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A Probabilistic Tabu Search Algorithm for the Generalized Minimum Spanning Tree Problem

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  • Ghosh, Diptesh

Abstract

In this paper we present a probabilistic tabu search algorithm for the generalized minimum spanning tree problem. The basic idea behind the algorithm is to use preprocessing operations to arrive at a probability value for each vertex which roughly corresponds to its probability of being included in an optimal solution, and to use such probability values to shrink the size of the neighborhood of solutions to manageable proportions. We report results from computational experiments that demonstrate the superiority of this method over the generic tabu search method.

Suggested Citation

  • Ghosh, Diptesh, 2003. "A Probabilistic Tabu Search Algorithm for the Generalized Minimum Spanning Tree Problem," IIMA Working Papers WP2003-07-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:wp01501
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    File URL: https://www.iima.ac.in/sites/default/files/rnpfiles/2003-07-02DipteshGhosh.pdf
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    References listed on IDEAS

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    1. Feremans, Corinne & Labbe, Martine & Laporte, Gilbert, 2001. "On generalized minimum spanning trees," European Journal of Operational Research, Elsevier, vol. 134(2), pages 457-458, October.
    2. Dror, M. & Haouari, M. & Chaouachi, J., 2000. "Generalized spanning trees," European Journal of Operational Research, Elsevier, vol. 120(3), pages 583-592, February.
    3. Feremans, Corinne & Labbe, Martine & Laporte, Gilbert, 2003. "Generalized network design problems," European Journal of Operational Research, Elsevier, vol. 148(1), pages 1-13, July.
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    Cited by:

    1. Nermin Elif Kurt & H. Bahadir Sahin & Kurc{s}ad Derinkuyu, 2018. "An Adaptive Tabu Search Algorithm for Market Clearing Problem in Turkish Day-Ahead Market," Papers 1809.10554, arXiv.org.

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