the scalar-duration task model
jaya-algorithmmetaheuristicmakespan, energy, cost
Inspect
caveats
greedy replacement keeps only improving updates, so progress tracks the population's best and worst spread
discrete adaptation
Mishra, A. K., & Shrivastava, D. (2020). A discrete Jaya algorithm for permutation flow-shop scheduling problem. International Journal of Industrial Engineering Computations, 11(3), 415-428. doi:10.5267/j.ijiec.2019.12.001
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
parameter-less population search moving each priority vector toward the best and away from the worst member
strengths
carries no algorithm-specific parameters beyond population size and iteration budget
l2d-disjunctive-gnnlearningmakespan, energy, cost
Inspect
documented adaptation
faithful Graph Isomorphism Network over the disjunctive graph under the adding-arc strategy with the scheduled-indicator and completion-lower-bound raw features; single-instance training, a one-shot initial-state embedding with a greedy order decode instead of the reference per-step re-embedding, and a terminal normalized schedule-score reward adapt the published amortized size-agnostic dispatcher to the platform's per-instance task-order model
evidence class
runnable-baseline
learned paradigm
policy-gradient GNN construction (PPO)
mechanism
GIN disjunctive-graph + PPO dispatching rule
optional extra
learning
policy basis
graph-isomorphism network over the disjunctive graph with an average-pooled size-agnostic graph embedding
training
single-instance proximal policy optimization over seeded rollouts with a terminal normalized-improvement reward
l2s-improvementlearningmakespan, energy, cost
Inspect
documented adaptation
faithful DRL-guided improvement heuristic that starts from a complete feasible schedule, embeds its disjunctive graph with the topological and context-aware modules over the (p, est, lst) node features, and learns N5 critical-block moves by REINFORCE with the incumbent-improvement reward; the N5 neighborhood is realized over the platform's precedence-feasible task order as makespan-binding adjacent same-machine transpositions, and single-instance REINFORCE over a bounded improvement horizon adapts the published amortized training to the platform's per-instance task-order model
evidence class
runnable-baseline
learned paradigm
policy-gradient GNN improvement (REINFORCE)
mechanism
DRL-guided N5 improvement heuristic
optional extra
learning
policy basis
graph-neural network with a topological (GIN) module and a context-aware dual-context module over the complete-solution disjunctive graph, scoring N5 critical-block local-search moves
training
single-instance REINFORCE over the improvement rollout with the incumbent-improvement reward, keeping the best order found
learned-priority-policylearningmakespan, energy, cost
Inspect
learned tier disclosure
two distinct learned representatives -- this policy-gradient priority rule and the value-based tabular Q-learning agent (rl-dispatching); no post-Decima DRL scheduler has consensus-baseline adoption
mechanism
policy-gradient learned priority dispatching rule
policy basis
linear priority over task features
training
REINFORCE over seeded precedence-feasible rollouts
logic-based-benders-decompositionexactmakespan, energy, cost
Inspect
commercial
false
dependency
pulp
dependency extra
exact
dependency purpose
logic-based Benders assignment-master ILP adapter
dependency requirement
optional
exact method
logic-based-benders
license note
PuLP is BSD-licensed and ships the CBC open backend; the assignment master is solved through it and the per-facility scheduling subproblem is native pure Python.
optimality verification
solves-to-optimal-verified
longest-processing-timedispatchingmakespan, energy, cost
Inspect
dispatch rule
longest-processing-time
priority basis
longest duration first
lshademetaheuristicmakespan, energy, cost
Inspect
decode rule
random-key
encoded solver
lshade
encoding adapter
random-key
repair policy
topological-normalize
transfer
identity
marine-predatorsmetaheuristicmakespan, energy, cost
Inspect
caveats
each iteration costs two schedule evaluations per member (the forage move and the FADs escape)
discrete adaptation
Chen, D., & Zhang, Y. (2023). Diversity-Aware Marine Predators Algorithm for Task Scheduling in Cloud Computing. Entropy, 25(2), 285. doi:10.3390/e25020285
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search that forages toward the best member by a Brownian phase early, a mixed Brownian/Levy phase in the middle, and a Levy phase late, escaping local optima with a fish-aggregating-device perturbation and keeping only improving moves
strengths
the phased Brownian-to-Levy schedule plus memory saving gives a monotone incumbent with a strong late-run local search
matheuristic-restricted-neighbourhoodmetaheuristicmakespan
Inspect
activity selection
network-dependent: rank by the progressive/regressive-level body rule and select 50% of the activities for intense search
envelope
classical RCPSP only: finish-start precedence with no lag, renewable resources, single minimise-makespan objective; fails closed on generalized precedence, non-makespan or maximize objectives, and moldable, gang, or partial-execution tasks
evidence class
runnable-baseline
exact neighbourhood
the selected subproblem is solved by the native immediate-selection branch-and-bound (Brucker et al. 1998) over the pinned sub-instance
future work
the paper's higher-performance decomposition genetic-algorithm variant (Section 3.2.3) is not implemented; the faithful greedy-search form is realised instead
mechanism
greedy-search matheuristic: random-key sampling generates start schedules and an exact branch-and-bound re-optimises a selected activity body as a restricted neighbourhood search
never worse
the neighbourhood search accepts only improvements over the start schedule, so the result never regresses below the best sampled start schedule; near-optimal, not exact
restriction
full forward: the non-selected activities are pinned at their current start times as a latest-start bound and the selected subproblem is searched exactly without further truncation
max-mindispatchingmakespan, energy, cost
Inspect
degenerate when
tasks pin all resources through demands
mechanism
ready-set batch mapping by largest best completion
priority basis
largest minimum completion next
realization
the precedence-ready set stands in for the published independent-task batch; candidate and committed bindings follow the serial constructor's earliest-finish rule
min-mindispatchingmakespan, energy, cost
Inspect
degenerate when
tasks pin all resources through demands
mechanism
ready-set batch mapping by smallest best completion
priority basis
earliest minimum completion next
realization
the precedence-ready set stands in for the published independent-task batch; candidate and committed bindings follow the serial constructor's earliest-finish rule
