2019
DOI: 10.1016/j.cor.2019.04.013
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The stratified p-center problem

Abstract: This work presents an extension of the p-center problem. In this new model, calledStratified p-Center Problem (SpCP), the demand is concentrated in a set of sites and the population of these sites is divided into different strata depending on the kind of service that they require. The aim is to locate p centers to cover the different types of services demanded minimizing the weighted average of the largest distances associated with each of the different strata. In addition, it is considered that more than one … Show more

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Cited by 10 publications
(4 citation statements)
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References 32 publications
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“…We now model the capacitated dispersion problem by writing the objective function as a telescopic sum of terms (see [8]). Successful applications of this modeling framework in location science are, among others, those in [1,2,4,5,10,13,14,16,22,33], which make use of the so-called cumulative binary variables and, depending on the work, are referred to as covering, radius, or ordering models.…”
Section: Telescopic Formulationmentioning
confidence: 99%
“…We now model the capacitated dispersion problem by writing the objective function as a telescopic sum of terms (see [8]). Successful applications of this modeling framework in location science are, among others, those in [1,2,4,5,10,13,14,16,22,33], which make use of the so-called cumulative binary variables and, depending on the work, are referred to as covering, radius, or ordering models.…”
Section: Telescopic Formulationmentioning
confidence: 99%
“…In order to solve the facility location problem, Albareda Sambola et al established a hierarchical p-center problem (SPCP) model. For this model, a heuristic method based on sample average approximation (SAA) is proposed to extend the p-center problem [24]. Sun et al proposed the concept of optimizing the transmission time [25].…”
Section: Station Location Selectionmentioning
confidence: 99%
“…Callaghan et al [37] and Mihelic and Robic [38] proposed a scoring (Scr) algorithm that is based on the relationship between the p-center problem and the dominating set problem. Albareda-Sambola et al [39] extended the p-center problem according to the practical requirements and established a new hierarchical p-center problem (SpCP) model. A heuristic method that is based on sample average approximation (SAA) is proposed for this model.…”
Section: Time Optimization Base-station Selectionmentioning
confidence: 99%