Production-inventory games: A new class of totally balanced combinatorial optimization games
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Título: | Production-inventory games: A new class of totally balanced combinatorial optimization games |
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Autor/es: | Guardiola, Luis A. | Meca, Ana | Puerto, Justo |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
Palabras clave: | Production-inventory games | Totally balanced combinatorial optimization games | Core-allocations | Owen-allocations | Monotonicity rules |
Fecha de publicación: | 30-mar-2007 |
Editor: | Elsevier |
Cita bibliográfica: | Games and Economic Behavior. 2009, 65(1): 205-219. https://doi.org/10.1016/j.geb.2007.02.003 |
Resumen: | In this paper we introduce a new class of cooperative games that arise from production-inventory problems. Several agents have to cover their demand over a finite time horizon and shortages are allowed. Each agent has its own unit production, inventory-holding and backlogging cost. Cooperation among agents is given by sharing production processes and warehouse facilities: agents in a coalition produce with the cheapest production cost and store with the cheapest inventory cost. We prove that the resulting cooperative game is totally balanced and the Owen set reduces to a singleton: the Owen point. Based on this type of allocation we find a population monotonic allocation scheme for this class of games. Finally, we point out the relationship of the Owen point with other well-known allocation rules such as the nucleolus and the Shapley value. |
Patrocinador/es: | The research of the authors is partially supported by Spanish Ministry of Science and Technology grants number: BFM2004-0909, HA2003-0121, MTM2005-09184-C02-02, SEC2002-00112. |
URI: | http://hdl.handle.net/10045/140481 |
ISSN: | 0899-8256 (Print) | 1090-2473 (Online) |
DOI: | 10.1016/j.geb.2007.02.003 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2007 Elsevier Inc. |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.1016/j.geb.2007.02.003 |
Aparece en las colecciones: | Personal Investigador sin Adscripción a Grupo |
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Archivo | Descripción | Tamaño | Formato | |
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Guardiola_etal_2009_GamesEconBehav_final.pdf | Versión final (acceso restringido) | 163,58 kB | Adobe PDF | Abrir Solicitar una copia |
Guardiola_etal_2009_GamesEconBehav_preprint.pdf | Preprint (acceso abierto) | 275,85 kB | Adobe PDF | Abrir Vista previa |
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