minimum-slackdispatchingmakespan, energy, cost
Inspect
dispatch rule
minimum-slack
priority basis
least slack first
moeadmetaheuristicmakespan, lateness, fairness, energy, cost
Inspect
caveats
weight-grid resolution bounds attainable spread
evidence class
runnable-baseline
mechanism
weighted-decomposition subproblems with neighborhood replacement
strengths
decomposition-based counterweight to dominance-based selection
monte-carlo-tree-searchmetaheuristicmakespan, energy, cost
Inspect
caveats
the running best/worst reward normalization is a documented adaptation of UCB1's bounded-reward assumption
evidence class
runnable-baseline
mechanism
upper-confidence-bounds-for-trees search that builds a schedule by appending precedence-ready tasks
reward
the constructed order's score is normalized to [0, 1] against the running best and worst scores for UCB1
rollout
partial orders are completed by appending uniformly random precedence-ready tasks
selection
UCB1 balances the best mean reward against the least-visited child by the exploration constant
strengths
concentrates simulations on the construction prefixes that have yielded the best schedules
moth-flame-optimizationmetaheuristicmakespan, energy, cost
Inspect
caveats
the flame memory guarantees monotone best positions, but each member's spiral is unconditional
discrete adaptation
Abd Elaziz, M., Abualigah, L., & Attiya, I. (2021). Advanced optimization technique for scheduling IoT tasks in cloud-fog computing environments. Future Generation Computer Systems, 124, 142-154. doi:10.1016/j.future.2021.05.026
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search spiralling every member around one of the best positions in a sorted memory whose size shrinks over the budget, keeping the best positions after each spiral
strengths
the shrinking flame memory retains several elite positions early and converges onto the best late, with no tuning
ndso-corendsomakespan, energy, cost
Inspect
anytime convergence
false
coupled rate temperature
true
decayed cell reinjection
true
encoding
natively-discrete
method variant
ndso-core
peer guidance
true
positional preference model
true
preference weighted plurality
true
source selection schedule
true
three source guidance
true
update magnitude schedule
true
ndso-fastndsomakespan, energy, cost
Inspect
anytime convergence
true
coupled rate temperature
true
decayed cell reinjection
false
encoding
natively-discrete
method variant
ndso-fast
peer guidance
true
positional preference model
true
preference weighted plurality
false
source selection schedule
true
three source guidance
false
update magnitude schedule
true
ndso-summitndsomakespan, energy, cost
Inspect
coordination
inter-swarm-council
cross swarm confidence weighted voting
true
encoding
natively-discrete
method variant
ndso-summit
overarching elite synthesis
true
nehconstructivemakespan, energy, cost
Inspect
mechanism
nonincreasing-duration best-insertion construction
priority basis
nonincreasing-duration insertion
nsga2metaheuristicmakespan, lateness, fairness, energy, cost
Inspect
caveats
diversity pressure weakens beyond three objectives
evidence class
runnable-baseline
mechanism
nondominated sorting with crowding-distance elitism
strengths
the default bi/tri-objective baseline in scheduling comparisons
nsga3metaheuristicmakespan, lateness, fairness, energy, cost, carbon
Inspect
caveats
reference-point count grows with objective dimension
competitor
nsga3
evidence class
runnable-baseline
mechanism
reference-point niching over nondominated fronts
reference point design
Das-Dennis structured simplex
strengths
diversity preservation in many-objective spaces
ortools-cp-satexactmakespan, energy, cost
Inspect
commercial
false
dependency
ortools
dependency extra
exact
dependency purpose
exact constraint-programming adapter
dependency requirement
optional
exact method
cp-sat
license note
OR-Tools is Apache-2.0 licensed; no commercial terms.
optimality verification
solves-to-optimal-verified
particle-swarmmetaheuristicmakespan, energy, cost
Inspect
mechanism
single-task attraction toward the global-best order
metaheuristic
particle-swarm
realization
no velocity state or personal-best memory is implemented; the citation marks lineage, not mechanism fidelity
scheduling contract
permutation-decode-to-schedule
peftdispatchingmakespan, energy, cost
Inspect
mechanism
optimistic-cost-table rank list scheduling
priority basis
nonincreasing mean optimistic cost
rank basis
oct-rank
realization
rank-ordered dispatch; resource and mode binding by the serial constructor's earliest-finish rule, a documented variant of the published O_EFT selection
pulp-milpexactmakespan, energy, cost
Inspect
commercial
false
dependency
pulp
dependency extra
exact
dependency purpose
mixed-integer linear programming adapter
dependency requirement
optional
exact method
milp
license note
PuLP is BSD-licensed and ships the CBC open backend.
optimality verification
solves-to-optimal-verified
residual-schedulinglearningmakespan, energy, cost
Inspect
documented adaptation
faithful residual (shrinking, re-embedded) HGIN over unfinished operations; single-instance training, greedy order decode, terminal-objective reward with a running-mean baseline, hidden width reduced 256->128, and uniform per-machine durations adapt the published amortized job-shop scheduler to the platform's per-instance task-order model
evidence class
runnable-baseline
learned paradigm
policy-gradient GNN construction (REINFORCE, residual state)
mechanism
residual heterogeneous-GIN + REINFORCE construction scheduler
optional extra
learning
policy basis
residual heterogeneous-GIN over unfinished operations
training
single-instance REINFORCE over seeded rollouts with a terminal normalized-improvement reward and a running-mean baseline
rl-dispatchinglearningmakespan, energy, cost
Inspect
evidence class
runnable-baseline
learned paradigm
value-based (tabular Q-learning)
mechanism
tabular Q-learning over dispatching-rule actions
policy basis
tabular action-value over dispatch rules
relates to
learned-priority-policy: the policy-gradient learned representative; this is the value-based Q-learning representative
state abstraction
coarse (scheduling-stage, ready-set-breadth) discretization, a documented adaptation of the published shop-state features
training
one-step Q-learning with a terminal normalized-improvement reward over seeded epsilon-greedy episodes
rolloutconstructivemakespan, energy, cost
Inspect
base policy
shortest-processing-time static-priority completion
budget
a wall-clock budget degrades the lookahead to the bare base-policy completion of the committed prefix
caveats
cost grows with the base-policy completions scored, quadratic in the task count
evidence class
runnable-baseline
guarantee
the sequentially-consistent base policy makes the rollout order score no worse than the base policy it improves
mechanism
one-step base-policy lookahead sequential construction
relates to
