Theoretical Basics of Multiobjective Optimization

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Chapter Chapter 11 in Vector Optimization, 2011, pp 281-313 from Springer

Abstract: Abstract This chapter introduces the basic concepts of multiobjective optimization. After the discussion of a simple example from structural engineering in the first section the definitions of several variants of the Edgeworth-Pareto optimality notion are presented: weakly, properly, strongly and essentially Edgeworth-Pareto optimal points. Relationships between these different concepts are investigated and simple examples illustrate these notions. The second section is devoted to the scalarization of multiobjective optimization problems. The weighted sum and the weighted Chebyshev norm approach are investigated in detail.

Keywords: Multiobjective Optimization; Optimal Point; Minimal Element; Minimal Solution; Multiobjective Optimization Problem (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-17005-8_11

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DOI: 10.1007/978-3-642-17005-8_11

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