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New MAXCAP Related Problems: Formulation and Model Solutions: A class of competitive location problems

Shaikh, Arifusalam, Salhi, Said, Ndiaye, Malick M. (2015) New MAXCAP Related Problems: Formulation and Model Solutions: A class of competitive location problems. Computers & Industrial Engineering, 85 . pp. 248-259. ISSN 0360-8352. (doi:10.1016/j.cie.2015.03.018) (KAR id:48033)

Abstract

In this paper three related problems of the maximum capture (MAXCAP) model are proposed. These include the case where facilities provide a certain amount of service level for the customers, the possibility where customers do not allocate their demand completely to one facility but prorate their demand based on the service level, and finally we explore the situation where customers will not opt for sharing their demand irrespective of the service level if the next attractive facility is too far way which we express by a distance threshold. These models are put forward to mimic realistic situations related to customer behaviour when it comes to selecting a facility. Their respective mathematical formulations are put forward and tested on a case study and also over a range of larger data sets.

Item Type: Article
DOI/Identification number: 10.1016/j.cie.2015.03.018
Uncontrolled keywords: Competitive location, customer behaviour, ILP formulations
Subjects: H Social Sciences > H Social Sciences (General)
Q Science > Operations Research - Theory
Divisions: Divisions > Kent Business School - Division > Department of Analytics, Operations and Systems
Depositing User: Said Salhi
Date Deposited: 22 Apr 2015 10:43 UTC
Last Modified: 19 Sep 2023 15:04 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/48033 (The current URI for this page, for reference purposes)

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