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Sistema de solvers

dispatchatlas.solve detém os metadados de solvers, a seleção, a construção de escalonamentos, o reparo, as salvaguardas de desempenho, as famílias de linha-base, os adaptadores opcionais, e a família NDSO.

O pacote importa apenas dispatchatlas.core. Os testes de integração de fumaça com benchmarks vivem em tests/solve/ para que o pacote de runtime não dependa de geradores de benchmarks concretos.

Exemplo executável: examples/compare_solvers.py escalona uma coorte de solvers em paralelo e a ancora com um ótimo exato comprovado.

Registro

SolverRegistry armazena fábricas de solvers sem-estado com metadados ricos:

  • rótulos de capacidade como capacity-aware, precedence-aware, repair, local-search, e ndso
  • objetivos suportados como makespan, energy, e cost
  • restrições declaradas expressas por meio de rótulos de capacidade
  • critérios de parada padrão
  • comportamento de replay determinístico ou estocástico-semeado
  • codificação de solução (permutation, mapping, assignment, ou native)
  • declarações de dependência opcionais e divulgação de backend-comercial
  • visibilidade de nível-de-evidência para exportações escalonadas
  • uma citação canônica, ou uma justificativa explícita de citação-não-aplicável

Cada família de solver nomeada carrega uma citação que falha fechando: uma família com uma origem seminal canônica que omite sua referência não pode ser construída, e uma família sem uma única origem canônica registra a razão em vez de fabricar uma.

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

Catálogo do registro

Cada solver do registro, em uma tabela ordenável e pesquisável. A tabela e seus totais são gerados a partir de default_solver_registry(), de modo que as contagens abaixo são contáveis a partir das próprias linhas. Um gráfico de cobertura de capacidades acima da tabela resume quantos solvers do registro declaram cada capacidade declarada.

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.

Aplicabilidade do solver

Quais solvers se aplicam a qual família de benchmark, lido da matriz de aplicabilidade. Cada célula é aplicabilidade declarada, nunca uma alegação de desempenho: células verificadas citam uma campanha pública, citação ou teste nomeado, e células aproximadas são derivadas das capacidades declaradas do solver e das características da família de benchmark. A tabela abaixo é gerada a partir do pacote público de aplicabilidade, portanto seus totais de status são contáveis a partir das próprias linhas.

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.

Linhas-base de despacho

As linhas-base determinísticas empacotadas são solvers construtivos de escalonamento-por-lista. Cada um controla a ordem de tarefas; o construtor serial honra as demandas de recurso declaradas de cada tarefa e atribui cada tarefa ao seu recurso demandado de disponibilidade-mais-cedo. Cada família nomeia sua referência seminal canônica.

SolverBase de prioridadeReferência canônica
earliest-startordem topológica de entradanão aplicável (linha-base de identidade)
shortest-processing-timetarefa de menor duração primeiroSmith (1956)
longest-processing-timetarefa de maior duração primeiroGraham (1969)
earliest-deadlinedeadline mais cedo primeiro (consciente-de-deadline)Jackson (1955)
earliest-finish-timefim alcançável mais cedo primeiroTopcuoglu et al. (2002)
minimum-slackmenor folga de escalonamento primeiroConway, Maxwell & Miller (1967)
greedy-completionconclusão consciente-do-estado mais cedo primeiroGraham (1966)
apparent-tardiness-costmaior índice de custo-de-atraso-aparente primeiro (consciente-de-deadline)Vepsalainen & Morton (1987)

Famílias de despacho aposentadas

As famílias de mapeamento-de-recursos são registradas explicitamente em vez de dobradas silenciosamente em um tipo genérico. Elas controlam a atribuição de recursos, não a ordem de tarefas, e o construtor serial respeitoso-da-demanda não expõe nenhuma decisão de mapeamento livre sob o modelo de problema núcleo atual:

  • Mapeamento de recursos (olb, met, mct, round-robin, load-balanced): o construtor atribui cada tarefa ao seu recurso declarado, de modo que essas heurísticas não têm grau de liberdade realizável; o mapeamento consciente-do-tempo-de-execução é propriedade do trabalho de objetivos e restrições, não desta base.
  • Rótulos de tipo ausentes (type-aware, domain-aware): requerem rótulos de tipo-de-tarefa e tipo-de-recurso que o modelo de problema núcleo atual não carrega.

retired_dispatching_families() retorna o livro-razão completo com justificativa e citação por-família.

