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| Bayes' lineaarplaneerimine× | Stokastiline lineaarne programmeerimine× | |
|---|---|---|
| Valdkond | Simulatsioon | Simulatsioon |
| Perekond | Process / pipeline | Process / pipeline |
| Tekkeaasta≠ | 1970s–1980s | 1955 |
| Looja≠ | Integrated from Dantzig (LP) and Zellner/Bayesian econometrics traditions | George B. Dantzig |
| Tüüp≠ | Optimization under Bayesian uncertainty | Stochastic optimization model |
| Algallikas≠ | Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press, Princeton, NJ. ISBN: 9780691059136 | Dantzig, G. B., & Madansky, A. (1961). On the solution of two-stage linear programs under uncertainty. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, 1, 165–176. link ↗ |
| Rööpnimetused | BLP, Bayesian LP, Bayesian stochastic linear programming, prior-posterior LP | SLP, Stochastic LP, Linear Programming under Uncertainty, Two-Stage SLP |
| Seotud≠ | 6 | 5 |
| Kokkuvõte≠ | Bayesian Linear Programming (BLP) integrates Bayesian statistical inference with classical linear programming to handle uncertainty in model parameters such as objective function coefficients, constraint coefficients, or right-hand-side values. Instead of treating parameters as fixed or governed by worst-case bounds, BLP uses prior beliefs updated by data to form posterior distributions, which then guide the LP formulation and solution, producing decisions that are optimal in a probabilistic, data-informed sense. | Stochastic Linear Programming (SLP) extends classical linear programming to settings where some model parameters — costs, demands, resource availability — are uncertain and modeled as random variables. By optimizing expected costs over a probability distribution of scenarios, SLP produces decisions that remain feasible and near-optimal across a range of possible futures rather than for a single assumed state of the world. |
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