Multi-Objective Optimization Using Evolutionary AlgorithmsWiley, 05.07.2001 - 497 Seiten Evolutionary algorithms are relatively new, but very powerful techniques used to find solutions to many real-world search and optimization problems. Many of these problems have multiple objectives, which leads to the need to obtain a set of optimal solutions, known as effective solutions. It has been found that using evolutionary algorithms is a highly effective way of finding multiple effective solutions in a single simulation run.
The integrated presentation of theory, algorithms and examples will benefit those working and researching in the areas of optimization, optimal design and evolutionary computing. This text provides an excellent introduction to the use of evolutionary algorithms in multi-objective optimization, allowing use as a graduate course text or for self-study. |
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Seite 16
... nonconvex in an interval , the Hessian matrix -V is checked for its positive - definiteness . If it is positive - definite , the function f is nonconvex . It is interesting to realize that if a function g ( x ) is nonconvex , the set of ...
... nonconvex in an interval , the Hessian matrix -V is checked for its positive - definiteness . If it is positive - definite , the function f is nonconvex . It is interesting to realize that if a function g ( x ) is nonconvex , the set of ...
Seite 53
... Nonconvex Problems The above weighted sum approach cannot find certain Pareto - optimal solutions in the case of a nonconvex objective space . Figure 21 explains this scenario . When a weight vector is chosen such that a contour line ...
... Nonconvex Problems The above weighted sum approach cannot find certain Pareto - optimal solutions in the case of a nonconvex objective space . Figure 21 explains this scenario . When a weight vector is chosen such that a contour line ...
Seite 495
... nonconvex function , 16 , 168 nonconvex problem , 55 nonconvex set , 180 , 450 nonlinear programming problem , 81 normalization , 48 , 182 normally distributed mutation , 119 NPGA , 208 , 269 , 362 NSAGA , 270 Loc - NSGA , 283 , 362 ...
... nonconvex function , 16 , 168 nonconvex problem , 55 nonconvex set , 180 , 450 nonlinear programming problem , 81 normalization , 48 , 182 normally distributed mutation , 119 NPGA , 208 , 269 , 362 NSAGA , 270 Loc - NSGA , 283 , 362 ...
Inhalt
Prologue | 1 |
ParetoOptimality | 32 |
Classical Methods | 48 |
Urheberrecht | |
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Andere Ausgaben - Alle anzeigen
Multi-Objective Optimization using Evolutionary Algorithms Kalyanmoy Deb Eingeschränkte Leseprobe - 2001 |
MULTI-OBJECTIVE OPTIMIZATION USING EVOLUTIONARY ALGORITHMS Kalyanmoy Deb Keine Leseprobe verfügbar - 2010 |
Multi-Objective Optimization Using Evolutionary Algorithms Kalyanmoy Deb Keine Leseprobe verfügbar - 2009 |
Häufige Begriffe und Wortgruppen
best non-dominated better calculated choose chosen constraint violation convergence convex corresponding created crossover operator decision variable space discussed distance distribution diversity dominated solutions elite elitist equation Euclidean distance evaluated evolution strategy evolutionary algorithms Evolutionary Computation f₁ feasible solution fitness values genetic algorithm genetic operations goal programming goal programming problem hypercube infeasible solutions local search mating pool maximum metric Minimize minimum MOEA multi-objective optimization problem mutation operator niche count non-dominated front non-dominated set nonconvex NPGA NSGA NSGA-II number of solutions objective function values objective space obtained non-dominated solutions obtained solutions offspring population optimal solutions optimum Oshare parameter parent solutions Pareto Pareto-optimal region Pareto-optimal set Pareto-optimal solutions performed population members procedure random real-parameter schema search space selection operator set of solutions shown in Figure shows simulation solving SPEA Step strategy string subpopulation suggested technique test problems tournament selection trade-off solutions true Pareto-optimal front w₁ WBGA weight vector
Verweise auf dieses Buch
Data Mining and Knowledge Discovery with Evolutionary Algorithms Alex A. Freitas Eingeschränkte Leseprobe - 2002 |