Escalonadores de lista baseados em posto

Três escalonadores de lista conscientes-de-heterogeneidade compartilham uma forma de duas-fases: uma fase de priorização estática classifica cada tarefa sobre o DAG de precedência a partir de tempos-de-execução médios e custos de comunicação, e uma fase de seleção-de-processador vincula cada tarefa em ordem de prioridade por meio da regra de fim-mais-cedo do construtor serial. Os tempos-de-execução por-recurso vêm dos modos de execução declarados de uma tarefa moldável, e uma tarefa rígida degenera para a especialização homogênea documentada.

SolverBase de prioridadeReferência canônica
heftposto ascendenteTopcuoglu, Hariri & Wu (2002)
cpopposto ascendente-mais-descendente combinado, tarefas de caminho-crítico primeiroTopcuoglu, Hariri & Wu (2002)
peftposto de tabela-de-custo-otimistaArabnejad & Barbosa (2014)

Regras de mapeamento do conjunto-pronto

Três regras de mapeamento em lote pontuam cada tarefa pronta-em-precedência por sua conclusão mais cedo sobre suas vinculações candidatas, e então mapeiam uma tarefa por passo. As regras publicadas mapeiam um lote de tarefas independentes; aqui o lote é o conjunto pronto-em-precedência, de modo que as regras se estendem a cargas-de-trabalho dependentes e se reduzem ao comportamento publicado em instâncias de tarefas-independentes. Essas famílias deixaram o livro-razão aposentado para registro de primeira-classe uma vez que os TaskSpec.modes moldáveis tornaram representável sua matriz de conclusão-esperada por-máquina.

SolverBase de prioridadeReferência canônica
min-minmenor melhor-conclusão a seguirIbarra & Kim (1977); Braun et al. (2001)
max-minmaior melhor-conclusão a seguirIbarra & Kim (1977); Braun et al. (2001)
sufferagemaior lacuna de conclusão segunda-melhor-menos-melhor a seguirMaheswaran et al. (1999)

Linhas-base de guloso-iterado, tabu, e RCPSP

Três métodos publicados de solução-única buscam o espaço de ordem-de-tarefas seguro-em-precedência, cada um projetando seu mecanismo canônico sobre a costura compartilhada de ordem-execução. serial-sgs-justification é o primeiro solver de escalonamento-de-projeto com-restrição-de-recursos (RCPSP) da plataforma.

SolverMecanismoReferência canônica
iterated-greedy-rssemente NEH com um laço de destruição-reconstrução e aceitação de temperatura-fixaRuiz & Stutzle (2007)
critical-path-tabubusca tabu avançada sobre movimentos de bloco de caminho-críticoNowicki & Smutnicki (2005)
serial-sgs-justificationdecode de esquema-de-geração-de-escalonamento serial com dupla justificação direita-depois-esquerdaValls, Ballestin & Quintanilla (2005)

Linhas-base metaheurísticas

As linhas-base metaheurísticas semeadas representativas compartilham os mesmos operadores de factibilidade, reparo, pontuação, e busca-local, cada uma com sua referência canônica: algoritmo genético (Holland 1975), recozimento simulado (Kirkpatrick et al. 1983), colônia de formigas (Dorigo, Maniezzo & Colorni 1996), enxame de partículas (Kennedy & Eberhart 1995), e evolução diferencial (Storn & Price 1997).

Solvers de adaptador codificado

A otimização por enxame de partículas com aprendizado abrangente e a evolução diferencial adaptativa por histórico-de-sucessos buscam um vetor contínuo de valores-reais com um componente por tarefa. Cada núcleo é genérico sobre um objetivo contínuo, de modo que seu comportamento de convergência é validado diretamente sobre um benchmark contínuo, e é vinculado ao problema de escalonamento por meio de um adaptador de codificação que decodifica um vetor em uma ordem de tarefas factível-em-precedência.

