A branch and cut algorithm for the location-routing problem with simultaneous pickup and delivery


KARAOĞLAN İ., ALTIPARMAK BAYKOÇ F. , KARA İ., DENGİZ B.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, vol.211, no.2, pp.318-332, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 211 Issue: 2
  • Publication Date: 2011
  • Doi Number: 10.1016/j.ejor.2011.01.003
  • Title of Journal : EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
  • Page Numbers: pp.318-332

Abstract

This paper addresses a location-routing problem with simultaneous pickup and delivery (LRPSPD) which is a general case of the location-routing problem. The LRPSPD is defined as finding locations of the depots and designing vehicle routes in such a way that pickup and delivery demands of each customer must be performed with same vehicle and the overall cost is minimized. We propose an effective branch-and-cut algorithm for solving the LRPSPD. The proposed algorithm implements several valid inequalities adapted from the literature for the problem and a local search based on simulated annealing algorithm to obtain upper bounds. Computational results, for a large number of instances derived from the literature, show that some instances with up to 88 customers and 8 potential depots can be solved in a reasonable computation time. (C) 2011 Elsevier B.V. All rights reserved.