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Robuste gemischt-ganzzahlige Programmierung×Robuste lineare Programmierung×
FachgebietSimulationSimulation
FamilieProcess / pipelineProcess / pipeline
Entstehungsjahr1998–20041999–2004
UrheberBen-Tal & Nemirovski; Bertsimas & SimBen-Tal, A. and Nemirovski, A.; further developed by Bertsimas, D. and Sim, M.
TypDeterministic robust reformulation of MIP under uncertaintyUncertainty-robust linear optimization
Wegweisende QuelleBertsimas, D., Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35–53. DOI ↗Bertsimas, D., Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35–53. DOI ↗
AliasnamenRMIP, Robust MIP, Uncertain MIP, Robust MILP/MIQPRLP, Robust LP, Tractable Robust LP, Uncertainty-Set LP
Verwandt45
ZusammenfassungRobust 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.Robust Linear Programming (RLP) extends classical linear programming to handle uncertainty in problem data — cost coefficients, constraint coefficients, or right-hand sides — by requiring solutions to remain feasible and near-optimal across all realizations of uncertain parameters within a defined uncertainty set. It replaces probabilistic assumptions with worst-case guarantees, making it practical when distributional knowledge is limited.
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ScholarGateMethoden vergleichen: Robust Mixed-Integer Programming · Robust Linear Programming. Abgerufen am 2026-06-15 von https://scholargate.app/de/compare