shortest-processing-time: the base policy this rollout improves
strengths
recovers order quality a one-pass dispatch rule leaves on the table by scoring a full completion per ready candidate
rveametaheuristicmakespan, lateness, fairness, energy, cost, carbon
Inspect
caveats
reference-vector count grows with objective dimension
competitor
rvea
evidence class
runnable-baseline
mechanism
angle-penalized-distance selection over reference vectors
reference vector design
unit-normalized Das-Dennis simplex
strengths
convergence-diversity balance that sharpens over the run
salp-swarmmetaheuristicmakespan, energy, cost
Inspect
caveats
positions move unconditionally each iteration, so the returned order is the best observed rather than a monotone incumbent
discrete adaptation
Jain, R., & Sharma, N. (2022). A Deadline-Constrained Time-Cost-Effective Salp Swarm Algorithm for Resource Optimization in Cloud Computing. International Journal of Applied Metaheuristic Computing, 13(1). doi:10.4018/IJAMC.292509
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous chain search whose leader is drawn toward the best-so-far food source by a coefficient that decays over the budget, and whose followers each move to the mean of their own and their predecessor's position
strengths
the follower averaging smooths the chain toward the leader while the decaying coefficient sharpens the leader's search
sarsa-dispatchinglearningmakespan, energy, cost
Inspect
discrete adaptation
Aissani, N., Beldjilali, B., & Trentesaux, D. (2009). Dynamic scheduling of maintenance tasks in the petroleum industry: a reinforcement approach. Engineering Applications of Artificial Intelligence, 22(7), 1089-1103. doi:10.1016/j.engappai.2009.01.014; Zhang, Z., Zheng, L., Hou, F., & Li, N. (2011). Semiconductor final test scheduling with Sarsa(lambda, k) algorithm. European Journal of Operational Research, 215(2), 446-458. doi:10.1016/j.ejor.2011.05.052
evidence class
runnable-baseline
learned paradigm
value-based on-policy TD control (SARSA)
mechanism
tabular on-policy SARSA over dispatching-rule actions
policy basis
tabular action-value over dispatch rules
relates to
rl-dispatching: the off-policy Q-learning representative; this is the on-policy SARSA representative
training
on-policy SARSA that bootstraps toward the next selected action-value, with a terminal normalized-improvement reward over seeded epsilon-greedy episodes
scatter-searchmetaheuristicmakespan, energy, cost
Inspect
caveats
path relinking is precedence-repaired over the order space, a documented adaptation of the published combination method
combination
path relinking between the two reference orders of each subset
competitor
scatter-search
evidence class
runnable-baseline
mechanism
reference-set path-relinking search over precedence-safe orders
realizes
the elite-solution path relinking left unrealized in critical-path-tabu
reference set
a best-scoring quality subset plus a max-min positional-distance diversity subset
strengths
systematic recombination of diverse high-quality task orders
selection-hyper-heuristicmetaheuristicmakespan, energy, cost
Inspect
acceptance
late-acceptance hill-climbing against the cost recorded a fixed number of steps earlier
evidence class
runnable-baseline
low level heuristics
adjacent-swap, insertion-shift, relink-to-incumbent, bounded-local-search
mechanism
two-layer selection hyper-heuristic: adaptive heuristic selection over a fixed low-level heuristic set with a separate move-acceptance criterion
relates to
distinct from ccgp, a generation hyper-heuristic that evolves priority-rule trees rather than selecting among fixed low-level heuristics
scheduling contract
permutation-decode-to-schedule
selection
reinforcement-style adaptive credit; improving moves reward the applied heuristic, non-improving moves penalize it, with roulette-wheel proportional selection
serial-sgs-justificationconstructivemakespan, energy, cost
Inspect
caveats
single-pass constructor; no search beyond the justification re-decodes; on unit-capacity (or demand-equals-capacity) problems the cumulative decode reduces to the scalar exclusive timeline
citation doi pending
verified publisher landing link recorded as the uri; the DOI digits are unverified and await operator confirmation
evidence class
runnable-baseline
mechanism
latest-finish-time serial construction with double justification, decoded through the cumulative capacity-profile placement so a resource packs concurrent activities up to its capacity
realization
double justification realized as finish- and start-sorted re-decodes through the serial constructor, a documented order-space adaptation of the published schedule-space shifts
strengths
justification improves serial-decoder schedules at the cost of only two extra decodes; the cumulative decode honors the capacity-aware capability on resources carrying demand below capacity
shifting-bottleneckconstructivemakespan, energy, cost
Inspect
caveats
heads and tails are longest-path bounds treating dependency lags as finish-to-start offsets; the serial constructor honors the exact timing
evidence class
runnable-baseline
machine identity
a distinct resource-demand set; demand-free tasks share a pool machine
mechanism
machine decomposition sequencing the bottleneck machine first
reoptimization
committed machines re-sequenced while later commitments tighten their release dates and tails
strengths
critical-path decomposition that resolves the most constraining resource before the rest
subproblem
single-machine release-date relaxation solved by Schrage's rule
shortest-processing-timedispatchingmakespan, energy, cost
Inspect
dispatch rule
shortest-processing-time
priority basis
shortest duration first
simulated-annealingmetaheuristicmakespan, energy, cost
Inspect
mechanism
adjacent-swap neighborhood under Metropolis acceptance
metaheuristic
simulated-annealing
realization
single-chain anneal, temperature cooling linearly to a 0.01 floor; faithful in kind to the cited scheme
scheduling contract
permutation-decode-to-schedule
sine-cosine-algorithmmetaheuristicmakespan, energy, cost
Inspect
caveats
positions move unconditionally each iteration, so the returned order is the best observed rather than a monotone incumbent
discrete adaptation
Jouhari, H., Lei, D., Al-qaness, M. A. A., Abd Elaziz, M., Ewees, A. A., & Farouk, O. (2019). Sine-Cosine Algorithm to Enhance Simulated Annealing for Unrelated Parallel Machine Scheduling with Setup Times. Mathematics, 7(11), 1120. doi:10.3390/math7111120
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search nudging every priority vector toward the best-so-far destination by a sine- or cosine-weighted step whose amplitude descends linearly over the budget
strengths
the oscillating step spans a wide region early and collapses onto the destination late with no per-instance tuning
slim-self-labelinglearningmakespan, energy, cost
Inspect
documented adaptation
