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베이즈 선형 계획법×확률적 선형 계획법×
분야시뮬레이션시뮬레이션
계열Process / pipelineProcess / pipeline
기원 연도1970s–1980s1955
창시자Integrated from Dantzig (LP) and Zellner/Bayesian econometrics traditionsGeorge B. Dantzig
유형Optimization under Bayesian uncertaintyStochastic optimization model
원전Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press, Princeton, NJ. ISBN: 9780691059136Dantzig, 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 ↗
별칭BLP, Bayesian LP, Bayesian stochastic linear programming, prior-posterior LPSLP, Stochastic LP, Linear Programming under Uncertainty, Two-Stage SLP
관련65
요약Bayesian 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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