A Bi-Objective Approach for Hub Location under Installing Cost Related to Urban Continuous Coordinates

Document Type : Research Paper

Authors

1 PhD. Candidate, Department of Industrial Engineering, University of PayameNoor, Tehran, Iran

2 Associate Professor, Department of Industrial Engineering, University of Booali, Hamedan, Iran

3 Assistant Professor, Department of Industrial Engineering, University of PayameNoor, Tehran, Iran

Abstract

The hub location is one of the most challenging subject in urban transportation issue that plays an essential role in decreasing both urban traffic and transportation costs. Since there is a cost variance and irregular changes among different places in a metropolis, transportation mangers must to choose one of two conflicting options: installing hubs on central place of a metropolis that leads into more expensive setup cost, less access time to other nodes, and probably more expensive outer shipment cost and vice versa. This study presents a bi-objective approach for capacitated planar hub location being composed of two conflicting objective function: the first including installing fix cost, inner and outer shipment cost and the second including summation of inner and outer travel time among nodes. Regarding continuous nature of this problem, a non-dominate solution set, cost and travel time, obtained by presented bi-objective approach thanks to which mangers are able to locate their hub network under installing cost related to urban coordinates in most sufficient manner is one of the most outstanding innovations of this research.  Capacitated hub as well as budget constraint for installing cost are other contributions. To evaluate solutions’ quality, we have used three algorithms, named epsilon-constraint, multi-objective genetic, and multi-objective particle swarms. Comparing pareto solutions to ones obtained through Gams-software in small size; demonstrating pareto solutions with the calculating properties; displaying and analyzing the topologies related to a certain pareto solution are other subject discussed by this research.

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Main Subjects


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