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Polynomial formulation and heuristic based approach for the k-travelling repairman problem

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  • Imen Ome Ezzine
  • Sonda Elloumi

Abstract

In this paper, we propose a polynomial linear integer formulation for the k-travelling repairman problem (k-TRP) and a heuristic method. The latter is a k-means clustering algorithm used to efficiently assigning of customers to k groups. Two versions of k-means algorithm are tested: the k-means in its original version and the balanced k-means, which we propose in this context. After clustering, an optimised route is generated by a polynomial linear integer formulation for each customer in his allotted cluster. Computational results prove the efficiency of the proposed approach, especially when the balanced k-means algorithm is applied.

Suggested Citation

  • Imen Ome Ezzine & Sonda Elloumi, 2012. "Polynomial formulation and heuristic based approach for the k-travelling repairman problem," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(5), pages 503-514.
    • Handle: RePEc:ids:ijmore:v:4:y:2012:i:5:p:503-514
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    Cited by:

    1. David A. Flores-Garza & M. Angélica Salazar-Aguilar & Sandra Ulrich Ngueveu & Gilbert Laporte, 2017. "The multi-vehicle cumulative covering tour problem," Annals of Operations Research, Springer, vol. 258(2), pages 761-780, November.
    2. F. Angel-Bello & Y. Cardona-Valdés & A. Álvarez, 2019. "Mixed integer formulations for the multiple minimum latency problem," Operational Research, Springer, vol. 19(2), pages 369-398, June.

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