A tutorial on multiobjective optimization: fundamentals and evolutionary methods

Natural Computing
Michael T M Emmerich, André H Deutz

Abstract

In almost no other field of computer science, the idea of using bio-inspired search paradigms has been so useful as in solving multiobjective optimization problems. The idea of using a population of search agents that collectively approximate the Pareto front resonates well with processes in natural evolution, immune systems, and swarm intelligence. Methods such as NSGA-II, SPEA2, SMS-EMOA, MOPSO, and MOEA/D became standard solvers when it comes to solving multiobjective optimization problems. This tutorial will review some of the most important fundamentals in multiobjective optimization and then introduce representative algorithms, illustrate their working principles, and discuss their application scope. In addition, the tutorial will discuss statistical performance assessment. Finally, it highlights recent important trends and closely related research fields. The tutorial is intended for readers, who want to acquire basic knowledge on the mathematical foundations of multiobjective optimization and state-of-the-art methods in evolutionary multiobjective optimization. The aim is to provide a starting point for researching in this active area, and it should also help the advanced reader to identify open research topics.

References

Jun 8, 2000·Evolutionary Computation·J D Knowles, D W Corne
Jul 24, 2010·Evolutionary Computation·Johannes Bader, Eckart Zitzler
Nov 23, 2011·Proceedings of the National Academy of Sciences of the United States of America·Frank SterckLourens Poorter
Jun 1, 2012·Journal of Chemical Information and Modeling·Eelke van der HorstAdriaan P Ijzerman

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Citations

Sep 30, 2020·FEMS Microbiology Reviews·Michiel KleerebezemOscar van Mastrigt
Dec 29, 2020·PLoS Computational Biology·Otto I PulkkinenTero Aittokallio
Jan 27, 2021·Medical & Biological Engineering & Computing·Indra Hardian MulyadiEko Supriyanto
Nov 10, 2020·Multimedia Tools and Applications·Sourabh KatochVijay Kumar
Sep 4, 2020·International Journal of Computer Assisted Radiology and Surgery·Libin LiangAaron Fenster
Dec 19, 2020·Surgery·Meghan BrennanPatrick J Tighe
Jan 18, 2022·Briefings in Bioinformatics·Yong LuGuangxu Jin
Jun 29, 2020··Volker NissenJulian Schulte

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Methods Mentioned

BETA
PISA

Software Mentioned

MOEAs
MOEA
JMetal
MO
EMOA
EVOLVE
GECCO
EASY
VEGA
SMS

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