faithful Pointer-Network-style encoder-decoder generative model trained by the self-labeling cross-entropy over the best sampled pseudo-label with neither an MDP nor reinforcement learning; the fifteen graph-node and eleven job-context features collapse to the platform-derivable subset, and single-instance self-labeling over a bounded step budget with a greedy decode adapts the published dataset-scale amortized training to the platform's per-instance task-order model
evidence class
runnable-baseline
learned paradigm
self-supervised generative construction
mechanism
pointer-network generative model + self-labeling
optional extra
learning
policy basis
pointer-network-style encoder-decoder generative model over the disjunctive graph with a multi-head-attention memory network
training
single-instance self-labeling: sample solutions, adopt the minimum-makespan sample as a pseudo-label, and minimize the cross-entropy toward it, using no reward or Markov Decision Process
sms-emoametaheuristicmakespan, lateness, fairness, energy, cost, carbon
Inspect
caveats
hypervolume cost grows with the objective count
competitor
sms-emoa
evidence class
runnable-baseline
indicator
exact dominated hypervolume via objective slicing
mechanism
dominated-hypervolume (S-metric) survival selection
strengths
reference-free spread and convergence balance
spea2metaheuristicmakespan, lateness, fairness, energy, cost, carbon
Inspect
caveats
the pairwise distance matrix is quadratic in the pool
competitor
spea2
density
k-th nearest neighbour with k = floor(sqrt N)
discrete adaptation
Wei, Feng, Tan, and Hagiwara. Flexible job shop scheduling multi-objective optimization based on an improved strength Pareto evolutionary algorithm. Advanced Materials Research, 186, 546-551, 2011. doi:10.4028/www.scientific.net/AMR.186.546
evidence class
runnable-baseline
mechanism
strength-and-raw-fitness ranking with a k-th nearest-neighbour density estimator and distance-based archive truncation
strengths
the density estimator preserves a well-spread archive without reference points or scalarizing weights
squeaky-wheelmetaheuristicmakespan, energy, cost
Inspect
analyzer
blame equals the task completion time read from the constructed schedule assignments
caveats
the completion-time blame is a documented adaptation of the paper's domain-specific trouble measure
evidence class
runnable-baseline
initialization
duration-normalized prior with a seeded uniform perturbation of the starting priority ordering
mechanism
construct/analyze/prioritize search over a per-task priority vector that induces the construction sequence
prioritizer
blamed tasks' priorities rise by bump_strength times their makespan-normalized blame, pulling late tasks earlier
strengths
reprioritizes around the tasks that finish latest rather than searching the order space blindly
sufferagedispatchingmakespan, energy, cost
Inspect
degenerate when
tasks pin all resources through demands
mechanism
ready-set batch mapping by completion-loss gap
priority basis
largest second-best-minus-best completion gap next
realization
the precedence-ready set stands in for the published independent-task batch; candidate and committed bindings follow the serial constructor's earliest-finish rule
surrogate-assisted-gp-hhlearningmakespan, energy, cost
Inspect
documented adaptation
single static instance -> derived related tasks (makespan, lateness-weighted, flow-weighted scorings); 1-NN phenotypic-characterisation surrogate over ready-set reference situations; bounded population and generations for single-instance latency
evidence class
runnable-baseline
extends
ccgp
learned paradigm
genetic-programming hyper-heuristic (surrogate multitask)
mechanism
surrogate-assisted multitask GP hyper-heuristic
policy basis
evolved priority-rule trees decoded by precedence-safe list scheduling
relates to
ccgp: the cooperative-coevolution GP hyper-heuristic this surrogate multitask method extends
training
each generation a per-task 1-NN phenotypic-characterisation surrogate screens the merged offspring pool; only the reallocated survivors are really evaluated
tabu-mrcpsp-mode-searchmetaheuristicmakespan, energy, cost
Inspect
adaptation
operates on the renewable-only, finish-start projection: the paper's generalized precedence relations (max lags, SF/FF), non-renewable and doubly constrained resources, and its inefficient-mode preprocessing are outside the core model and are projected away, not fabricated
aspiration
asymmetric: global and regional aspiration by objective override tabu status; influence always tilts move selection
evidence class
runnable-baseline
inner scheduler
a fixed mode assignment is projected onto the problem (each activity pinned to one mode) and decoded by the shared serial constructor, standing in for the paper's truncated RCPSP-GPR branch-and-bound
long term memory
frequency-based diversification and intensification phase switching after an initial data-collection phase
mechanism
tabu search over the mode-assignment neighborhood: each move reassigns one activity to another execution mode
neighborhood
single-activity re-mode -- all assignments differing from the incumbent in exactly one activity's mode
tabu list
dynamic random tenure in [sqrt(n), 3*sqrt(n)] on the reversing (activity, mode) attribute
teaching-learning-optimizationmetaheuristicmakespan, energy, cost
Inspect
caveats
greedy replacement keeps only improving updates, so progress tracks the population's best member and mean
discrete adaptation
Xie, Z., Zhang, C., Shao, X., Lin, W., & Zhu, H. (2014). An effective hybrid teaching-learning-based optimization algorithm for permutation flow shop scheduling problem. Advances in Engineering Software, 77, 35-47. doi:10.1016/j.advengsoft.2014.07.006
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
parameter-less two-phase population search: a teacher phase draws every learner toward the best member and away from the population mean, and a learner phase draws it toward or away from a random peer by which is better
strengths
carries no algorithm-specific parameters beyond population size and iteration budget
whale-optimizationmetaheuristicmakespan, energy, cost
Inspect
caveats
positions move unconditionally each iteration, so the returned order is the best observed rather than a monotone incumbent
discrete adaptation
Zhang, S., & Gu, X. (2023). A discrete whale optimization algorithm for the no-wait flow shop scheduling problem. Measurement and Control. doi:10.1177/00202940231180622
encoding
continuous priority vector decoded to a permutation by the Largest Order Value rule, then precedence-repaired
evidence class
runnable-baseline
mechanism
continuous population search choosing per iteration a spiral move around the best member, an encircling move toward it, or a search move toward a random member, under a control value that descends linearly over the budget
strengths
the spiral and search moves preserve exploration while the descending control value sharpens exploitation, with no per-instance tuning

