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鲁棒整数规划×混合整数规划×
领域仿真仿真
方法族Process / pipelineProcess / pipeline
起源年份20031958–1960
提出者Bertsimas, D. and Sim, M.Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
类型Deterministic robust optimization with integer variablesMathematical optimization
开创性文献Bertsimas, D., Sim, M. (2003). Robust discrete optimization and network flows. Mathematical Programming, 98(1-3), 49-71. DOI ↗Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
别名RIP, Robust IP, Robust Combinatorial Optimization, Integer Robust OptimizationMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
相关66
摘要Robust Integer Programming (RIP) finds integer or binary solutions that remain feasible and near-optimal across all scenarios in a prescribed uncertainty set. Rather than assuming exact knowledge of data, RIP hedges against the worst-case realization of uncertain costs or constraint coefficients, delivering decisions that are guaranteed to perform well even when inputs deviate from their nominal values.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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ScholarGate方法对比: Robust Integer Programming · Mixed-Integer Programming. 于 2026-06-15 检索自 https://scholargate.app/zh/compare