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분야시뮬레이션시뮬레이션
계열Process / pipelineProcess / pipeline
기원 연도1958–19601998–2004
창시자Gomory, R. E.; Dantzig, G. B.; Land, A. H.; Doig, A. G.Ben-Tal & Nemirovski; Bertsimas & Sim
유형Mathematical programming / combinatorial optimizationDeterministic robust reformulation of MIP under uncertainty
원전Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. John Wiley & Sons, New York. ISBN: 9780471359432Bertsimas, D., Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35–53. DOI ↗
별칭Deterministic MIP, Deterministic MILP/MIQP, Classical Mixed-Integer Programming, Deterministic MIP OptimizationRMIP, Robust MIP, Uncertain MIP, Robust MILP/MIQP
관련64
요약Deterministic Mixed-Integer Programming (MIP) is a mathematical optimization framework that finds the provably optimal solution to problems involving both continuous and integer decision variables under fully known, fixed coefficients and constraints. It is the foundational workhorse of operations research when all data are treated as certain.Robust 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.
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