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Mathematical Problems in Engineering
Volume 2016, Article ID 9071394, 10 pages
http://dx.doi.org/10.1155/2016/9071394
Research Article

Vehicle Coordinated Strategy for Vehicle Routing Problem with Fuzzy Demands

1School of Management, Hunan University of Commerce, Changsha 410205, China
2Mobile E-Business Collaborative Innovation Center of Hunan Province, Hunan University of Commerce, Changsha 410205, China
3Key Laboratory of Hunan Province for Mobile Business Intelligence, Hunan University of Commerce, Changsha 410205, China
4Institute of Big Data and Internet Innovation, Hunan University of Commerce, Changsha 410205, China
5School of Business Administration, Southwestern University of Finance and Economics, Chengdu 611130, China

Received 24 December 2015; Accepted 8 August 2016

Academic Editor: Thomas Hanne

Copyright © 2016 Chang-shi Liu 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.

Abstract

The vehicle routing problem with fuzzy demands (VRPFD) is considered. A fuzzy reasoning constrained program model is formulated for VRPFD, and a hybrid ant colony algorithm is proposed to minimize total travel distance. Specifically, the two-vehicle-paired loop coordinated strategy is presented to reduce the additional distance, unloading times, and waste capacity caused by the service failure due to the uncertain demands. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed approaches.