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Programmation linéaire bayésienne×Programmation Linéaire Multi-Objectif (PLMO)×
DomaineSimulationSimulation
FamilleProcess / pipelineProcess / pipeline
Année d'origine1970s–1980s1955–1986
Auteur d'origineIntegrated from Dantzig (LP) and Zellner/Bayesian econometrics traditionsSteuer, R. E.; Charnes, A.; Cooper, W. W.
TypeOptimization under Bayesian uncertaintyMathematical optimization / vector optimization
Source fondatriceDantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press, Princeton, NJ. ISBN: 9780691059136Steuer, R. E. (1986). Multiple Criteria Optimization: Theory, Computation, and Application. John Wiley & Sons, New York. ISBN: 9780471888468
AliasBLP, Bayesian LP, Bayesian stochastic linear programming, prior-posterior LPMOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector Optimization
Apparentées63
RésuméBayesian Linear Programming (BLP) integrates Bayesian statistical inference with classical linear programming to handle uncertainty in model parameters such as objective function coefficients, constraint coefficients, or right-hand-side values. Instead of treating parameters as fixed or governed by worst-case bounds, BLP uses prior beliefs updated by data to form posterior distributions, which then guide the LP formulation and solution, producing decisions that are optimal in a probabilistic, data-informed sense.Multi-Objective Linear Programming (MOLP) extends classical linear programming to handle several conflicting linear objective functions simultaneously over a feasible region defined by linear constraints. Instead of a single optimal solution, MOLP produces a Pareto-efficient frontier from which a decision-maker selects a preferred trade-off. It is foundational to operations research and management science for resource allocation, planning, and design problems with competing goals.
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  1. v1
  2. 2 Sources
  3. PUBLISHED

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ScholarGateComparer des méthodes: Bayesian Linear Programming · Multi-objective linear programming. Consulté le 2026-06-15 sur https://scholargate.app/fr/compare