All objective support is declared registry metadata, not a performance claim. The solver recommender ranks these solvers by declared fit.

Applicabilité des solveurs

Quels solveurs s'appliquent à quelle famille de référence, lu depuis la matrice d'applicabilité. Chaque cellule est une applicabilité déclarée, jamais une affirmation de performance : les cellules vérifiées citent une campagne publique, une citation ou un test nommé, et les cellules approximatives sont dérivées des capacités déclarées du solveur et des traits de la famille de référence. Le tableau ci-dessous est généré à partir du paquet public d'applicabilité, de sorte que ses totaux de statut sont dénombrables à partir des lignes elles-mêmes.

Generated from the applicability matrix: 69 benchmark families by 87 public solvers. 10 verified · 5835 approximate · 158 not applicable.

Cell status is declared applicability, never a performance claim. Verified cells cite a named public campaign artifact, citation source, or test; approximate cells are derived from declared solver capabilities and benchmark-family traits and are labeled as such.

Showing 6003 of 6003 cells.

Benchmark-family by solver applicability — 6003 matching rows, showing page 1 of 121; build-inlined from the public applicability bundle.
Basis
accelerator-coschedulingdistributed-computingadpsoApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; searches a continuous space decoded via the random-key-adapter with topological repair.
accelerator-coschedulingdistributed-computingage-moea-iiApproximatefamily declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingant-colonyApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingapparent-tardiness-costApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingarithmetic-optimizationApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingartificial-bee-colonyApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingartificial-fish-swarmApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingbeam-searchApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingbranch-and-boundApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingccgpApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingclpsoApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; searches a continuous space decoded via the random-key-adapter with topological repair.
accelerator-coschedulingdistributed-computingcma-esApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingcpopApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingcritical-path-tabuApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingcuckoo-searchApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingd-clpsoApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; searches a continuous space decoded via the spv-adapter with topological repair.
accelerator-coschedulingdistributed-computingd-depsoApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingd-lshadeApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; searches a continuous space decoded via the rounding-adapter with topological repair.
accelerator-coschedulingdistributed-computingdan-dual-attentionApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingdecima-dag-rlApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingdecision-diagram-sequencingNot applicablenative exact search caps at 12 tasks; family instances carry 96; optimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingdifferential-evolutionApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingearliest-deadlineApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingearliest-finish-timeApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingearliest-startApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingepsoApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; searches a continuous space decoded via the random-key-adapter with topological repair.
accelerator-coschedulingdistributed-computingexhaustive-enumerationNot applicablenative exact search caps at 8 tasks; family instances carry 96; optimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingfirefly-algorithmApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingfjsp-hgnn-drlApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computinggenetic-algorithmApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computinggrasshopper-optimizationApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computinggravitational-searchApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computinggreedy-completionApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computinggrey-wolf-optimizerApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingguided-local-searchApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computinggurobi-exactApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingharris-hawks-optimizationApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingheftApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingibeaApproximatefamily declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingiterated-greedy-rsApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingjaya-algorithmApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingl2d-disjunctive-gnnApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computingl2s-improvementApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computinglearned-priority-policyApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computinglogic-based-benders-decompositionApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computinglongest-processing-timeApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.
accelerator-coschedulingdistributed-computinglshadeApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; searches a continuous space decoded via the random-key-adapter with topological repair.
accelerator-coschedulingdistributed-computingmarine-predatorsApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling.
accelerator-coschedulingdistributed-computingmatheuristic-restricted-neighbourhoodApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity; produces a static schedule for a family with dynamic arrivals/rescheduling; no repair or dispatching mechanism for the family's declared uncertainty.
accelerator-coschedulingdistributed-computingmax-minApproximateoptimizes one objective axis of a multi-objective family; family declares constraint features with no capability-tag counterpart: affinity.

Cell status is declared applicability, never a performance claim. Verified cells cite a named public campaign, citation, or test; approximate cells are derived from declared solver capabilities and benchmark-family traits. The solver recommender scores solvers against this matrix by scheduling family.

Lignes-de-base d'ordonnancement

Les lignes-de-base déterministes empaquetées sont des solveurs constructifs d'ordonnancement-par-listes. Chacun contrôle l'ordre des tâches ; le constructeur série honore les demandes de ressources déclarées de chaque tâche et affecte chaque tâche à sa ressource demandée disponible-au-plus-tôt. Chaque famille nomme sa référence séminale canonique.

SolveurBase de prioritéRéférence canonique
earliest-startordre topologique d'entréenon applicable (ligne-de-base identité)
shortest-processing-timetâche de durée la plus courte d'abordSmith (1956)
longest-processing-timetâche de durée la plus longue d'abordGraham (1969)
earliest-deadlinedeadline le plus tôt d'abord (conscient-du-deadline)Jackson (1955)
earliest-finish-timefin atteignable la plus tôt d'abordTopcuoglu et al. (2002)
minimum-slackplus petite marge d'ordonnancement d'abordConway, Maxwell & Miller (1967)
greedy-completionachèvement conscient-de-l'état le plus tôt d'abordGraham (1966)
apparent-tardiness-costindice de coût-de-retard-apparent le plus élevé d'abord (conscient-du-deadline)Vepsalainen & Morton (1987)

Familles d'ordonnancement retirées

Les familles de mapping-de-ressources sont enregistrées explicitement plutôt que repliées silencieusement dans un type générique. Elles contrôlent l'affectation des ressources, non l'ordre des tâches, et le constructeur série respectueux-des-demandes n'expose aucune décision de mapping libre sous le modèle de problème cœur actuel :

  • Mapping de ressources (olb, met, mct, round-robin, load-balanced) : le constructeur affecte chaque tâche à sa ressource déclarée, de sorte que ces heuristiques n'ont aucun degré de liberté réalisable ; le mapping conscient-du-temps-d'exécution est la propriété du travail sur les objectifs et contraintes, non de cette fondation.
  • Étiquettes de type absentes (type-aware, domain-aware) : requièrent des étiquettes de type-de-tâche et type-de-ressource que le modèle de problème cœur actuel ne porte pas.

retired_dispatching_families() renvoie le grand-livre complet avec justification et citation par-famille.

Ordonnanceurs par listes basés sur le rang

Trois ordonnanceurs par listes conscients-de-l'hétérogénéité partagent une forme à deux phases : une phase de priorisation statique classe chaque tâche sur le DAG de précédence à partir des temps d'exécution moyens et des coûts de communication, et une phase de sélection-de-processeur lie chaque tâche dans l'ordre de priorité via la règle de fin-la-plus-tôt du constructeur série. Les temps d'exécution par-ressource proviennent des modes d'exécution déclarés d'une tâche moldable, et une tâche rigide dégénère en la spécialisation homogène documentée.

SolveurBase de prioritéRéférence canonique
heftrang ascendantTopcuoglu, Hariri & Wu (2002)
cpoprang ascendant-plus-descendant combiné, tâches du chemin-critique d'abordTopcuoglu, Hariri & Wu (2002)
peftrang de table-de-coût-optimisteArabnejad & Barbosa (2014)

Règles de mapping de l'ensemble-prêt

Trois règles de mapping par lots notent chaque tâche prête-en-précédence par son achèvement le plus tôt sur ses liaisons candidates, puis mappent une tâche par étape. Les règles publiées mappent un lot de tâches indépendantes ; ici le lot est l'ensemble des tâches prêtes-en-précédence, de sorte que les règles s'étendent aux charges de travail dépendantes et se réduisent au comportement publié sur les instances à tâches-indépendantes. Ces familles ont quitté le grand-livre des retirées pour un enregistrement de premier-rang une fois que les TaskSpec.modes moldables ont rendu représentable leur matrice d'achèvement-attendu par-machine.

