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Solving the Bilevel Facility Location Problem under Preferences by a Stackelberg-Evolutionary Algorithm
Joint Authors
González-Ramírez, Rosa G.
Cordero-Franco, Álvaro Eduardo
Camacho-Vallejo, José-Fernando
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This research highlights the use of game theory to solve the classical problem of the uncapacitated facility location optimization model with customer order preferences through a bilevel approach.
The bilevel model provided herein consists of the classical facility location problem and an optimization of the customer preferences, which are the upper and lower level problems, respectively.
Also, two reformulations of the bilevel model are presented, reducing it into a mixed-integer single-level problem.
An evolutionary algorithm based on the equilibrium in a Stackelberg’s game is proposed to solve the bilevel model.
Numerical experimentation is performed in this study and the results are compared to benchmarks from the existing literature on the subject in order to emphasize the benefits of the proposed approach in terms of solution quality and estimation time.
American Psychological Association (APA)
Camacho-Vallejo, José-Fernando& Cordero-Franco, Álvaro Eduardo& González-Ramírez, Rosa G.. 2014. Solving the Bilevel Facility Location Problem under Preferences by a Stackelberg-Evolutionary Algorithm. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-471647
Modern Language Association (MLA)
Camacho-Vallejo, José-Fernando…[et al.]. Solving the Bilevel Facility Location Problem under Preferences by a Stackelberg-Evolutionary Algorithm. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-471647
American Medical Association (AMA)
Camacho-Vallejo, José-Fernando& Cordero-Franco, Álvaro Eduardo& González-Ramírez, Rosa G.. Solving the Bilevel Facility Location Problem under Preferences by a Stackelberg-Evolutionary Algorithm. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-471647
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471647