Polynomial formulation and heuristic based approach for the k-travelling repairman problem
by Imen Ome Ezzine; Sonda Elloumi
International Journal of Mathematics in Operational Research (IJMOR), Vol. 4, No. 5, 2012

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.

Online publication date: Tue, 23-Dec-2014

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