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Solving Medium to Large Sized Euclidean Generalized Minimum Spanning Tree Problems

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Ghosh Diptesh

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Abstract

The generalized minimum spanning tree problem is a generalization of the minimum spanning tree problem. This network design problems finds several practical applications, especially when one considers the design of a large-capacity backbone network connecting several individual networks. In this paper we study the performance of six neighborhood search heuristics based on tabu search and variable neighborhood search on this problem domain. Our principal finding is that a tabu search heuristic almost always provides the best quality solution for small to medium sized instances within short execution times while variable neighborhood decomposition search provides the best quality solutions for most large instances.

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Paper provided by Indian Institute of Management Ahmedabad, Research and Publication Department in its series IIMA Working Papers with number 2003-08-02.

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Length: 15
Date of creation: 13 Aug 2003
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Handle: RePEc:iim:iimawp:2003-08-02

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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. [Downloadable!] (restricted)
  2. Feremans, Corinne & Labbe, Martine & Laporte, Gilbert, 2003. "Generalized network design problems," European Journal of Operational Research, Elsevier, vol. 148(1), pages 1-13, July. [Downloadable!] (restricted)
  3. Dror, M. & Haouari, M. & Chaouachi, J., 2000. "Generalized spanning trees," European Journal of Operational Research, Elsevier, vol. 120(3), pages 583-592, February. [Downloadable!] (restricted)
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