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P-facility capacitated location problem with customer-equilibrium decisions: a recreational case study in Mazandaran province

P-facility capacitated location problem with customer-equilibrium decisions: a recreational case... 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/approachThe 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.FindingsSensitivity 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/valueTo the best of the authors’ knowledge, this paper is original and its findings are not available elsewhere. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Modelling in Management Emerald Publishing

P-facility capacitated location problem with customer-equilibrium decisions: a recreational case study in Mazandaran province

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References (56)

Publisher
Emerald Publishing
Copyright
© Emerald Publishing Limited
ISSN
1746-5664
eISSN
1746-5672
DOI
10.1108/jm2-08-2023-0194
Publisher site
See Article on Publisher Site

Abstract

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/approachThe 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.FindingsSensitivity 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/valueTo the best of the authors’ knowledge, this paper is original and its findings are not available elsewhere.

Journal

Journal of Modelling in Management – Emerald Publishing

Published: Nov 26, 2024

Keywords: Bi-level programming; Location-allocation problem; Primal-dual optimality; Locating recreational facility

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