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多目标动态规划×随机动态规划×
领域仿真仿真
方法族Process / pipelineProcess / pipeline
起源年份1957-19751957
提出者Extension of Bellman (1957); formalized by multiple authors from 1970s onwardBellman, R.; formalized for stochastic settings by Puterman, M. L.
类型Exact optimization — recursive multi-objective decompositionSequential optimization under uncertainty
开创性文献Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093
别名MODP, Multi-criteria dynamic programming, Vector dynamic programming, Pareto dynamic programmingSDP, Markov Decision Process, MDP, Stochastic DP
相关56
摘要Multi-Objective Dynamic Programming (MODP) extends Bellman's classical dynamic programming to settings where a decision-maker must optimize several competing objectives simultaneously across a sequence of stages. Rather than a single optimal policy, it produces a Pareto-optimal set of policies — each representing a distinct trade-off profile — by propagating vector-valued value functions backward through the state space.Stochastic Dynamic Programming (SDP) is a mathematical optimization framework for sequential decision problems where outcomes are partly random. It extends Bellman's principle of optimality to stochastic environments, representing problems as Markov Decision Processes (MDPs) and computing optimal policies by solving recursive value equations over states and time periods.
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  1. v1
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  3. PUBLISHED

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