A two-level genetic algorithm for the location-allocation problem with efficient capacity on servers

Tahereh Sayyar, Jafar Fathali and Mojtaba Ghiyasi

Journal of Advances in Management Research, 2026, vol. 23, issue 5, 717-733

Abstract: PurposeThe main goal is to reconsider the number of servers to a specified value so that the sum of the traveling cost of every customer to servers, as well as the sum of the input costs relative to each server, is minimized. To this end, we propose a mathematical programming model and to solve the proposed model, we propose a two-level genetic algorithm.Design/methodology/approachIn this article, we propose a novel allocation-location problem, considering the efficiency concept based on data envelopment analysis. In most location models, a predetermined capacity is associated with each server. In this article, we propose a new joint model in the efficiencies of the servers are considered as their capacities.FindingsWe apply our models in the transportation of high school's students in Shahrood city, who are faced with a low rate of new entrants and the number of high schools needs to be reconsidered. In other words, the aim is to reconsider (reducing in our case) the number of schools regarding the rate of student entrance and population size.Originality/valueWe propose a novel allocation-location problem, considering the efficiency concept based on data envelopment analysis. In most location models, a predetermined capacity is associated with each server. In this article, we propose a new joint model in the efficiencies of the servers are considered as their capacities.

Keywords: Data envelopment analysis; Capacitated location; Allocation; High school (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eme:jamrpp:jamr-10-2024-0383

DOI: 10.1108/JAMR-10-2024-0383

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