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A Practical Efficient Fptas for the 0-1 Multi-objective Knapsack Problem

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4698))

Abstract

In the present work, we are interested in the practical behavior of a new fptas to solve the approximation version of the 0-1 multi-objective knapsack problem. Nevertheless, our methodology focuses on very general techniques (such as dominance relations in dynamic programming) and thus may be applicable in the implementation of fptas for other problems as well. Extensive numerical experiments on various types of instances establish that our method performs very well both in terms of CPU time and size of solved instances. We point out some reasons for the good practical performance of our algorithm. A comparison with an exact method is also performed.

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Lars Arge Michael Hoffmann Emo Welzl

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© 2007 Springer-Verlag Berlin Heidelberg

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Bazgan, C., Hugot, H., Vanderpooten, D. (2007). A Practical Efficient Fptas for the 0-1 Multi-objective Knapsack Problem. In: Arge, L., Hoffmann, M., Welzl, E. (eds) Algorithms – ESA 2007. ESA 2007. Lecture Notes in Computer Science, vol 4698. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75520-3_63

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  • DOI: https://doi.org/10.1007/978-3-540-75520-3_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75519-7

  • Online ISBN: 978-3-540-75520-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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