P -facility capacitated location problem with customer-equilibrium decisions: a recreational case study in Mazandaran province
Journal of Modelling in Management
ISSN: 1746-5664
Article publication date: 27 May 2024
Issue publication date: 26 November 2024
Abstract
Purpose
This paper aims to propose a bi-level mixed integer linear location-allocation problem. The upper-level objective function is dedicated to minimizing the total distances covered by customers to meet the p-selected facilities and the fixed cost values for establishing these facilities. While in the lower level, a customer preference function evaluates the priority of customers in selecting facilities.
Design/methodology/approach
The solution approach to the proposed model uses the Karush–Kuhn–Tucker (KKT) optimality conditions to the lower-level problem where a set of p-selected facilities are introduced as the selection of the upper-level decision maker. The bi-level model reduces to a single-level model with some added binary variables.
Findings
Sensitivity analysis of the proposed bi-level model concerning variations of such different parameters as customers’ preferences and the number of selected facilities have been provided, using some numerical examples. Also, locating a recreational facility in Mazandaran province, Iran, has been provided to evaluate the reliability of the proposed model and efficiency of the solution approach, as well.
Originality/value
To the best of the authors’ knowledge, this paper is original and its findings are not available elsewhere.
Keywords
Acknowledgements
The authors would like to express their gratitude to the anonymous referees for their invaluable comments that contributed to the enhancement of this research.
Citation
Zaferanieh, M., Sadra, M. and Basirat, T. (2024), "
Publisher
:Emerald Publishing Limited
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