Competitive facility location and design with reactions of competitors already in the market

Autor: Nasreddine Saidani, Haoxun Chen, Feng Chu
Přispěvatelé: Laboratoire d'Optimisation des Systèmes Industriels (LOSI), Institut Charles Delaunay (ICD), Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS)-Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS), Informatique, Biologie Intégrative et Systèmes Complexes (IBISC), Université d'Évry-Val-d'Essonne (UEVE)
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: European Journal of Operational Research
European Journal of Operational Research, Elsevier, 2012, 219 (1), pp.9-17. ⟨10.1016/j.ejor.2011.12.017⟩
European Journal of Operational Research, 2012, 219 (1), pp.9-17. ⟨10.1016/j.ejor.2011.12.017⟩
ISSN: 0377-2217
1872-6860
DOI: 10.1016/j.ejor.2011.12.017⟩
Popis: International audience; A new retail facility is to locate and its service quality is to determine where similar facilities of competitors offering the same goods are already present. The market share captured by each facility depends on its distance to customers and its quality, which is described by a probabilistic Huff-like model. In order to maximize the profit of the new facility, a two-stage method is developed, which takes into account the reactions of the competitors. In the quality decision stage, the competitive decision process occurring among facilities is modelled as a game, whose solution is given by its Nash equilibrium. The solution, which can be represented as functions of the location of the new facility, is obtained by analytical resolution of a system of equations in the case of one facility in the market or by polynomial approximation in the case of multiple facilities. In the location decision stage, an interval based global optimization method is used to determine the best location of the new facility. Numerical experiments on randomly generated instances demonstrate the effectiveness of the method.
Databáze: OpenAIRE