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2014 | OriginalPaper | Buchkapitel

15. Multi-objective Optimization

verfasst von : Kalyanmoy Deb, Kalyanmoy Deb

Erschienen in: Search Methodologies

Verlag: Springer US

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Abstract

Multi-objective optimization is an integral part of optimization activities and has a tremendous practical importance, since almost all real-world optimization problems are ideally suited to be modeled using multiple conflicting objectives. The classical means of solving such problems were primarily focused on scalarizing multiple objectives into a single objective, whereas the evolutionary means have been to solve a multi-objective optimization problem as it is. In this chapter, we discuss the fundamental principles of multi-objective optimization, the differences between multi-objective optimization and single-objective optimization, and describe a few well-known classical and evolutionary algorithms for multi-objective optimization. Two application case studies reveal the importance of multi-objective optimization in practice. A number of research challenges are then highlighted. The chapter concludes by suggesting a few tricks of the trade and mentioning some key resources to the field of multi-objective optimization.

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Zurück zum Zitat Zitzler E, Künzli S (2004) Indicator-based selection in multiobjective search. In: Proceedings of the PPSN VIII, Birmingham. LNCS 3242. Springer, Berlin, pp 832–842 Zitzler E, Künzli S (2004) Indicator-based selection in multiobjective search. In: Proceedings of the PPSN VIII, Birmingham. LNCS 3242. Springer, Berlin, pp 832–842
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Zurück zum Zitat Zitzler E, Laumanns M, Thiele L (2001b) SPEA2: improving the strength Pareto evolutionary algorithm for multiobjective optimization. In: Giannakoglou KC, Tsahalis DT, Périaux J, Papailiou KD, Fogarty T (eds) Evolutionary methods for design optimization and control with applications to industrial problems, Athens. International Center for Numerical Methods in Engineering (CIMNE), pp 95–100 Zitzler E, Laumanns M, Thiele L (2001b) SPEA2: improving the strength Pareto evolutionary algorithm for multiobjective optimization. In: Giannakoglou KC, Tsahalis DT, Périaux J, Papailiou KD, Fogarty T (eds) Evolutionary methods for design optimization and control with applications to industrial problems, Athens. International Center for Numerical Methods in Engineering (CIMNE), pp 95–100
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Metadaten
Titel
Multi-objective Optimization
verfasst von
Kalyanmoy Deb
Kalyanmoy Deb
Copyright-Jahr
2014
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4614-6940-7_15