SolverInspiraçãoAdaptaçãoCodificação
clpsoEnxame de partículas com aprendizado abrangente (Liang et al. 2006)Enxame contínuo decodificado a uma ordem de precedênciarandom-key
d-clpsoEnxame de partículas com aprendizado abrangente (Liang et al. 2006)Adaptador discreto sobre o decode de menor-valor-de-posiçãospv
lshadeDE adaptativa por histórico-de-sucessos com redução linear de população (Tanabe & Fukunaga 2014)Evolução diferencial contínua decodificada a uma ordem de precedênciarandom-key
d-lshadeDE adaptativa por histórico-de-sucessos com redução linear de população (Tanabe & Fukunaga 2014)Adaptador discreto sobre o arredondamento por posto-inteirorounding

CLPSO aprende cada dimensão de um exemplar de aprendizado-abrangente em vez de um único melhor-global, de modo que a melhor aptidão do enxame melhora monotonicamente sobre uma bacia unimodal. L-SHADE adapta as memórias de cruzamento e fator-de-escala de seu histórico de sucessos e encolhe a população linearmente até um mínimo de quatro indivíduos. Ambos reportam uma trajetória de convergência, e um teste de correção-de-convergência falha quando a trajetória observada contradiz o comportamento de referência publicado, separado das verificações de reprodutibilidade-de-semente.

Esses solvers são otimizadores contínuos adaptados a um domínio discreto por meio de uma ponte de codificação; eles não são reimplementações exatas de nenhum código anterior, e nenhuma afirmação de desempenho é feita antes de as campanhas comparativas rodarem.

Adaptadores de codificação

Cada codificação contínua-para-discreta nomeada é um adaptador distinto com uma política de reparo explícita, de modo que nenhuma codificação é dobrada silenciosamente em um decodificador genérico. Cada adaptador repara sua ordem decodificada em uma ordem factível-em-precedência e registra se o reparo disparou.

AdaptadorTransferênciaRegra de decodeEstado de citação
random-keyidentidadeordenar por chave limitadacanônica (Bean 1994)
spvidentidademenor valor de posiçãocanônica (Tasgetiren et al. 2007)
roundingidentidadeslots de posto inteironão-aplicável
sigmoidsigmoide em Ssorteio probabilístico ponderadocanônica (Kennedy & Eberhart 1997)
v-shapedmagnitude em Vsorteio probabilístico ponderadocanônica (Mirjalili & Lewis 2013)
tanhtangente hiperbólica deslocadasorteio probabilístico ponderadocanônica (Mirjalili & Lewis 2013)

Os decodes determinísticos (random-key, spv, rounding) ignoram a fonte aleatória; os decodes de função-de-transferência consomem uma fonte semeada e se replicam sob uma semente fixa. O adaptador rounding registra citação-não-aplicável porque o arredondamento por posto ao-inteiro-mais-próximo é uma discretização genérica sem uma única origem seminal canônica.

Conjunto de competidores diversificado

O conjunto de competidores diversificado amplia a comparação além das linhas-base representativas com um pequeno punhado de pares recentes e fortes, cada um um solver nomeado com sua referência de texto-completo projetada sobre o espaço de decisão de somente-ordem, em vez de uma lista volumosa de linhas-base clássicas. Um par permanece no campo público apenas quando supera uma barra de força-de-veículo: publicado dentro da janela de vigência pós-2020 em um veículo indexado e revisado-por-pares, com o nível do veículo registrado para que um leitor o pondere por evidência em vez de por prestígio.

SolverMecanismoVeículoCitação
epsoEnxame com inicialização-enviesada-por-carga com coleta de caminhosElectronics (MDPI), 2023 — indexadoAnbarkhan & Rakrouki (2023)
adpsoBusca por enxame com inércia descendente adaptativa-ao-sucessoSensors (MDPI), 2022 — indexadoNabi et al. (2022)
ccgpCoevolução cooperativa de árvores de regras-de-prioridadeComputers & Operations Research (Elsevier), 2024 — OR de primeiro-nívelZaki et al. (2024)

Cada par carrega forças, ressalvas, e uma classe de evidência de linha-base-executável em seus metadados para que o recomendador possa explicar por que um solver se ajusta a um contexto. Um conjunto mais amplo de linhas-base clássicas — algoritmos genéticos de chave-inteira, chave-aleatória-enviesada, e estimação-de-distribuição, e buscas de grande-vizinhança, gulosas-iteradas, tabu, vizinhança-variável, e meméticas — permanece registrado para comparação interna mas é mantido fora do campo público, já que as heurísticas representativas já carregam seu sinal de mecanismo. Nenhuma afirmação de desempenho é feita antes de as campanhas comparativas rodarem.

