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Mathematical and Computational Applications
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Is NSGA-II Ready for Large-Scale Multi-Objective Optimization?

Authors: Antonio J. Nebro; Jesús Galeano-Brajones; Francisco Luna; Carlos A. Coello Coello;

Is NSGA-II Ready for Large-Scale Multi-Objective Optimization?

Abstract

NSGA-II is, by far, the most popular metaheuristic that has been adopted for solving multi-objective optimization problems. However, its most common usage, particularly when dealing with continuous problems, is circumscribed to a standard algorithmic configuration similar to the one described in its seminal paper. In this work, our aim is to show that the performance of NSGA-II, when properly configured, can be significantly improved in the context of large-scale optimization. It leverages a combination of tools for automated algorithmic tuning called irace, and a highly configurable version of NSGA-II available in the jMetal framework. Two scenarios are devised: first, by solving the Zitzler–Deb–Thiele (ZDT) test problems, and second, when dealing with a binary real-world problem of the telecommunications domain. Our experiments reveal that an auto-configured version of NSGA-II can properly address test problems ZDT1 and ZDT2 with up to 217=131,072 decision variables. The same methodology, when applied to the telecommunications problem, shows that significant improvements can be obtained with respect to the original NSGA-II algorithm when solving problems with thousands of bits.

Country
Spain
Keywords

Real-world problems optimization, T57-57.97, Applied mathematics. Quantitative methods, 330, NSGA-II, real-world problems optimization, QA75.5-76.95, large-scale multi-objective optimization, auto-configuration and auto-design of metaheuristics, 004, Computación evolutiva, Optimización matemática, Large-scale multi-objective optimization, Electronic computers. Computer science, NSGA-II; auto-configuration and auto-design of metaheuristics; large-scale multi-objective optimization; real-world problems optimization, Programación heurística, QA1-939, Auto-configuration and auto-design of metaheuristics, Algoritmos genéticos, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Top 10%
Top 10%
Top 10%
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