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A survey of recent developments in multiobjective optimization

Altannar Chinchuluun () and Panos Pardalos ()

Annals of Operations Research, 2007, vol. 154, issue 1, 29-50

Abstract: Multiobjective Optimization (MO) has many applications in such fields as the Internet, finance, biomedicine, management science, game theory and engineering. However, solving MO problems is not an easy task. Searching for all Pareto optimal solutions is expensive and a time consuming process because there are usually exponentially large (or infinite) Pareto optimal solutions. Even for simple problems determining whether a point belongs to the Pareto set is $\mathcal{NP}$ -hard. In this paper, we discuss recent developments in MO. These include optimality conditions, applications, global optimization techniques, the new concept of epsilon Pareto optimal solution, and heuristics. Copyright Springer Science+Business Media, LLC 2007

Keywords: Multiobjective optimization; Pareto optimality; Duality; Generalized convexity (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/s10479-007-0186-0

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