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Parametric enhancements of the Esau–Williams heuristic for the capacitated minimum spanning tree problem

Author

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  • T Öncan

    (Galatasaray University)

  • İ K Altınel

    (Boǧaziçi University)

Abstract

The Capacitated Minimum Spanning Tree Problem is NP-hard and several heuristic solution methods have been proposed. They can be classified as classical ones and metaheuristics. Recent developments have shown that metaheuristics outperform classical heuristics. However, they require long computation times and there are difficulties in their parameter calibration and coding phases. This explains the popularity of the Esau–Williams (EW) heuristic in practice, and its use in many successful metaheuristics and second-order greedy methods. In this work, we are concerned with the EW heuristic and we propose simple new enhancements. Based on our computational experiments, we can say that they considerably improve its accuracy with minor increase in computation time, and without harming its simplicity.

Suggested Citation

  • T Öncan & İ K Altınel, 2009. "Parametric enhancements of the Esau–Williams heuristic for the capacitated minimum spanning tree problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(2), pages 259-267, February.
    • Handle: RePEc:pal:jorsoc:v:60:y:2009:i:2:d:10.1057_palgrave.jors.2602548
    DOI: 10.1057/palgrave.jors.2602548
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    References listed on IDEAS

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    1. G Bruno & G Laporte, 2002. "A simple enhancement of the Esau–Williams heuristic for the capacitated minimum spanning tree problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 583-586, May.
    2. Leslie Hall, 1996. "Experience with a Cutting Plane Algorithm for the Capacitated Spanning Tree Problem," INFORMS Journal on Computing, INFORMS, vol. 8(3), pages 219-234, August.
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    4. Camerini, P. M. & Galbiati, G. & Maffioli, F., 1980. "Complexity of spanning tree problems: Part I," European Journal of Operational Research, Elsevier, vol. 5(5), pages 346-352, November.
    5. Paessens, H., 1988. "The savings algorithm for the vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 34(3), pages 336-344, March.
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    Cited by:

    1. M. Kritikos & G. Ioannou, 2017. "A greedy heuristic for the capacitated minimum spanning tree problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(10), pages 1223-1235, October.

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