SolveurBase de prioritéRéférence canonique
min-minplus petit meilleur achèvement d'abordIbarra & Kim (1977); Braun et al. (2001)
max-minplus grand meilleur achèvement d'abordIbarra & Kim (1977); Braun et al. (2001)
sufferageplus grand écart d'achèvement deuxième-meilleur-moins-meilleur d'abordMaheswaran et al. (1999)

Lignes-de-base iterated-greedy, tabu, et RCPSP

Trois méthodes publiées à solution-unique cherchent l'espace des ordres-de-tâches sûrs-en-précédence, chacune projetant son mécanisme canonique sur la couture ordre-exécution partagée. serial-sgs-justification est le premier solveur d'ordonnancement-de-projet sous-contrainte-de-ressources (RCPSP) de la plateforme.

SolveurMécanismeRéférence canonique
iterated-greedy-rsamorce NEH avec une boucle de destruction-reconstruction et acceptation à température-fixeRuiz & Stutzle (2007)
critical-path-taburecherche tabou avancée sur les mouvements de blocs du chemin-critiqueNowicki & Smutnicki (2005)
serial-sgs-justificationdécodage par schéma-de-génération-d'ordonnancement série avec double justification droite-puis-gaucheValls, Ballestin & Quintanilla (2005)

Lignes-de-base métaheuristiques

Les lignes-de-base métaheuristiques ensemencées représentatives partagent les mêmes opérateurs de faisabilité, réparation, notation, et recherche-locale, chacune avec sa référence canonique : genetic algorithm (Holland 1975), simulated annealing (Kirkpatrick et al. 1983), ant colony (Dorigo, Maniezzo & Colorni 1996), particle swarm (Kennedy & Eberhart 1995), et differential evolution (Storn & Price 1997).

Solveurs adaptateurs encodés

La comprehensive learning particle swarm optimization et la success-history adaptive differential evolution cherchent un vecteur continu à valeurs-réelles avec une composante par tâche. Chaque cœur est générique sur un objectif continu, de sorte que son comportement de convergence est validé directement sur un benchmark continu, et est lié au problème d'ordonnancement via un adaptateur d'encodage qui décode un vecteur en un ordre de tâches faisable-en-précédence.

SolveurInspirationAdaptationEncodage
clpsoComprehensive learning particle swarm (Liang et al. 2006)Essaim continu décodé en un ordre de précédencerandom-key
d-clpsoComprehensive learning particle swarm (Liang et al. 2006)Adaptateur discret sur le décodage smallest-position-valuespv
lshadeSuccess-history adaptive DE avec réduction linéaire de population (Tanabe & Fukunaga 2014)Differential evolution continue décodée en un ordre de précédencerandom-key
d-lshadeSuccess-history adaptive DE avec réduction linéaire de population (Tanabe & Fukunaga 2014)Adaptateur discret sur l'arrondi de rang-entierrounding

CLPSO apprend chaque dimension à partir d'un exemplaire de comprehensive-learning plutôt que d'un unique meilleur-global, de sorte que la meilleure aptitude de l'essaim s'améliore monotonement sur un bassin unimodal. L-SHADE adapte les mémoires de croisement et de facteur-d'échelle depuis son historique de succès et réduit la population linéairement jusqu'à un minimum de quatre individus. Les deux rapportent une trajectoire de convergence, et un test de convergence-correcte échoue lorsque la trajectoire observée contredit le comportement de référence publié, séparé des vérifications de reproductibilité-de-graine.

Ces solveurs sont des optimiseurs continus adaptés à un domaine discret via un pont d'encodage ; ce ne sont pas des réimplémentations exactes d'un quelconque code antérieur, et aucune affirmation de performance n'est faite avant que les campagnes comparatives ne s'exécutent.

Adaptateurs d'encodage

Chaque encodage continu-à-discret nommé est un adaptateur distinct avec une politique de réparation explicite, de sorte qu'aucun encodage n'est replié silencieusement dans un décodeur générique. Chaque adaptateur répare son ordre décodé en un ordre faisable-en-précédence et enregistre si la réparation s'est déclenchée.

AdaptateurTransfertRègle de décodageStatut de citation
random-keyidentitétrier par clé bornéecanonique (Bean 1994)
spvidentitésmallest position valuecanonique (Tasgetiren et al. 2007)
roundingidentitécréneaux de rang-entiernon-applicable
sigmoidsigmoïde en-Stirage probabiliste pondérécanonique (Kennedy & Eberhart 1997)
v-shapedmagnitude en-Vtirage probabiliste pondérécanonique (Mirjalili & Lewis 2013)
tanhtangente hyperbolique décaléetirage probabiliste pondérécanonique (Mirjalili & Lewis 2013)

Les décodages déterministes (random-key, spv, rounding) ignorent la source aléatoire ; les décodages de fonction-de-transfert consomment une source ensemencée et se rejouent sous une graine fixe. L'adaptateur rounding enregistre citation-non-applicable car l'arrondi de rang à-l'entier-le-plus-proche est une discrétisation générique sans origine séminale canonique unique.

Ensemble diversifié de concurrents

L'ensemble diversifié de concurrents élargit la comparaison au-delà des lignes-de-base représentatives avec une petite poignée de pairs récents et forts, chacun un solveur nommé avec sa référence texte-intégral projetée sur l'espace de décision ordre-uniquement, plutôt qu'une liste volumineuse de lignes-de-base classiques. Un pair ne reste sur le terrain public que lorsqu'il franchit une barre de force-de-lieu : publié dans la fenêtre de validité post-2020 dans un lieu indexé et évalué-par-les-pairs, avec le niveau du lieu enregistré pour qu'un lecteur le pondère sur la preuve plutôt que sur le prestige.

