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Pengaturcaraan Integer Senario Polisi×Robust Integer Programming×Pengaturcaraan Integer Stokastik×
BidangSimulasiSimulasiSimulasi
KeluargaProcess / pipelineProcess / pipelineProcess / pipeline
Tahun asal1950s–1960s (scenario extension: 1990s onwards)20031955
PengasasOperations research community (Dantzig, Gomory, and others)Bertsimas, D. and Sim, M.Dantzig, G. B.; Beale, E. M. L.
JenisDiscrete combinatorial optimization under scenario uncertaintyDeterministic robust optimization with integer variablesOptimization under uncertainty with discrete decisions
Sumber perintisBirge, J. R., & Louveaux, F. (2011). Introduction to Stochastic Programming (2nd ed.). Springer. ISBN: 9781461402367Bertsimas, D., Sim, M. (2003). Robust discrete optimization and network flows. Mathematical Programming, 98(1-3), 49-71. DOI ↗Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer, New York. ISBN: 978-1-4614-0237-4
AliasPSIP, scenario-based integer programming, policy-driven IP, scenario integer optimizationRIP, Robust IP, Robust Combinatorial Optimization, Integer Robust OptimizationSIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic Programming
Berkaitan266
RingkasanPolicy Scenario Integer Programming (PSIP) solves an integer programming model — where some or all decision variables must take whole-number values — separately under each of several distinct policy scenarios, then compares objective values, feasibility, and solution structures to identify which policy environment leads to the best discrete allocation or assignment outcome.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.Stochastic Integer Programming (SIP) is an optimization framework that combines integer (discrete) decision variables with explicit probabilistic modeling of uncertainty. It seeks the best here-and-now decision that minimizes expected cost (or maximizes expected benefit) across a distribution of future scenarios, accounting for the fact that some decisions must be made before uncertainty is resolved.
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ScholarGateBandingkan kaedah: Policy Scenario Integer Programming · Robust Integer Programming · Stochastic Integer Programming. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare