RT Journal Article
T1 Facilities Delocation in the Retail Sector: A Mixed 0-1 Nonlinear Optimization Model and Its Linear Reformulation
A1 Sierra Paradinas, María
A1 Alonso Ayuso, Antonio
A1 Martín Campo, Francisco Javier
A1 Rodríguez Calo, Francisco
A1 Lasso, Enrique
AB The problem concerning facilities delocation in the retail sector is addressed in this paper by proposing a novel mixed 0-1 linear optimization model. For this purpose, the aim of the problem is to decide whether to close existing stores or consider an alternative type of store management policy aimed at optimizing the profit of the entire retail network. Each management policy has a different repercussion on the final profit of the stores due to the different margins obtained from the customers. Furthermore, closing stores can cause customers to leave the whole retail network according to their behavior. This behavior is brought about through their tendency to abandon this network. There are capacity constraints imposed depending on the number of stores that should stay open and cease operation costs, customer behavior and final prices. These constraints depend on the type of management policy implemented by the store. Due to the commercial requirements concerning customer behavior, a set of non-linear constraints appears in the definition of the model. Classical Fortet inequalities are used in order to linearize the constraints and, therefore, obtain a mixed 0-1 linear optimization model. As a result of the size of the network, border constraints have been imposed to obtain results in a reasonable computing time. The model implementation is done by introducing smart sets of indices to reduce the number of constraints and variables. Finally, the computational results are presented using data from a real-world case study and, additionally, a set of computational experiments using data randomly generated as shown.
PB MDPI
SN 2227-7390
YR 2020
FD 2020-11-07
LK https://hdl.handle.net/20.500.14352/88803
UL https://hdl.handle.net/20.500.14352/88803
LA eng
NO Sierra-Paradinas, M., Alonso-Ayuso, A., Martín-Campo, F. J., Rodríguez-Calo, F., & Lasso, E. (2020). Facilities Delocation in the Retail Sector: A Mixed 0-1 Nonlinear Optimization Model and Its Linear Reformulation. Mathematics, 8(11), 1986. https://doi.org/10.3390/math8111986
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Comunidad de Madrid
DS Docta Complutense
RD 11 abr 2025