An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested Systems

This paper presents a bi-objective competitive facility location model for congested systems in which entering facilities will compete with the competitors’ facilities for capturing the market share. In the proposed model, customers can chose which facility to patronize based on the gravity function...

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Main Author: Naeme Zarrinpoor
Format: Article
Language:English
Published: Kharazmi University 2018-08-01
Series:International Journal of Supply and Operations Management
Subjects:
Online Access:http://www.ijsom.com/article_2765_4c8acc9eef355e7cbf0f6b2114e036c4.pdf
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author Naeme Zarrinpoor
author_facet Naeme Zarrinpoor
author_sort Naeme Zarrinpoor
collection DOAJ
description This paper presents a bi-objective competitive facility location model for congested systems in which entering facilities will compete with the competitors’ facilities for capturing the market share. In the proposed model, customers can chose which facility to patronize based on the gravity function that depends on both the quality of service provider and the travel time to facilities. The proposed model attempts to simultaneously maximize the captured demand by each facility and minimize the total waiting times at the system. To solve the model, two multi-objective evolutionary algorithms, involving a multi-objective harmony search algorithm (MOHS) and a non-dominated sorting genetic algorithm-II (NSGA-II), are proposed. The performance of solution procedures are compared in terms of different performance metrics including generational distance, spacing metric, diversification metric, and number of non-dominated solution. Computational results based on different problem sizes show that in general MOHS outperforms NSGA-II.
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spelling doaj.art-860c50e895ad4c02942ed4f16da1aa962022-12-21T23:28:31ZengKharazmi UniversityInternational Journal of Supply and Operations Management2383-13592383-25252018-08-015326628210.22034/2018.3.62765An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested SystemsNaeme Zarrinpoor0Department of Industrial Engineering, Shiraz University of Technology, Shiraz, IranThis paper presents a bi-objective competitive facility location model for congested systems in which entering facilities will compete with the competitors’ facilities for capturing the market share. In the proposed model, customers can chose which facility to patronize based on the gravity function that depends on both the quality of service provider and the travel time to facilities. The proposed model attempts to simultaneously maximize the captured demand by each facility and minimize the total waiting times at the system. To solve the model, two multi-objective evolutionary algorithms, involving a multi-objective harmony search algorithm (MOHS) and a non-dominated sorting genetic algorithm-II (NSGA-II), are proposed. The performance of solution procedures are compared in terms of different performance metrics including generational distance, spacing metric, diversification metric, and number of non-dominated solution. Computational results based on different problem sizes show that in general MOHS outperforms NSGA-II.http://www.ijsom.com/article_2765_4c8acc9eef355e7cbf0f6b2114e036c4.pdfcompetitive facility locationcongested systemgravity functionmulti-objective harmony searchnsga- ii
spellingShingle Naeme Zarrinpoor
An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested Systems
International Journal of Supply and Operations Management
competitive facility location
congested system
gravity function
multi-objective harmony search
nsga- ii
title An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested Systems
title_full An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested Systems
title_fullStr An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested Systems
title_full_unstemmed An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested Systems
title_short An Exploration of Evolutionary Algorithms for a Bi-objective Competitive Facility Location Problem in Congested Systems
title_sort exploration of evolutionary algorithms for a bi objective competitive facility location problem in congested systems
topic competitive facility location
congested system
gravity function
multi-objective harmony search
nsga- ii
url http://www.ijsom.com/article_2765_4c8acc9eef355e7cbf0f6b2114e036c4.pdf
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