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| 多目的線形計画法（MOLP）× | 線形計画法× | |
|---|---|---|
| 分野≠ | シミュレーション | 最適化 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1955–1986 | 1947 |
| 提唱者≠ | Steuer, R. E.; Charnes, A.; Cooper, W. W. | George B. Dantzig |
| 種類≠ | Mathematical optimization / vector optimization | Mathematical programming / continuous optimization |
| 原典≠ | Steuer, R. E. (1986). Multiple Criteria Optimization: Theory, Computation, and Application. John Wiley & Sons, New York. ISBN: 9780471888468 | Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136 |
| 別名≠ | MOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector Optimization | LP, linear optimization, Doğrusal Programlama (LP) |
| 関連≠ | 3 | 4 |
| 概要≠ | 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. | Linear programming (LP), pioneered by George B. Dantzig in 1947, is a mathematical method for finding the best value of a linear objective function — such as minimum cost or maximum profit — subject to a set of linear inequality and equality constraints. It is the foundational technique in operations research and underlies production planning, resource allocation, logistics, diet problems, and countless other decision-making scenarios across engineering, economics, and the natural sciences. |
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