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Multi-objective Optimization - UCCS

IntroductionPareto-Optimal SolutionsEvolution of Multi-objective GAApproaches to Multi-objective GAMulti-objective OptimizationJugal K. KalitaUniversity of Colorado, Colorado Springs, USAM ulti-objective OptimizationIntroductionPareto-Optimal SolutionsEvolution of Multi-objective GAApproaches to Multi-objective GASingle vs. Multi-objective OptimizationSingle vs. Multi-objective OptimizationISingle Objective Optimization :When an optimizationproblem involves only one objective function, the task offinding the optimal solution is called :Find a CAR for me with Minimum Optimization :When an optimizationproblem involves more than one objective function, thetask of finding one or more optimal solutions is known asmulti-objective :Find a CAR for me with minimum cost andmaximum of Colorado, Colorado Springs, USAM ulti-objective OptimizationIntroductionPareto-Optimal SolutionsEvolution of Multi-objective GAApproaches to Multi-objective GAMulti-objective Optimization : IntroductionMulti-objective ProblemsIProblems with more than one objective function, typicallyconflicting objectivesICars Example: Maximize luxury vs.

Multi-objective Optimization I Multi-objective optimization (MOO) is the optimization of conflicting objectives. I In some problems, it is possible to find a way of combining the objectives into a single objective. I But, in some other problems, it is not possible to do so. I Sometimes the differences are qualitative and the relative

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