Authors
Chao Bian, Chao Qian
Publication date
2022/8/15
Book
International Conference on Parallel Problem Solving from Nature
Pages
428-441
Publisher
Springer International Publishing
Description
Evolutionary algorithms (EAs) have been widely used to solve multi-objective optimization problems, and have become the most popular tool. However, the theoretical foundation of multi-objective EAs (MOEAs), especially the essential theoretical aspect, i.e., running time analysis, is still largely underdeveloped. The few existing theoretical works mainly considered simple MOEAs, while the non-dominated sorting genetic algorithm II (NSGA-II), probably the most influential MOEA, has not been analyzed except for a very recent work considering a simplified variant without crossover. In this paper, we present a running time analysis of the standard NSGA-II for solving LOTZ, the commonly used bi-objective optimization problem. Specifically, we prove that the expected running time (i.e., number of fitness evaluations) is for LOTZ, which is the same as that of the previously analyzed simple MOEAs, GSEMO and SEMO …
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