Balanced centroids (BC) k-means clustering algorithm to transform MTSP to TSP. (2nd November 2010)

• Record Type: Journal Article
• Authors: Venkateswara Reddy, P.; Kumar, A.C.S.; Bhat, M.S.; Dhanalakshmi, R.; , P. Parthiban
• Is Part Of: International journal of logistics, economics and globalisation. Volume 2:Number 3(2010)
• Page Start: 187
• Page End: 197
• Publication Date: 2010-11-02
• Subjects: multiple travelling salesperson -- k-means -- clustering algorithms -- balanced centroids -- tours -- Euclidean mTSP -- iterations -- logistics management -- economics; Logistics -- Periodicals; Logistics -- Economic aspects -- Periodicals; Globalization -- Periodicals; 658.505
• Languages: English
• ISSNs: 1741-5373

Abstract

Solving a multiple travelling salesperson (mTSP) is more difficult than solving a travelling salesperson. Although the TSP has received a great deal of attention, the research on the mTSP is limited. In the mTSP, the N cities must be partitioned into m tours, with each tour resulting in a TSP for one salesperson. The purpose of this paper is to review in brief the existing literature on the mTSP and to transform the most 'NP complete' problem to an ordinary TSP. We propose a technique to transform mTSP to TSP using BC k-means clustering. The methodology we mentioned here will be suitable for any type of Euclidean mTSP. The result shows that the number of iterations (NI) required to get the solution are less in BC k-means clustering in most of the cases.