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Pengaturcaraan Linear Bayesian×Pengaturcaraan Integer Campuran Bayesian×
BidangSimulasiSimulasi
KeluargaProcess / pipelineProcess / pipeline
Tahun asal1970s–1980s2018 (surrogate-BO-MIP synthesis); MIP foundations 1958
PengasasIntegrated from Dantzig (LP) and Zellner/Bayesian econometrics traditionsBaptista, R. & Poloczek, M. (formal Bayesian-BO-MIP formulation); mixed-integer programming roots in Gomory (1958)
JenisOptimization under Bayesian uncertaintySurrogate-assisted combinatorial optimization
Sumber perintisDantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press, Princeton, NJ. ISBN: 9780691059136Baptista, R., Poloczek, M. (2018). Bayesian Optimization of Combinatorial Structures. Proceedings of the 35th International Conference on Machine Learning (ICML), PMLR 80:462–471. link ↗
AliasBLP, Bayesian LP, Bayesian stochastic linear programming, prior-posterior LPBayesian MIP, BO-MIP, Bayesian Combinatorial Optimization, Mixed-Integer Bayesian Optimization
Berkaitan65
RingkasanBayesian 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.Bayesian Mixed-Integer Programming (BO-MIP) couples a probabilistic surrogate model — typically a Gaussian process — with a mixed-integer programming solver to efficiently optimize expensive black-box objectives defined over spaces that contain both continuous and discrete or integer-valued decision variables. It is especially valuable when each function evaluation is costly and exhaustive search is infeasible.
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ScholarGateBandingkan kaedah: Bayesian Linear Programming · Bayesian Mixed-Integer Programming. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare