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贝叶斯线性规划×多目标线性规划 (MOLP)×
领域仿真仿真
方法族Process / pipelineProcess / pipeline
起源年份1970s–1980s1955–1986
提出者Integrated from Dantzig (LP) and Zellner/Bayesian econometrics traditionsSteuer, R. E.; Charnes, A.; Cooper, W. W.
类型Optimization under Bayesian uncertaintyMathematical optimization / vector optimization
开创性文献Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press, Princeton, NJ. ISBN: 9780691059136Steuer, R. E. (1986). Multiple Criteria Optimization: Theory, Computation, and Application. John Wiley & Sons, New York. ISBN: 9780471888468
别名BLP, Bayesian LP, Bayesian stochastic linear programming, prior-posterior LPMOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector Optimization
相关63
摘要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.Multi-Objective Linear Programming (MOLP) extends classical linear programming to handle several conflicting linear objective functions simultaneously over a feasible region defined by linear constraints. Instead of a single optimal solution, MOLP produces a Pareto-efficient frontier from which a decision-maker selects a preferred trade-off. It is foundational to operations research and management science for resource allocation, planning, and design problems with competing goals.
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  3. PUBLISHED

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ScholarGate方法对比: Bayesian Linear Programming · Multi-objective linear programming. 于 2026-06-15 检索自 https://scholargate.app/zh/compare