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Mehrzieloptimierung – Gleichzeitige Optimierung widerstreitender Ziele×Genetischer Algorithmus×Mixed-Integer Programming×
FachgebietSimulationOptimierungSimulation
FamilieProcess / pipelineProcess / pipelineProcess / pipeline
Entstehungsjahr1896 (concept); 1989–2002 (evolutionary algorithms era)19751958–1960
UrheberVilfredo Pareto (concept); modern computational formulation by Goldberg and Deb et al.John Henry HollandRalph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
TypOptimization frameworkPopulation-based metaheuristicMathematical optimization
Wegweisende QuelleDeb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 9780471873396Holland, J.H. (1975). Adaptation in Natural and Artificial Systems. University of Michigan Press. link ↗Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
AliasnamenMOO, Multi-Criteria Optimization, Vector Optimization, Pareto OptimizationGA, evolutionary algorithm, Genetik Algoritma — Evrimsel OptimizasyonMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
Verwandt356
ZusammenfassungMulti-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.A genetic algorithm (GA) is a population-based metaheuristic optimization method introduced by John Henry Holland (1975) that mimics the principles of natural selection. It maintains a population of candidate solutions and iteratively improves them through selection, crossover, and mutation operators, making it especially powerful on discontinuous, non-convex, and multi-modal search spaces where classical gradient-based methods fail.Mixed-Integer Programming (MIP) is a mathematical optimization framework in which some decision variables must take integer values while others may be continuous. It generalizes linear programming and is widely used in operations research, logistics, scheduling, resource allocation, and engineering design, where indivisibility constraints — such as yes/no decisions or whole-unit quantities — arise naturally.
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ScholarGateMethoden vergleichen: Multi-Objective Optimization · Genetic Algorithm · Mixed-Integer Programming. Abgerufen am 2026-06-15 von https://scholargate.app/de/compare