SolveurMécanismeLieuCitation
epsoEssaim à initialisation-biaisée-par-charge avec rassemblement de cheminsElectronics (MDPI), 2023 — indexéAnbarkhan & Rakrouki (2023)
adpsoRecherche par essaim à inertie descendante adaptative-au-succèsSensors (MDPI), 2022 — indexéNabi et al. (2022)
ccgpCoévolution coopérative d'arbres de règles-de-prioritéComputers & Operations Research (Elsevier), 2024 — OR de premier-rangZaki et al. (2024)

Chaque pair porte des forces, des mises-en-garde, et une classe de preuve de ligne-de-base-exécutable dans ses métadonnées afin que le recommandeur puisse expliquer pourquoi un solveur convient à un contexte. Un ensemble plus large de lignes-de-base classiques — genetic algorithms à clé-entière, biased-random-key, et estimation-of-distribution, et recherches large-neighborhood, iterated greedy, tabu, variable-neighborhood, et memetic — reste enregistré pour comparaison interne mais est tenu hors du terrain public, puisque les heuristiques représentatives portent déjà leur signal de mécanisme. Aucune affirmation de performance n'est faite avant que les campagnes comparatives ne s'exécutent.

Ancre de validité

L'ensemble de concurrents et de travaux-connexes est positionné contre les travaux de la décennie-actuelle via une ancre de validité post-2020 : Karimi-Mamaghan, Mohammadi, Pasdeloup, et Meyer (2023, apprendre à sélectionner des opérateurs via Q-learning intégré dans iterated greedy pour le permutation flowshop, European Journal of Operational Research 304(3):1296-1330, doi:10.1016/j.ejor.2022.03.054) et l'algorithme évolutionnaire multi-objectif collaboratif guidé-par-indicateur de 2024 IEEE Transactions on Evolutionary Computation pour l'ordonnancement de groupes de distributed flowshop (doi:10.1109/TEVC.2023.3339558).

Concurrents multi-objectifs

Deux concurrents Pareto font évoluer une population d'ordres de tâches sûrs-en-précédence sur un vecteur multi-objectif, distincts de la surface de nombreux-objectifs nsga3. nsga2 est le concurrent basé-sur-la-dominance — tri rapide des non-dominés avec départage par distance-de-foule — et moead est le contrepoids basé-sur-la-décomposition, scindant le problème en sous-problèmes scalaires de Tchebycheff le long d'une grille de poids simplexe structurée et remplaçant les titulaires à travers le voisinage de poids-le-plus-proche de chaque sous-problème.

SolveurMécanismeRéférence canonique
nsga2Pareto basé-sur-la-dominance : tri rapide des non-dominés, distance de fouleDeb et al. (2002)
moeadPareto basé-sur-la-décomposition : scalarisation de Tchebycheff sur une grille de poids simplexeZhang & Li (2007)

Concurrent de nombreux-objectifs

nsga3 est le concurrent de nombreux-objectifs nommé (Deb & Jain 2014, doi:10.1109/TEVC.2013.2281535), distinct de la surface de concurrent bi-objectif. Il maintient une population sur des ordres de tâches sûrs-en-précédence, évalue chaque ordre sur un vecteur multi-objectif (makespan, retard, et équité de charge), et survit à chaque génération par une sélection par nichage de points-de-référence sur des points-de-référence structurés de Das & Dennis sur le simplexe unitaire. La conception des points-de-référence, l'association des solutions à leur direction de référence la plus proche, et la sélection par comptage-de-niche sont la signature algorithmique ; le solveur déclare la capacité many-objective aux côtés de multi-objective afin qu'une campagne puisse le sélectionner explicitement.

Appariement de capacités

SolverRegistry.select apparie les solveurs par capacité, contrainte, et objectif. Les exigences de capacité et de contrainte sont toutes deux exprimées comme des étiquettes de capacité et appariées comme une conjonction : une campagne de nombreux-objectifs qui a aussi besoin de conscience-de-deadline passe required_capabilities=(SolverCapability.MANY_OBJECTIVE,) et required_constraints=(SolverCapability.DEADLINE_AWARE,), et le registre renvoie uniquement les solveurs qui déclarent les deux. Un filtre objective restreint en outre le résultat aux solveurs qui déclarent le support de cet objectif nommé.

Famille NDSO

La famille NDSO est la famille de solveurs à encodage-natif du registre : elle cherche directement sur des ordonnancements faisables. Chaque ordonnancement qu'elle produit est faisable par construction (un constructeur valide-par-conception construit un ordre respectueux-de-précédence à chaque étape), de sorte que la famille porte l'encodage native et n'exécute jamais une étape d'encodage/décodage ni une passe de réparation. La famille compose un petit ensemble de mécanismes nommés :

  • Confidence Matrix — un magasin clairsemé de confiance apprise par cellule (position, tâche), mis à jour à mesure que de meilleurs ordonnancements renforcent leurs cellules.
  • Confidence-Weighted Voting — synthétise l'ordonnancement élite en votant à travers la population pondérée par la Confidence Matrix ; la variante rapide utilise un vote de majorité non-pondéré à la place.
  • Ordonnancements Quantity-and-Quality — l'ordonnancement Quantity fixe combien un candidat change ; l'ordonnancement Quality fixe de quelle source de guidage il apprend.
  • Guidage à trois-sources — un candidat apprend de l'élite synthétisé (exploitation), d'un pair (diversité), ou d'une source de connaissance-évanouie (exploration radicale).
  • Coefficient adaptatif unifié — un ordonnancement non-linéaire fait glisser la famille de l'exploration vers l'exploitation et pilote à la fois la sensibilité et le foyer d'apprentissage ; la variante rapide le fixe à une valeur fixe.
VarianteComposition
ndso-coreConfidence-Weighted Voting, coefficient adaptatif, guidage à trois-sources
ndso-fastsynthèse par vote-de-majorité, coefficient fixe, source de guidage unique
ndso-summitConseil Inter-Essaim coordonnant plusieurs essaims avec synthèse surplombante

Conseil Inter-Essaim

La variante ndso-summit est la composition de qualité : elle exécute plusieurs essaims en parallèle et les coordonne via un seul conseil. Chaque essaim compose les mécanismes cœur sur sa propre population ; le conseil Inter-Essaim maintient ces essaims travaillant comme une seule recherche plutôt que plusieurs exécutions isolées et synthétise leurs résultats en un unique élite surplombant — l'ordonnancement que tout le sommet soutient. Le conseil est ce qui distingue la variante au premier coup d'œil : ndso-core et ndso-fast cherchent chacun avec une population, tandis que ndso-summit est la composition construite pour la recherche multi-essaim coordonnée.

Le comportement de coordination du conseil et les diagnostics par-essaim sont configurables, et chaque ordonnancement qu'il produit reste faisable par construction.

