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1807. Capacitated service location when fairness principles are significant

Invited abstract in session MA-61: Advances in Location Analysis , stream Locational Analysis.

Monday, 8:30-10:00
Room: S10 (building: 101)

Authors (first author is the speaker)

1. Inigo Martin Melero
UMH
2. Mercedes Landete
Departamento de Estadística y Matemática Aplicada, University Miguel Hernández of Elche
3. Juan Carlos Gonçalves-Dosantos
Universidade da Coruña
4. Joaquin Sánchez-Soriano
Centro de Investigación Operativa, Universidad Miguel Hernández

Abstract

In this work we address the problem of deciding where to install service points when it is certain that the total demand is greater than the capacity that the installed system can achieve. The starting point is a set of potential locations for service points and a set of locations where customers with known demands are. There is a budget to install p service centers with different capacities, although the sum of these capacities is less than the sum of the demands. The problem is deciding where to install these p centers using allocation criteria from conflicting claims problems. Equal losses, equal awards or proportional allocation approaches are considered. All the optimization models we introduce are mixed linear, their optimal solutions illustrate the effect of scarce resource management on the service centers location. Likewise, in addition to including different fairness criteria in the objective function of the optimization models, we also analyze different families of constraints that allow us to guarantee other desirable properties such as that two customers with the same demand have similar services. We check the conditions under which the solutions of our models are efficient in the sense that all capacity is allocated. Finally, we illustrate the behavior of the optimization models by solving instances of different sizes.

Keywords

Status: accepted

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