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  4. Exact algorithms for multiobjective linear optimization problems with integer variables: A state of the art survey
 
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2022
Journal Article
Title

Exact algorithms for multiobjective linear optimization problems with integer variables: A state of the art survey

Abstract
We provide a comprehensive overview of the literature of algorithmic approaches for multiobjective mixed-integer and integer linear optimization problems. More precisely, we categorize and display exact methods for multiobjective linear problems with integer variables for computing the entire set of nondominated images. Our review lists 108 articles and is intended to serve as a reference for all researchers who are familiar with basic concepts of multiobjective optimization and who have an interest in getting a thorough view on the state-of-the-art in multiobjective mixed-integer programming.
Author(s)
Halffmann, Pascal
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Schäfer, Luca E.
Technische Universität Kaiserslautern  
Dächert, Kerstin
Hochschule für Technik und Wirtschaft Dresden  
Klamroth, Kathrin
Bergische Universität Wuppertal
Ruzika, Stefan
Technische Universität Kaiserslautern  
Journal
Journal of multi-criteria decision analysis  
Open Access
DOI
10.1002/mcda.1780
Additional link
Full text
Language
English
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Keyword(s)
  • algorithms

  • integer

  • literature overview

  • multiobjective optimization

  • integer linear optimization problems

  • multiobjective mixed-integer

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