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Avoiding unfairness of Owen allocations in linear production processes

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Avoiding unfairness of Owen allocations in linear production processes

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dc.contributor.author Perea Rojas Marcos, Federico es_ES
dc.contributor.author Puerto Albandoz, Justo es_ES
dc.contributor.author Fernández García, Francisco Ramón es_ES
dc.date.accessioned 2015-10-26T11:18:52Z
dc.date.available 2015-10-26T11:18:52Z
dc.date.issued 2012-07-01
dc.identifier.issn 0377-2217
dc.identifier.uri http://hdl.handle.net/10251/56504
dc.description.abstract This paper deals with cooperation situations in linear production problems in which a set of goods are to be produced from a set of resources so that a certain benefit function is maximized, assuming that resources not used in the production plan have no value by themselves. The Owen set is a well-known solution rule for the class of linear production processes. Despite their stability properties, Owen allocations might give null payoff to players that are necessary for optimal production plans. This paper shows that, in general, the aforementioned drawback cannot be avoided allowing only allocations within the core of the cooperative game associated to the original linear production process, and therefore a new solution set named EOwen is introduced. For any player whose resources are needed in at least one optimal production plan, the EOwen set contains at least one allocation that assigns a strictly positive payoff to such player. © 2012 Elsevier B.V. All rights reserved. es_ES
dc.description.sponsorship The authors want to thank the Spanish Ministry of Science and Technology for providing financial support under Grants MTM200767433 and MTM201019576, and the Junta de Andalucia/Feder (Spain) under Grant FQM5849. Special thanks are due to two anonymous referees for their valuable comments and suggestions. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation Spanish Ministry of Science and Technology MTM200767433 es_ES
dc.relation Spanish Ministry of Science and Technology MTM201019576 es_ES
dc.relation Junta de Andalucia/Feder (Spain) FQM5849 es_ES
dc.relation.ispartof European Journal of Operational Research es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Allocations es_ES
dc.subject Cooperative games es_ES
dc.subject Linear production games es_ES
dc.subject Benefit functions es_ES
dc.subject Cooperative game es_ES
dc.subject Linear production es_ES
dc.subject Linear production game es_ES
dc.subject Optimal production es_ES
dc.subject Production plans es_ES
dc.subject Solution set es_ES
dc.subject Stability properties es_ES
dc.subject Game theory es_ES
dc.subject Optimization es_ES
dc.subject Planning es_ES
dc.subject Production control es_ES
dc.subject Project management es_ES
dc.subject Stability es_ES
dc.subject Production engineering es_ES
dc.subject.classification ESTADISTICA E INVESTIGACION OPERATIVA es_ES
dc.title Avoiding unfairness of Owen allocations in linear production processes es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.ejor.2012.01.013
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Estadística e Investigación Operativa Aplicadas y Calidad - Departament d'Estadística i Investigació Operativa Aplicades i Qualitat es_ES
dc.description.bibliographicCitation Perea Rojas Marcos, F.; Puerto Albandoz, J.; Fernández García, FR. (2012). Avoiding unfairness of Owen allocations in linear production processes. European Journal of Operational Research. 220(1):125-131. doi:10.1016/j.ejor.2012.01.013 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.ejor.2012.01.013 es_ES
dc.description.upvformatpinicio 125 es_ES
dc.description.upvformatpfin 131 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 220 es_ES
dc.description.issue 1 es_ES
dc.relation.senia 208893 es_ES


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