Âncora de vigência

O conjunto de competidores e trabalho-relacionado é posicionado contra o trabalho da década-atual por meio de uma âncora de vigência pós-2020: Karimi-Mamaghan, Mohammadi, Pasdeloup, e Meyer (2023, aprender a selecionar operadores via Q-learning integrado em greedy iterado para o flowshop de permutação, European Journal of Operational Research 304(3):1296-1330, doi:10.1016/j.ejor.2022.03.054) e o algoritmo evolutivo multi-objetivo colaborativo dirigido-por-indicador de 2024 IEEE Transactions on Evolutionary Computation para o escalonamento de grupos de flowshop distribuído (doi:10.1109/TEVC.2023.3339558).

Competidores multi-objetivo

Dois competidores de Pareto evoluem uma população de ordens de tarefas seguras-em-precedência sobre um vetor multi-objetivo, distintos da superfície de muitos-objetivos nsga3. nsga2 é o competidor baseado-em-dominância — ordenação não-dominada rápida com desempate por distância-de-aglomeração — e moead é o contrapeso baseado-em-decomposição, dividindo o problema em subproblemas escalares de Tchebycheff ao longo de uma grade estruturada de pesos no simplex e substituindo os incumbentes através da vizinhança de peso-mais-próximo de cada subproblema.

SolverMecanismoReferência canônica
nsga2Pareto baseado-em-dominância: ordenação não-dominada rápida, distância-de-aglomeraçãoDeb et al. (2002)
moeadPareto baseado-em-decomposição: escalarização de Tchebycheff sobre uma grade de pesos no simplexZhang & Li (2007)

Competidor de muitos-objetivos

nsga3 é o competidor de muitos-objetivos nomeado (Deb & Jain 2014, doi:10.1109/TEVC.2013.2281535), distinto da superfície de competidor bi-objetivo. Mantém uma população sobre ordens de tarefas seguras-em-precedência, avalia cada ordem em um vetor multi-objetivo (makespan, atraso, e equidade de carga), e sobrevive a cada geração por uma seleção de nichamento-por-pontos-de-referência sobre os pontos de referência estruturados de Das & Dennis no simplex unitário. O design de pontos-de-referência, a associação de soluções à sua direção de referência mais próxima, e a seleção de contagem-de-nicho são a assinatura algorítmica; o solver declara a capacidade many-objective junto a multi-objective para que uma campanha possa selecioná-lo explicitamente.

Correspondência de capacidades

SolverRegistry.select corresponde solvers por capacidade, restrição, e objetivo. Os requisitos de capacidade e restrição são ambos expressos como rótulos de capacidade e correspondidos como uma conjunção: uma campanha de muitos-objetivos que também precisa de consciência-de-deadline passa required_capabilities=(SolverCapability.MANY_OBJECTIVE,) e required_constraints=(SolverCapability.DEADLINE_AWARE,), e o registro retorna apenas solvers que declaram ambas. Um filtro objective restringe ainda mais o resultado a solvers que declaram suporte para aquele objetivo nomeado.

