方法对比
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| 多目标动态规划× | 多目标线性规划 (MOLP)× | |
|---|---|---|
| 领域 | 仿真 | 仿真 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1957-1975 | 1955–1986 |
| 提出者≠ | Extension of Bellman (1957); formalized by multiple authors from 1970s onward | Steuer, R. E.; Charnes, A.; Cooper, W. W. |
| 类型≠ | Exact optimization — recursive multi-objective decomposition | Mathematical optimization / vector optimization |
| 开创性文献≠ | Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516 | Steuer, R. E. (1986). Multiple Criteria Optimization: Theory, Computation, and Application. John Wiley & Sons, New York. ISBN: 9780471888468 |
| 别名 | MODP, Multi-criteria dynamic programming, Vector dynamic programming, Pareto dynamic programming | MOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector Optimization |
| 相关≠ | 5 | 3 |
| 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. | 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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