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תכנון דינמי רב-מטרתי×תכנון ליניארי מרובה-מטרות (MOLP)×
תחוםסימולציהסימולציה
משפחהProcess / pipelineProcess / pipeline
שנת המקור1957-19751955–1986
הוגה השיטהExtension of Bellman (1957); formalized by multiple authors from 1970s onwardSteuer, R. E.; Charnes, A.; Cooper, W. W.
סוגExact optimization — recursive multi-objective decompositionMathematical optimization / vector optimization
מקור מכונןBellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516Steuer, R. E. (1986). Multiple Criteria Optimization: Theory, Computation, and Application. John Wiley & Sons, New York. ISBN: 9780471888468
כינוייםMODP, Multi-criteria dynamic programming, Vector dynamic programming, Pareto dynamic programmingMOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector Optimization
קשורות53
תקצירMulti-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.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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ScholarGateהשוואת שיטות: Multi-objective dynamic programming · Multi-objective linear programming. אוחזר בתאריך 2026-06-15 מתוך https://scholargate.app/he/compare