A Discrete Competitive Facility Location Model with Minimal Market Share Constraints and Equity-Based Ties Breaking Rule

Fernández Hernández, Pascual; Lancinskas, Algirdas; Pelegrín Pelegrín, Blas; Zilinskas, Julius

Publication:
A Discrete Competitive Facility Location Model with Minimal Market Share Constraints and Equity-Based Ties Breaking Rule

dc.contributor.author	Fernández Hernández, Pascual
dc.contributor.author	Lancinskas, Algirdas
dc.contributor.author	Pelegrín Pelegrín, Blas
dc.contributor.author	Zilinskas, Julius
dc.contributor.department	Estadística e Investigación Operativa
dc.date.accessioned	2024-01-25T09:09:34Z
dc.date.available	2024-01-25T09:09:34Z
dc.date.issued	2020
dc.description	©2020. This manuscript version is made available under the CC-BY 4.0 license http://creativecommons.org/licenses/by /4.0/ This document is the Published, version of a Published Work that appeared in final form in Informatica: An International Journal. To access the final edited and published work see https://doi.org/10.15388/20-INFOR410	es
dc.description.abstract	We 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.	es
dc.format	application/pdf	es
dc.format.extent	20	es
dc.identifier.citation	Informatica: An International Journal (2020) 205–224
dc.identifier.doi	https://doi.org/10.15388/20-INFOR410
dc.identifier.issn	1822-8844
dc.identifier.issn	0868-4952
dc.identifier.uri	http://hdl.handle.net/10201/137731
dc.language	eng	es
dc.publisher	IOS PRESS	es
dc.relation	This research has been supported by the Fundación Séneca (The Agency of Science and Technology of the Region of Murcia) under the research project 20817/PI/18, and by a Grant (No. S-MIP-17-67) from the Research Council of Lithuania.	es
dc.relation.publisherversion	https://content.iospress.com/articles/informatica/infor410	es
dc.rights	info:eu-repo/semantics/openAccess	es
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Location	es
dc.subject	Competitive model	es
dc.subject	Heuristic algorithms	es
dc.title	A Discrete Competitive Facility Location Model with Minimal Market Share Constraints and Equity-Based Ties Breaking Rule	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es