Competencia espacial por cuotas de mercadoel problema del líder-seguidor mediante programación lineal

  1. Campos Rodríguez, Clara M.
  2. Santos Peñate, Dolores
  3. Moreno Pérez, José Andrés
Revista:
Rect@: Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA

ISSN: 1575-605X

Año de publicación: 2011

Volumen: 12

Número: 1

Páginas: 68-84

Tipo: Artículo

DIALNET GOOGLE SCHOLAR lock_openDialnet editor

Otras publicaciones en: Rect@: Revista Electrónica de Comunicaciones y Trabajos de ASEPUMA

Resumen

In this paper we consider a location problem where two firms enter the market sequentially, competing for capturing customers located at a finite set of points, to which the competitors offer a product or service. The existing demand is satisfied by the rival firms according to the proximity between clients and facilities. In this model, where the object of competition is the market share and the only customer decision criterion is the distance from clients to the supplier of goods or services, the only relevant decision variable is the location of facilities. A version of the leaderfollower model is considered. The problem is to determine optimal strategies for each firm, the leader and the follower, which make decisions sequentially in order to achieve certain objectives. The proposed formulation incorporates a distance threshold that represents the minimum difference between the distances client-leader and client-follower that provides a change in the consumer preference. The objective of the follower, when the location of the leader is known, is to maximize its captured demand or market share. The optimization problem of the leader is to minimize the maximum market share that the follower would capture.

Referencias bibliográficas

  • S. Benati, G. Laporte, Tabu search algorithms for the (r|Xp)-medianoid and (r|p)-centroid problems. Location Science 2 (1994) 193-204.
  • 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. Cornuejols, G.L. Nemhauser, L.A. Wolsey . The uncapacitated facility location problem, in Discrete Location Theory, edited by P.B. Mirchandani and R.L. Francis (Wiley, USA, 1990)
  • 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
  • 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.
  • 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 410(47-49), 5128-5137 (2009)
  • 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
Fuente de los datos: Dialnet