Title: Using a fuzzy approach for a new bi-objective model for a multi-modal tree p-hub median location problem

Authors: Samaneh Sedehzadeh; Reza Tavakkoli-Moghaddam

Addresses: School of Industrial Engineering and Engineering Optimization Research Group, College of Engineering, University of Tehran, P.O. Box: 11155-4563, Tehran, Iran ' School of Industrial Engineering and Engineering Optimization Research Group, College of Engineering, University of Tehran, P.O. Box: 11155-4563, Tehran, Iran

Abstract: One main group of transportation networks is a hub location problem that deals with finding the location of hub nodes and allocation of non-hub nodes to located hubs. This paper presents a capacitated multi-modal p-hub median location problem with a single assignment, in which different transportation modes can be established between hub nodes. This problem makes a decision on how the hub networks with different possible transportation modes should be designed. Moreover, high setup costs for links lead to use incomplete hub network; so we allow the connected hubs by means of a tree and consider a fixed cost for establishing hub links. The objectives of this model are to minimise the total cost and minimise the total transportation time (including the transportation time between nodes and the operation time at hub nodes). As the real values of parameters are not precisely known in advance, a fuzzy approach is proposed to cope with the uncertain parameters. The multi-objective model is also converted into a single objective one by the TH method. Furthermore, some numerical examples are provided to illustrate the correctness of the proposed model. Finally, the conclusion is provided.

Keywords: capacitated hub median location; multi-objective optimisation; transport modes; fuzzy logic; uncertainty; transport networks; transport hub location; multi-modal transport.

DOI: 10.1504/IJFCM.2014.067127

International Journal of Fuzzy Computation and Modelling, 2014 Vol.1 No.2, pp.194 - 211

Received: 23 Nov 2013
Accepted: 08 Jun 2014
Published online: 07 Feb 2015 *

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