Resolución de una extensión del problema del líder-Seguidor mediante programación lineal

  1. Clara M. Campos Rodríguez 1
  2. José A. Moreno Pérez 1
  3. Dolores R Santos Peñate 2
  1. 1 Universidad de La Laguna.
  2. 2 Universidad de Las Palmas de Gran Canaria.
Journal:
Anales de ASEPUMA

ISSN: 2171-892X

Year of publication: 2011

Issue: 19

Type: Article

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Abstract

In this paper we consider a version of the leader-follower location model that includes costs of the locations. These costs appear in a budgetary constraint that replaces the condition that bounds the number of facility centers for each competing firm. The problem is to determine optimal strategies for each firm, the leader and the follower, which enter the market sequentially trying to maximize their market share. The existing demand is satisfied by the rival firms according to the proximity between clients and facilities. The proposed formulation incorporates a different cost for each location for the facilities of both firms. 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. Both problems are formulated as linear programming problems.

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