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Quick Evaluation of the Efficient Solution Set for the Biobjective Knapsack Problem

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Multiple Criteria Decision Making in the New Millennium

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 507))

Abstract

Multiobjective combinatorial optimization problems are important tools for modeling real world decision problems. It is well known that they are very difficult to solve, therefore approximation of efficient solutions can contribute to obtaining overview solutions quickly. We consider the 0-1 knapsack problem with two objectives and we underline the problem difficulties. We propose a preprocessing using some properties to reduce the decision space with a simple local search-based method. Finally, we report and analyse numerical experiments.

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© 2001 Springer-Verlag Berlin Heidelberg

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Gandibleux, X. (2001). Quick Evaluation of the Efficient Solution Set for the Biobjective Knapsack Problem. In: Köksalan, M., Zionts, S. (eds) Multiple Criteria Decision Making in the New Millennium. Lecture Notes in Economics and Mathematical Systems, vol 507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56680-6_23

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  • DOI: https://doi.org/10.1007/978-3-642-56680-6_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42377-5

  • Online ISBN: 978-3-642-56680-6

  • eBook Packages: Springer Book Archive

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