Carte d'ablation

La carte d'ablation énumère une configuration isolante par mécanisme nommé afin que l'analyse en aval puisse attribuer la contribution de chaque mécanisme. Les entrées intra-essaim désactivent chacune un interrupteur cœur — la Confidence Matrix, la Confidence-Weighted Voting, l'ordonnancement Quantity, l'ordonnancement Quality, la structure de guidage multi-source, la source pair, la source de connaissance-évanouie, et le coefficient adaptatif. Les entrées de coordination désactivent chacune un paramètre du conseil — la coordination Intra- versus Inter-Essaim et la synthèse surplombante. Chaque entrée déclare le plancher de comptage-d'exécutions auquel la couche d'analyse échantillonne sa comparaison et nomme les tests statistiques que cette couche applique (un test de significativité non-paramétrique apparié, un post-hoc de rang-moyen de Friedman avec une correction de comparaison-multiple de Holm, et une taille-d'effet Cliff's-delta). La comparaison échantillonnée est matérialisée par le moteur d'expériences en aval ; l'exécuteur en-processus prouve que chaque isolation est faisable.

Un filtre d'export par-étapes gouverne quels mécanismes une portée de rapport peut exposer : la portée de base expose uniquement les mécanismes fondationnels, et un gate fail-closed lève plutôt que de fuiter un mécanisme plus-rapide ou de plus-haute-qualité sous une portée de base, de sorte que les portées fondationnelle et rapide ne peuvent exposer les mécanismes réservés-au-conseil. Les diagnostics de convergence — diversité de population, entropie de la Confidence-Matrix, ratio d'exploration, charge de ressources, chronométrage, et la trace d'amélioration — sont optionnels et n'ajoutent aucune surcharge quand ils sont désactivés, et le conseil exporte un manifeste JSON que la couche d'analyse ingère sans importer aucun type de solveur.

Adaptateurs exacts

Les adaptateurs exacts prennent l'une de deux formes. Les adaptateurs de backend-optionnel déclarent une dépendance optionnelle et vérifient sa racine d'importation à l'exécution ; si le backend est absent ils lèvent MissingOptionalDependencyError avec le nom de l'extra, le but, le drapeau commercial, et la note de licence plutôt que d'importer une dépendance lourde durant l'importation du paquet. Les adaptateurs natifs-bornés ne portent aucune dépendance tierce et résolvent exactement les petites instances par leur propre recherche bornée — en énumérant des ordres faisables-en-précédence dans un cas, branch-and-bound par diagramme-de-décision dans l'autre —, levant UnsupportedCapabilityError lorsque l'instance dépasse le compte de tâches pris-en-charge.

SolveurMéthodeBackendExtraCommercial
ortools-cp-satCP-SATortoolsexactnon
pulp-milpMILP / MIPpulpexactnon
branch-and-boundbranch-and-bound / cutortoolsexactnon
logic-based-benders-decompositiondécomposition de Benders basée-sur-la-logiquepulpexactnon
exhaustive-enumerationénumération exhaustivenatif (sans backend)non
decision-diagram-sequencingbranch-and-bound par diagramme-de-décisionnatif (sans backend)non
gurobi-exactMILP / MIPgurobipyexact-commercialoui

La poignée exacte publique est l'ensemble ouvert représentatif — CP-SAT, MILP, branch-and-bound, et décomposition de Benders basée-sur-la-logique — plus les deux solveurs natifs bornés et le wrapper Gurobi authentiquement invoquant. Le wrapper commercial Gurobi reste derrière l'extra exact-commercial, n'est jamais empaqueté, et porte une note de licence explicite ; une licence académique est disponible. Un pool plus large de backends optionnels reste enregistré pour usage interne.

Couche de sélection et d'apprentissage

La couche de sélection classe les solveurs pour un problème sans jamais affirmer un solveur globalement meilleur. Elle consomme un enregistrement SelectionFeaturesdifficulty, heterogeneity, objective_conflict, uncertainty, dynamism, et solver_sensitivity — et les métadonnées publiques de solveur, et renvoie des lignes SolverRecommendation classées. Chaque recommandation porte un RecommendationSource (metadata ou learned-model), un ConfidenceLabel, et des notes de limitation explicites, de sorte qu'une recommandation de métadonnées n'est jamais confondue avec une apprise.

FEATURE_ORIGIN trace chaque caractéristique jusqu'à la métrique de caractérisation de benchmark qu'elle lit ; le consommateur mappe les métriques de caractérisation de dispatchatlas.bench dans le contrat de caractéristiques, de sorte que dispatchatlas.solve importe toujours dispatchatlas.core uniquement. Deux sélecteurs sont livrés : RuleBasedSelector classe depuis les capacités déclarées et la caractérisation seule (une recommandation de métadonnées), et SupervisedSelector classe depuis un corpus étiqueté par un modèle déterministe de plus-proche-voisin pondéré-par-distance (une recommandation de modèle-appris).

Le sélecteur supervisé rapporte la généralisation hors-échantillon, jamais l'ajustement d'entraînement. Le protocole de validation-croisée partitionne un corpus étiqueté de sorte qu'aucune instance, aucune famille de benchmark, et aucun enregistrement de caractérisation n'apparaisse dans les deux partitions d'entraînement et de test (partition_by_families, leave_one_family_out, leakage_report), s'entraîne sur les familles restantes, et note la famille retenue (held_out_generalization, cross_validate). Sa confiance s'élève au-dessus de métadonnées-seules uniquement lorsqu'une évaluation retenue exempte-de-fuite la soutient.

learning_interface_catalog() enregistre sept interfaces d'apprentissage et hybrides nommées — sélection d'algorithme supervisée, recherche assistée-par-substitut, hooks d'apprentissage-par-renforcement, hyper-heuristiques, réparation guidée-par-politique, initialisation apprise, et une ligne-de-base benchmark-uniquement. Chacune déclare une LearningEvidencePolicy (données d'entraînement, contrôles de fuite, reproductibilité, classe de preuve, éligibilité de niveau-de-preuve). Deux sont implémentées ici ; les cinq autres sont des interfaces différées enregistrées dont la réalisation est conditionnée aux campagnes comparatives qui produisent des données d'entraînement. Les backends d'estimateur lourds restent derrière l'extra optionnel learning et sont sondés par racine d'importation, jamais importés durant l'importation du paquet ; l'absence lève MissingOptionalDependencyError tandis que le repli déterministe reste disponible.

Garde-fous de performance

La notation par lots est explicite via BatchScoringProfile. Le kernel actuel utilise un repli de bibliothèque-standard et enregistre ce repli dans les diagnostics. Cela maintient l'API prête pour des kernels vectorisés ou accélérés tout en préservant un chemin testé et portable.