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Détail de l'auteur
Auteur Pelegrín-Pelegrín, B.
Documents disponibles écrits par cet auteur
Affiner la rechercheFinding location equilibria for competing firms under delivered pricing / Pelegrín-Pelegrín, B. in Journal of the operational research society (JORS), Vol. 62 N° 4 (Avril 2011)
[article]
in Journal of the operational research society (JORS) > Vol. 62 N° 4 (Avril 2011) . - pp. 729–741
Titre : Finding location equilibria for competing firms under delivered pricing Type de document : texte imprimé Auteurs : Pelegrín-Pelegrín, B., Auteur ; Dorta-González, P., Auteur ; Fernández-Hernández, P., Auteur Année de publication : 2011 Article en page(s) : pp. 729–741 Note générale : Recherche opérationnelle Langues : Anglais (eng) Mots-clés : Location Game theory Integer programming Delivered pricing Index. décimale : 001.424 Résumé : We address the problem of finding location equilibria of a location-price game where firms first select their locations and then set delivered prices in order to maximize their profits. Assuming that firms set the equilibrium prices in the second stage, the game is reduced to a location game for which a global minimizer of the social cost is a location equilibrium if demand is completely inelastic and marginal production cost is constant. The problem of social cost minimization is studied for both a network and a discrete location space. A node optimality property when the location space is a network is shown and an Integer Linear Programming (ILP) formulation is obtained to minimize the social cost. It is also shown that multiple location equilibria can be found if marginal delivered costs are equal for all competitors. Two ILP formulations are given to select one of such equilibria that take into account the aggregated profit and an equity criterion, respectively. An illustrative example with real data is solved and some conclusions are presented. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v62/n4/abs/jors20102a.html [article] Finding location equilibria for competing firms under delivered pricing [texte imprimé] / Pelegrín-Pelegrín, B., Auteur ; Dorta-González, P., Auteur ; Fernández-Hernández, P., Auteur . - 2011 . - pp. 729–741.
Recherche opérationnelle
Langues : Anglais (eng)
in Journal of the operational research society (JORS) > Vol. 62 N° 4 (Avril 2011) . - pp. 729–741
Mots-clés : Location Game theory Integer programming Delivered pricing Index. décimale : 001.424 Résumé : We address the problem of finding location equilibria of a location-price game where firms first select their locations and then set delivered prices in order to maximize their profits. Assuming that firms set the equilibrium prices in the second stage, the game is reduced to a location game for which a global minimizer of the social cost is a location equilibrium if demand is completely inelastic and marginal production cost is constant. The problem of social cost minimization is studied for both a network and a discrete location space. A node optimality property when the location space is a network is shown and an Integer Linear Programming (ILP) formulation is obtained to minimize the social cost. It is also shown that multiple location equilibria can be found if marginal delivered costs are equal for all competitors. Two ILP formulations are given to select one of such equilibria that take into account the aggregated profit and an equity criterion, respectively. An illustrative example with real data is solved and some conclusions are presented. DEWEY : 001.424 ISSN : 0160-5682 En ligne : http://www.palgrave-journals.com/jors/journal/v62/n4/abs/jors20102a.html