Família NDSO

A família NDSO é a família de solver de codificação-nativa do registro: busca diretamente sobre escalonamentos factíveis. Cada escalonamento que produz é factível por construção (um construtor de validade-por-design constrói uma ordem respeitosa-da-precedência a cada passo), de modo que a família carrega a codificação native e nunca executa um passo de codificar/decodificar nem uma passada de reparo. A família compõe um pequeno conjunto de mecanismos nomeados:

  • Matriz de confiança — um armazenamento esparso de confiança aprendida por célula (posição, tarefa), atualizado conforme os melhores escalonamentos reforçam suas células.
  • Votação ponderada-por-confiança — sintetiza o escalonamento elite votando através da população ponderada pela Matriz de confiança; a variante rápida usa em vez disso um voto majoritário não-ponderado.
  • Escalonamentos de quantidade-e-qualidade — o escalonamento de Quantidade define quanto um candidato muda; o escalonamento de Qualidade define de qual fonte de orientação ele aprende.
  • Orientação de três-fontes — um candidato aprende da elite sintetizada (exploração- produtiva), um par (diversidade), ou uma fonte de conhecimento-desaparecido (exploração radical).
  • Coeficiente adaptativo unificado — um escalonamento não-linear desloca a família da exploração para a exploração-produtiva e impulsiona tanto a sensibilidade quanto o foco-de-aprendizado; a variante rápida o fixa a um valor fixo.
VarianteComposição
ndso-coreVotação ponderada-por-confiança, coeficiente adaptativo, orientação de três-fontes
ndso-fastsíntese por voto-majoritário, coeficiente fixo, fonte de orientação única
ndso-summitConselho Inter-Enxame coordenando vários enxames com síntese abrangente

Conselho Inter-Enxame

A variante ndso-summit é a composição de qualidade: roda vários enxames em paralelo e os coordena através de um conselho. Cada enxame compõe os mecanismos núcleo sobre sua própria população; o conselho Inter-Enxame mantém esses enxames trabalhando como uma única busca em vez de várias execuções isoladas e sintetiza seus resultados em uma única elite abrangente — o escalonamento por trás do qual toda a cúpula se posiciona. O conselho é o que distingue a variante à primeira vista: ndso-core e ndso-fast buscam cada um com uma população, enquanto ndso-summit é a composição construída para busca multi-enxame coordenada.

O comportamento de coordenação do conselho e os diagnósticos por-enxame são configuráveis, e cada escalonamento que produz permanece factível por construção.

Mapa de ablação

O mapa de ablação enumera uma configuração isolante por mecanismo nomeado para que a análise posterior possa atribuir a contribuição de cada mecanismo. As entradas intra-enxame cada uma desabilitam um interruptor núcleo — a Matriz de confiança, a Votação ponderada-por-confiança, o escalonamento de Quantidade, o escalonamento de Qualidade, a estrutura de orientação multi-fonte, a fonte par, a fonte de conhecimento-desaparecido, e o coeficiente adaptativo. As entradas de coordenação cada uma desabilitam um parâmetro do conselho — a coordenação Intra- versus Inter-Enxame e a síntese abrangente. Cada entrada declara o piso de contagem-de-execuções no qual a camada de análise amostra sua comparação e nomeia os testes estatísticos que essa camada aplica (um teste de significância não-paramétrico pareado, um post-hoc de posto-médio de Friedman com uma correção de comparação-múltipla de Holm, e um tamanho-de-efeito de delta-de-Cliff). A comparação amostrada é materializada pelo motor de experimentos posterior; o runner em-processo prova que cada isolamento é factível.

Um filtro de exportação escalonado governa quais mecanismos um escopo de relatório pode expor: o escopo base expõe apenas os mecanismos fundacionais, e um gate fail-closed levanta em vez de vazar um mecanismo mais-rápido ou de maior-qualidade sob um escopo base, de modo que os escopos fundacional e rápido não podem expor os mecanismos somente-de-conselho. Os diagnósticos de convergência — diversidade de população, entropia da Matriz-de-confiança, razão de exploração, carga de recursos, temporização, e o traço de melhoria — são opcionais e não adicionam sobrecarga quando desabilitados, e o conselho exporta um manifesto JSON que a camada de análise ingere sem importar nenhum tipo de solver.

Adaptadores exatos

Os adaptadores exatos tomam uma de duas formas. Os adaptadores de backend-opcional declaram uma dependência opcional e verificam sua raiz de importação em runtime; se o backend está ausente eles levantam MissingOptionalDependencyError com o nome do extra, o propósito, a flag comercial, e a nota de licenciamento em vez de importar uma dependência pesada durante a importação do pacote. Os adaptadores nativo-limitados não carregam dependência de terceiros e resolvem instâncias pequenas exatamente por sua própria busca limitada — enumerando ordens factíveis-em-precedência em um caso, branch-and-bound de diagrama-de-decisão no outro —, levantando UnsupportedCapabilityError quando a instância excede a contagem de tarefas suportada.

SolverMétodoBackendExtraComercial
ortools-cp-satCP-SATortoolsexactnão
pulp-milpMILP / MIPpulpexactnão
branch-and-boundbranch-and-bound / cutortoolsexactnão
logic-based-benders-decompositiondecomposição de Benders baseada-em-lógicapulpexactnão
exhaustive-enumerationenumeração exaustivanativo (sem backend)não
decision-diagram-sequencingbranch-and-bound de diagrama-de-decisãonativo (sem backend)não
gurobi-exactMILP / MIPgurobipyexact-commercialsim

O punhado exato público é o conjunto aberto representativo — CP-SAT, MILP, branch-and-bound, e decomposição de Benders baseada-em-lógica — mais os dois solvers nativos limitados e o invólucro de Gurobi genuinamente invocante. O invólucro comercial de Gurobi permanece atrás do extra exact-commercial, nunca é empacotado, e carrega uma nota de licenciamento explícita; há uma licença acadêmica disponível. Um pool mais amplo de backends opcionais permanece registrado para uso interno.

Camada de seleção e aprendizado

A camada de seleção classifica solvers para um problema sem nunca afirmar um solver globalmente melhor. Consome um registro SelectionFeaturesdifficulty, heterogeneity, objective_conflict, uncertainty, dynamism, e solver_sensitivity — e metadados públicos de solver, e retorna linhas SolverRecommendation classificadas. Cada recomendação carrega um RecommendationSource (metadata ou learned-model), um ConfidenceLabel, e notas de limitação explícitas, de modo que uma recomendação de metadados nunca é confundida com uma aprendida.

FEATURE_ORIGIN rastreia cada característica até a métrica de caracterização de benchmark que lê; o consumidor mapeia as métricas de caracterização de dispatchatlas.bench no contrato de características, de modo que dispatchatlas.solve ainda importa apenas dispatchatlas.core. Dois seletores são enviados: RuleBasedSelector classifica a partir de capacidades declaradas e caracterização apenas (uma recomendação de metadados), e SupervisedSelector classifica a partir de um corpus rotulado por um modelo determinístico de vizinho-mais-próximo ponderado-por-distância (uma recomendação de modelo-aprendido).

O seletor supervisionado reporta generalização em-reserva, nunca ajuste de treinamento. O protocolo de validação-cruzada particiona um corpus rotulado de modo que nenhuma instância, nenhuma família de benchmark, e nenhum registro de caracterização apareça em ambas as partições de treinamento e de teste (partition_by_families, leave_one_family_out, leakage_report), treina sobre as famílias restantes, e pontua a família em-reserva (held_out_generalization, cross_validate). Sua confiança sobe acima de somente-metadados apenas quando uma avaliação em-reserva livre-de-vazamento a respalda.

learning_interface_catalog() registra sete interfaces de aprendizado e híbridas nomeadas — seleção de algoritmo supervisionada, busca assistida-por-substituto, ganchos de aprendizado-por-reforço, hiper-heurísticas, reparo guiado-por-política, inicialização aprendida, e uma linha-base somente-de-benchmark. Cada uma declara uma LearningEvidencePolicy (dados de treinamento, controles de vazamento, reprodutibilidade, classe de evidência, elegibilidade de nível-de-evidência). Duas estão implementadas aqui; as outras cinco são interfaces diferidas registradas cuja realização está condicionada às campanhas comparativas que produzem dados de treinamento. Os backends de estimador pesados permanecem atrás do extra opcional learning e são sondados por raiz de importação, nunca importados durante a importação do pacote; a ausência levanta MissingOptionalDependencyError enquanto o fallback determinístico permanece disponível.

Salvaguardas de desempenho

A pontuação em lote é explícita por meio de BatchScoringProfile. O kernel atual usa um fallback de biblioteca-padrão e registra esse fallback nos diagnósticos. Isso mantém a API pronta para kernels vetorizados ou acelerados enquanto preserva um caminho testado e portável.