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| Pemrograman Integer Skenario Kebijakan× | Pemrograman Integer Robust× | Pemrograman Integer Stokastik× | |
|---|---|---|---|
| Bidang | Simulasi | Simulasi | Simulasi |
| Keluarga | Process / pipeline | Process / pipeline | Process / pipeline |
| Tahun asal≠ | 1950s–1960s (scenario extension: 1990s onwards) | 2003 | 1955 |
| Pencetus≠ | Operations research community (Dantzig, Gomory, and others) | Bertsimas, D. and Sim, M. | Dantzig, G. B.; Beale, E. M. L. |
| Tipe≠ | Discrete combinatorial optimization under scenario uncertainty | Deterministic robust optimization with integer variables | Optimization under uncertainty with discrete decisions |
| Sumber perintis≠ | Birge, J. R., & Louveaux, F. (2011). Introduction to Stochastic Programming (2nd ed.). Springer. ISBN: 9781461402367 | Bertsimas, 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 |
| Alias | PSIP, scenario-based integer programming, policy-driven IP, scenario integer optimization | RIP, Robust IP, Robust Combinatorial Optimization, Integer Robust Optimization | SIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic Programming |
| Terkait≠ | 2 | 6 | 6 |
| Ringkasan≠ | Policy 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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