Browsing by Subject "Location"
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- PublicationOpen AccessA Discrete Competitive Facility Location Model with Minimal Market Share Constraints and Equity-Based Ties Breaking Rule(IOS PRESS, 2020) Fernández Hernández, Pascual; Lancinskas, Algirdas; Pelegrín Pelegrín, Blas; Zilinskas, Julius; Estadística e Investigación OperativaWe consider a geographical region with spatially separated customers, whose demand is currently served by some pre-existing facilities owned by different firms. An entering firm wants to compete for this market locating some new facilities. Trying to guarantee a future satisfactory captured demand for each new facility, the firm imposes a constraint over its possible locations (a finite set of candidates): a new facility will be opened only if a minimal market share is captured in the short-term. To check that, it is necessary to know the exact captured demand by each new facility. It is supposed that customers follow the partially binary choice rule to satisfy its demand. If there are several new facilities with maximal attraction for a customer, we consider that the proportion of demand captured by the entering firm will be equally distributed among such facilities (equity-based rule). This ties breaking rule involves that we will deal with a nonlinear constrained discrete competitive facility location problem. Moreover, minimal attraction conditions for customers and distances approximated by intervals have been incorporated to deal with a more realistic model. To solve this nonlinear model, we first linearize the model, which allows to solve small size problems because of its complexity, and then, for bigger size problems, a heuristic algorithm is proposed, which could also be used to solve other constrained problems.
- PublicationOpen AccessA discrete competitive facility location model with proportional and binary rules sequentially applied(SPRINGER, 2023) Fernández Hernández, Pascual; Lancinskas, Algirdas; Pelegrín Pelegrín, Blas; Zilinskas, Julius; Estadística e Investigación OperativaThe paper is focused on discrete competitive facility location problem for an entering firm considering different customer behavior models: for essential goods, customers generally spread their buying power among all facilities within an attraction area, but if there are no facilities nearby, then customers choose a single highly attractive facility outside the attraction area to satisfy their demand. The new facility location model has been proposed considering the proportional customer choice rule for customers with facilities within the attraction area and the binary rule—for customers which facilities are located outside the attraction area. The model has been formulated as a non-linear binary programming problem and a heuristic optimization algorithm has been applied to find the optimal solutions for different instances of the problem using real geographical coordinates and population data of thousands of municipalities in Spain.
- PublicationOpen AccessEl espacio urbano y su influencia narrativa en el cine de ficción: una propuesta metodológica aplicada(Asociación de Geógrafos Españoles (AGE), 2022) Martínez Puche, Salvador; Deborah Castro; ComunicaciónLa finalidad del artículo es contribuir al estudio del uso del espacio urbano como localización de rodajes y escenario para las ficciones audiovisuales conforme a su función narrativa y relevancia dramática. La propuesta metodológica aplicada se desarrolla en dos fases complementarias: una descriptiva-cuantitativa y un análisis de texto cualitativo. En primer lugar hemos seleccionado una muestra limitada a cuatro lugares emblemáticos y reconocibles de la ciudad de Madrid, estudiando sus relaciones con las películas rodadas en estos emplazamientos. Después hemos establecido una correspondencia comparativa y cronotópica entre dos filmes: La virgen de agosto (2019), filmado en un Madrid menos icónico, y Nieva en Benidorm (2020), en la costa mediterránea. Atendiendo sistemáticamente a variables y atributos denotativos, connotativos, simbólicos y narrativos de las ciudades representadas o recreadas, podemos deducir y entender cómo interactúa el espacio físico y el espacio narrativo, aportando un método epistemológico válido de comprensión del relato cinematográfico.
- PublicationOpen AccessThreshold distance versus side payment to reduce the cannibalization effect in retail chain expansion(OXFORD UNIVERSITY PRESS. ENGLAND, 2019) Pelegrín Pelegrín, Blas; Fernández Hernández, Pascual; Pelegrín García, Juan Diego; García Pérez, María Dolores; Estadística e Investigación OperativaWe deal with the store location problem for an expanding retail chain in competition with other retail chains that offer the same type of product. The aim of the expanding retail chain is profit maximization, but counteracting the possible loss in profit of the existing stores in the chain caused by the appearance of the new ones. In this article, we compare two approaches, one based on a threshold distance and another based on a side payment, to reduce the effect of cannibalization of existing stores under a delivered pricing policy in a transportation network. It is proved that optimal store locations can be found at the nodes of the network and an integer linear programming model is shown to solve the store location problem for each approach. A study with data of Spanish municipalities is presented where the percentage of profit increase after the expansion and the percentage of cannibalized profit corresponding to the optimal solutions of the two models are compared for different combinations of the threshold distance, the side payment, and the number of new stores.