Clustering based hybrid approach for facility location problem

The main objective of facility location problem is the utilization of the facility by maximum number of possible customers so that the profit is maximized. For instance, in some services like wireless sensor networks, Wi-Fi, repeaters, etc., where the service area is limited, some specific equipment...

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Main Authors: Ashish Sharma, A. S. Jalal
Format: Article
Language:English
Published: Growing Science 2017-12-01
Series:Management Science Letters
Subjects:
Online Access:http://www.growingscience.com/msl/Vol7/msl_2017_36.pdf
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author Ashish Sharma
Ashish Sharma
A. S. Jalal
author_facet Ashish Sharma
Ashish Sharma
A. S. Jalal
author_sort Ashish Sharma
collection DOAJ
description The main objective of facility location problem is the utilization of the facility by maximum number of possible customers so that the profit is maximized. For instance, in some services like wireless sensor networks, Wi-Fi, repeaters, etc., where the service area is limited, some specific equipment is installed in such a way that it could be used by maximum number of users. Here, the number of users for a particular facility is optimized with the help of clustering technique. The study develops a model for facility allocation problem. For the solution algorithm, a hybrid approach which is based on clustering and mixed integer linear programming (MILP) is proposed. The proposed method consists of two parts where in the first part, the K-means clustering technique is used and in the second part, for each cluster an MILP technique is implemented so that the facility which yields the maximum profit is obtained. Numerical examples for clustering and without clustering are presented. Analysis shows that due to clustering the average distance between facility and customer is significantly reduced.
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spelling doaj.art-ce768ec4d91e41f3ae38e1d5aaf893c32022-12-22T00:02:41ZengGrowing ScienceManagement Science Letters1923-93351923-93432017-12-0171257758410.5267/j.msl.2017.8.007Clustering based hybrid approach for facility location problemAshish SharmaAshish SharmaA. S. JalalThe main objective of facility location problem is the utilization of the facility by maximum number of possible customers so that the profit is maximized. For instance, in some services like wireless sensor networks, Wi-Fi, repeaters, etc., where the service area is limited, some specific equipment is installed in such a way that it could be used by maximum number of users. Here, the number of users for a particular facility is optimized with the help of clustering technique. The study develops a model for facility allocation problem. For the solution algorithm, a hybrid approach which is based on clustering and mixed integer linear programming (MILP) is proposed. The proposed method consists of two parts where in the first part, the K-means clustering technique is used and in the second part, for each cluster an MILP technique is implemented so that the facility which yields the maximum profit is obtained. Numerical examples for clustering and without clustering are presented. Analysis shows that due to clustering the average distance between facility and customer is significantly reduced.http://www.growingscience.com/msl/Vol7/msl_2017_36.pdfFacility location problemFuzzy demandRegion searchDistance based FLP
spellingShingle Ashish Sharma
Ashish Sharma
A. S. Jalal
Clustering based hybrid approach for facility location problem
Management Science Letters
Facility location problem
Fuzzy demand
Region search
Distance based FLP
title Clustering based hybrid approach for facility location problem
title_full Clustering based hybrid approach for facility location problem
title_fullStr Clustering based hybrid approach for facility location problem
title_full_unstemmed Clustering based hybrid approach for facility location problem
title_short Clustering based hybrid approach for facility location problem
title_sort clustering based hybrid approach for facility location problem
topic Facility location problem
Fuzzy demand
Region search
Distance based FLP
url http://www.growingscience.com/msl/Vol7/msl_2017_36.pdf
work_keys_str_mv AT ashishsharma clusteringbasedhybridapproachforfacilitylocationproblem
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