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Programmation Linéaire en Nombres Entiers Robuste×Programmation Linéaire en Nombres Entiers×
DomaineSimulationSimulation
FamilleProcess / pipelineProcess / pipeline
Année d'origine1998–20041958–1960
Auteur d'origineBen-Tal & Nemirovski; Bertsimas & SimRalph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
TypeDeterministic robust reformulation of MIP under uncertaintyMathematical optimization
Source fondatriceBertsimas, D., Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35–53. DOI ↗Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
AliasRMIP, Robust MIP, Uncertain MIP, Robust MILP/MIQPMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
Apparentées46
RésuméRobust Mixed-Integer Programming (RMIP) combines mixed-integer programming with robust optimization to find solutions that remain feasible and near-optimal despite uncertain parameters. Instead of assuming fixed data, it protects decisions against adversarial or worst-case realizations of uncertain inputs, using an explicit uncertainty set to control the degree of conservatism while preserving the combinatorial structure of integer decisions.Mixed-Integer Programming (MIP) is a mathematical optimization framework in which some decision variables must take integer values while others may be continuous. It generalizes linear programming and is widely used in operations research, logistics, scheduling, resource allocation, and engineering design, where indivisibility constraints — such as yes/no decisions or whole-unit quantities — arise naturally.
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  1. v1
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  3. PUBLISHED

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ScholarGateComparer des méthodes: Robust Mixed-Integer Programming · Mixed-Integer Programming. Consulté le 2026-06-15 sur https://scholargate.app/fr/compare