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Sekalukuohjelmointi×Stokastinen kokonaislukuoptimointi×
TieteenalaSimulointiSimulointi
MenetelmäperheProcess / pipelineProcess / pipeline
Syntyvuosi1958–19601990s–2000s
KehittäjäRalph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)Birge, J. R.; Louveaux, F.; Sen, S.
TyyppiMathematical optimizationStochastic optimization model
AlkuperäislähdeNemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175
RinnakkaisnimetMIP, Mixed-Integer Linear Programming, MILP, Integer ProgrammingSMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP
Liittyvät65
TiivistelmäMixed-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.Stochastic Mixed-Integer Programming (SMIP) is an optimization framework that finds the best mix of binary, integer, and continuous decisions when key parameters — costs, demands, capacities — are uncertain and modeled as probability distributions over a set of scenarios. It extends classical MIP by embedding scenario trees or expected-value objectives that hedge against uncertainty while respecting combinatorial constraints.
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ScholarGateVertaile menetelmiä: Mixed-Integer Programming · Stochastic Mixed-Integer Programming. Haettu 2026-06-15 osoitteesta https://scholargate.app/fi/compare