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Mathematical Problems in Engineering
Volume 2014, Article ID 152494, 13 pages
Research Article

A Framing Link Based Tabu Search Algorithm for Large-Scale Multidepot Vehicle Routing Problems

1College of Management and Economics, Tianjin University, Tianjin 300072, China
2Department of Production and Quality Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway
3School of Management, Hebei University of Technology, Tianjin 300401, China

Received 21 April 2014; Accepted 29 June 2014; Published 23 July 2014

Academic Editor: Baozhen Yao

Copyright © 2014 Xuhao Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A framing link (FL) based tabu search algorithm is proposed in this paper for a large-scale multidepot vehicle routing problem (LSMDVRP). Framing links are generated during continuous great optimization of current solutions and then taken as skeletons so as to improve optimal seeking ability, speed up the process of optimization, and obtain better results. Based on the comparison between pre- and postmutation routes in the current solution, different parts are extracted. In the current optimization period, links involved in the optimal solution are regarded as candidates to the FL base. Multiple optimization periods exist in the whole algorithm, and there are several potential FLs in each period. If the update condition is satisfied, the FL base is updated, new FLs are added into the current route, and the next period starts. Through adjusting the borderline of multidepot sharing area with dynamic parameters, the authors define candidate selection principles for three kinds of customer connections, respectively. Link split and the roulette approach are employed to choose FLs. 18 LSMDVRP instances in three groups are studied and new optimal solution values for nine of them are obtained, with higher computation speed and reliability.