alexa A Possibilistic Programming Approach for Vehicle Routin
ISSN: 2169-0316

Industrial Engineering & Management
Open Access

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Research Article

A Possibilistic Programming Approach for Vehicle Routing Problem with Fuzzy Fleet Capacity (FCVRP)

Seyed Mohammad Seyedhosseini1*, Shima Kabirian1, Ahmad Makui1 and Nooraddin Dabiri2

1Department of Industrial Engineering, Iran University of Science and Technology, Narmak, Tehran, Iran

2Department of Industrial Engineering, Faculty of Engineering, Golestan University, Golestan, Iran

*Corresponding Author:
Seyed Mohammad Seyedhosseini
Department of Industrial Engineering
Iran University of Science and Technology
Narmak, Tehran, Iran
Tel: +98 9121261744
Fax: +98 21 77240482
E-mail: [email protected]

Received February 03, 2012; Accepted April 27, 2012; Published April 30, 2012

Citation: Seyedhosseini SM, Kabirian S, Makui A, Dabiri N (2012) A Possibilistic Programming Approach for Vehicle Routing Problem with Fuzzy Fleet Capacity (FCVRP). Ind Eng Manage 2:101. doi:10.4172/2169-0316.1000101

Copyright: © 2012 Seyedhosseini SM, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

In this paper we present the vehicle routing problem with fuzzy fleet capacity (FCVRP) to find short routes with the minimal transportation cost. We propose a possibilistic 0-1 linear programming model to deal with such issues. To solve the proposed possibilistic optimization model, we apply an efficient possibilistic method proposed by Parra et al. [1] The FCVRP is NP-hard, which means that an efficient algorithm for solving the problem to optimality is unavailable. To deal with the problem efficiently, we develop a hybrid genetic algorithm (HGA). For the model verification, some small, medium and large-scale test problems are solved by HGA and the results are compared with obtained results from Lingo 9.0. Finally, we do a case study in the Kalleh Company in Amol and publish the results.

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