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| Programowanie liniowe wielokryterialne (MOLP)× | Programowanie liniowe× | Optymalizacja wielocelowa× | |
|---|---|---|---|
| Dziedzina≠ | Symulacja | Optymalizacja | Symulacja |
| Rodzina | Process / pipeline | Process / pipeline | Process / pipeline |
| Rok powstania≠ | 1955–1986 | 1947 | 1896 (concept); 1989–2002 (evolutionary algorithms era) |
| Twórca≠ | Steuer, R. E.; Charnes, A.; Cooper, W. W. | George B. Dantzig | Vilfredo Pareto (concept); modern computational formulation by Goldberg and Deb et al. |
| Typ≠ | Mathematical optimization / vector optimization | Mathematical programming / continuous optimization | Optimization framework |
| Źródło pierwotne≠ | 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 | Deb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 9780471873396 |
| Inne nazwy≠ | MOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector Optimization | LP, linear optimization, Doğrusal Programlama (LP) | MOO, Multi-Criteria Optimization, Vector Optimization, Pareto Optimization |
| Pokrewne≠ | 3 | 4 | 3 |
| Podsumowanie≠ | 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. | Multi-Objective Optimization (MOO) is a mathematical and computational framework for finding solutions that simultaneously optimize two or more conflicting objective functions. Rather than collapsing all goals into a single scalar, MOO produces a set of trade-off solutions — the Pareto front — from which a decision-maker selects according to preference. It is widely used in engineering design, operations research, logistics, economics, and policy analysis. |
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