Localización competitiva con valoraciones difusas de los clientes
- Campos Rodríguez, Clara M.
- Santos Peñate, Dolores
- Moreno Pérez, José Andrés
ISSN: 1575-605X
Datum der Publikation: 2012
Ausgabe: 13
Nummer: 1
Seiten: 43-55
Art: Artikel
Andere Publikationen in: Rect@: Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA
Zusammenfassung
A competitive location problem with two firms consists of locating the facilities of these two firms in order to optimize certain objectives. Normally, the objective is to maximize the profit or the market share. For the leader-follower problem the decision making is sequential, first the leader opens its facilities and later the follower enter the market installing facilities in the locations considered more convenient for her/him. We consider that the user decision criterion is based on her/his perception of the time required moving to the facility. This travel time is of vague nature since the customer takes into account that it depends on several factors such as the traffic conditions. Therefore the customer choice is modeled using the theory of fuzzy sets. We propose and solve the leader-follower problem assuming that customers base their decision on the comparison of fuzzy times required to have access to the services established by each competitor. The fuzzy set theory is a rigorous and effective instrument for dealing with problems in which the information is vague.
Bibliographische Referenzen
- S. Benati, G. Laporte, Tabu search algorithms for the (r|Xp)-medianoid and (r|p)-centroid problems. Location Science 2 (1994) 193-204.
- O. Berman, D. Krass, The generalized maximal covering location problem. Computers & Operations Research 29 (2002) 563-581.
- J. Bhadury, H.A. Eiselt, J.H. Jaramillo, An alternating heuristic for medianoid and centroid problems in the plane. Computers & Operations Research 30 (2003) 553-565.
- G. Bortolan, R. Degani. A review of some methods for ranking fuzzy subsets. Fuzzy Sets and Systems 15 (1985), 1-19.
- L.M. de Campos Ibáñez, J.L. Verdegay Galdeano. Modelos auxiliares para problemas de programación lineal con coeficientes imprecisos en las restricciones. Trabajos de Investigación Operativa, 4(1), (1989): 21-38.
- C.M. Campos Rodríguez, D.R. Santos Peñate, J.A. Moreno Pérez. An exact procedure and LP formulations for the leader-follower location problema. TOP 18(1) (2010) 97-121.
- C.M. Campos Rodríguez, D.R. Santos Peñate, J.A. Moreno Pérez. Competencia espacial por cuotas de mercado: el problema del líder-seguidor mediante programación lineal. Rect@ 12(1) (2011) 69- 84.
- C.M. Campos, L. Canós, M.J. Canós, V. Liern, J.A. Moreno, D. Santos. Decision Making in Competitive Location using Fuzzy Sets. Actas de la Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference IFSA 2009/EUSFLAT-2009. Lisboa, Portugal. 20-24 de Julio de 2009.
- S. J. Chen, C. L. Hwang. Fuzzy Multiple Attribute Decision Making. New York: Springer, 1992.
- S. Daskin, Network and discrete location. Models, algorithms and applications. (Wiley, New York, 1995).
- N.E. Devletoglou, A dissenting view of duopoly and spatial competition. Economica May (1965) 141-160.
- N.E. Devletoglou, P.A. Demetriou, Choice and threshold: a further experiment in spatial duopoly. Economica November (1967) 351-371
- G. Dobson, U.S. Karmarkar, Competitive location on a network, Operations Research 35 (1987) 565-574.
- D. Dubois, H. Prade. Fuzzy sets and systems - Theory and applications. New York: Academinc Press 1980.
- H.A. Eiselt, G. Laporte, Competitive spatial models, European Journal of Operational Research 39 (1989) 231-242.
- H.A. Eiselt, G. Laporte, Sequential location problems, European Journal of Operational Research 96 (1996) 217-231
- H.A. Eiselt, G. Laporte, J.F.Thisse, Competitive location models: A framework and bibliography. Transportation Science 27(1) (1993) 44-54
- T.L. Friesz, T. Miller and R.L. Tobin, Competitive network facility location models: a survey. Papers of the Regional Science Association 65 (1988) 47-57
- R. Gandhi, S. Khuller, A. Srinivasan, Approximation algorithms for partial covering problems, Journal of Algorithms 53(1) (2004) 55–84
- S.L. Hakimi, On locating new facilities in a competitive environment, European Journal of Operational Research 12 (1983) 29-35
- S.L. Hakimi, Location with spatial interactions: competitive locations and games. In Mirchandani PB, Francis RL (ed) Discrete Location Theory (Wiley, New York, 1990) 439-478.
- A. Kaufmann, M.M. Gupta, Introduction to Fuzzy Arithmetic: Theory and Applications, (Van Nostrand Reinhold, New York, 1991).
- F. Plastria, Static competitive facility location: an overview of optimization approaches, European Journal of Operational Research (1990) 129:461-470.
- J.L. Redondo, J. Fernández, I. García, P.M. Ortigosa, Heuristics for the facility location and design (1|1)-centroid problem on the plane. Computational Optimization and Applications, 45(1) 2010.
- C. ReVelle, The maximum capture or sphere of influence location problem: Hotelling revisited on a network, Journal of Regional Science 26(2) (1986) 343-358
- D.R. Santos-Peñate, R.R. Suárez-Vega, P. Dorta-González, The leader-follower location model, Networks and Spatial Economics (2007) 7:45-61.
- D. Serra, C. ReVelle, Market capture by two competitors: the preemptive location problem, Journal of Regional Science 34(4) (1994) 549-561.
- D. Serra, C. ReVelle, Competitive location in discrete space, in Z. Drezner (ed.) Facility location: A survey of applications and methods (Springer, Berlin 1995) 367-386.
- J. Spoerhase, H.C. Wirth, (r|p)-centroid problems on paths and trees, Theoretical Computer Science
- R. Suárez-Vega, D.R. Santos-Peñate, P. Dorta-González, Competitive multifacility location on networks: the (r|Xp)-medianoid problem. Journal of Regional Science 44(3) (2004) 569-588.
- L.A. Zadeh. Fuzzy sets. Information and Control 8 (1965) 338-353.