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A 3/2-Approximation Algorithm for Multiple Depot Multiple Traveling Salesman Problem

(Extended Abstract)
  • Zhou Xu
  • Brian Rodrigues
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6139)

Abstract

As an important extension of the classical traveling salesman problem (TSP), the multiple depot multiple traveling salesman problem (MDMTSP) is to minimize the total length of a collection of tours for multiple vehicles to serve all the customers, where each vehicle must start or stay at its distinct depot. Due to the gap between the existing best approximation ratios for the TSP and for the MDMTSP in literature, which are 3/2 and 2, respectively, it is an open question whether or not a 3/2-approximation algorithm exists for the MDMTSP. We have partially addressed this question by developing a 3/2-approximation algorithm, which runs in polynomial time when the number of depots is a constant.

Keywords

Approximation algorithm multiple depots vehicle routing 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Zhou Xu
    • 1
  • Brian Rodrigues
    • 2
  1. 1.Faculty of BusinessThe Hong Kong Polytechnic University 
  2. 2.Lee Kong Chian School of BusinessSingapore Management University 

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