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Optimisation à deux niveaux (Leader-Follower)×Optimisation Robuste×
DomaineOptimisationOptimisation
FamilleProcess / pipelineProcess / pipeline
Année d'origine19981970s theoretical roots; modern tractable form from late 1990s–2004
Auteur d'origineJonathan BardBen-Tal, El Ghaoui & Nemirovski (seminal book, 2009); Bertsimas & Sim (tractable polyhedral formulation, 2004)
TypeHierarchical mathematical programmingMathematical programming framework
Source fondatriceBard, J. F. (1998). Practical Bilevel Optimization: Algorithms and Applications. Kluwer Academic Publishers. ISBN: 978-0-7923-5458-7Ben-Tal, A., El Ghaoui, L. & Nemirovski, A. (2009). Robust Optimization. Princeton University Press. ISBN: 9780691143682
AliasStackelberg Optimization, Hierarchical Programming, Nested Optimization, İki Düzeyli Optimizasyonminimax optimization, worst-case optimization, Gürbüz Optimizasyon (Robust Optimization)
Apparentées35
RésuméBilevel optimization is a class of mathematical programming problems in which one optimization problem is nested inside another. The upper-level (leader) problem optimizes its objective subject to constraints that include the solution of a lower-level (follower) problem. Formalized comprehensively by Jonathan Bard in 1998, the framework models hierarchical decision-making where the leader anticipates and accounts for the rational response of the follower.Robust optimization is a mathematical programming framework, formalised by Ben-Tal and Nemirovski in the late 1990s and made broadly tractable by Bertsimas and Sim (2004), that finds decisions guaranteed to perform acceptably under every scenario within a predefined uncertainty set — rather than assuming parameter values are known exactly. Instead of optimising for a single expected outcome, it minimises the worst-case objective across all plausible realisations of uncertain data.
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ScholarGateComparer des méthodes: Bilevel Optimization · Robust Optimization. Consulté le 2026-06-15 sur https://scholargate.app/fr/compare