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Multi-Objective Combinatorial Optimization: Problematic and Context

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Advances in Multi-Objective Nature Inspired Computing

Part of the book series: Studies in Computational Intelligence ((SCI,volume 272))

Summary

The present chapter aims to serve as a brief introduction for the rest of the chapters in this volume. The main goal is to provide a general overview of multi-objective combinatorial optimization, including its main basic definitions and some notions regarding the incorporation of user’s preferences. Additionally, we also present short descriptions of some of the most popular multi-objective evolutionary algorithms in current use. Since performance assessment is a critical task in multi-objective optimization, we also present some performance indicators, as well as some discussion on statistical validation in a multi-objective optimization context. The aim of this chapter is not to be comprehensive, but simply to touch on the main fundamental topics that are required to understand the material that is presented in the rest of the book.

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Authors and Affiliations

  1. Departamento de Computación, CINVESTAV-IPN, Av. IPN No. 2508, Col. San Pedro Zacatenco, México, D.F., 07300, Mexico

    Carlos A. Coello Coello

  2. Laboratoire d’Informatique Fondamentale de Lille (LIFL), UMR CNRS 8022, Université Lille 1, Bâtiment M3, 59655, Villeneuve d’Ascq cedex, France

    Clarisse Dhaenens & Laetitia Jourdan

  3. Parc Scientifique de la Haute Borne, INRIA Lille-Nord Europe, 40 avenue Halley, 59650, Villeneuve d’Ascq, France

    Clarisse Dhaenens & Laetitia Jourdan

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  1. Carlos A. Coello Coello
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  2. Clarisse Dhaenens
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  3. Laetitia Jourdan
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Editors and Affiliations

  1. Depto. de Computación, CINVESTAV-IPN, Av. IPN No. 2508, Col. San Pedro Zacatenco, 07300, México, D.F., Mexico

    Carlos A. Coello Coello

  2. Parc scientifique de la Haute-Borne, LIFL/CNRS/Polytech’Lille/INRIA, Bâtiment A, Park Plaza, 40,Avenue Halley, 59650, Villeneuve d’Ascq, France

    Clarisse Dhaenens

  3. Parc scientifique de la Haute-Borne, INRIA/LIFL/CNRS, Bâtiment A, Park Plaza, 40, Avenue Halley, 59650, Villeneuve d’Ascq, France

    Laetitia Jourdan

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Coello Coello, C.A., Dhaenens, C., Jourdan, L. (2010). Multi-Objective Combinatorial Optimization: Problematic and Context. In: Coello Coello, C.A., Dhaenens, C., Jourdan, L. (eds) Advances in Multi-Objective Nature Inspired Computing. Studies in Computational Intelligence, vol 272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11218-8_1

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