Solving the generalized apportionment problem through the optimization of discrepancy functions

One of the ways to solve the classical apportionment problem (which has been studied chiefly in relation to the apportionment of seats in a chamber of representatives) is the optimization of a discrepancy function; although this approach seems very natural, it has been hardly used. In this paper, we...

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Detalles Bibliográficos
Autores: Bautista Valhondo, Joaquín|||0000-0002-2214-4991, Companys Pascual, Ramón, Corominas Subias, Albert|||0000-0002-4795-7761
Tipo de recurso: artículo
Fecha de publicación:2001
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/6081
Acceso en línea:https://hdl.handle.net/2117/6081
Access Level:acceso abierto
Palabra clave:Combinatorial optimization
Combinatorial analysis
Apportionment problem
Análisis combinatorio
Anàlisi combinatori
Optimització combinatòria
Àrees temàtiques de la UPC::Economia i organització d'empreses::Direcció d'operacions
Descripción
Sumario:One of the ways to solve the classical apportionment problem (which has been studied chiefly in relation to the apportionment of seats in a chamber of representatives) is the optimization of a discrepancy function; although this approach seems very natural, it has been hardly used. In this paper, we propose a more general formalization of the problem and an optimization procedure for a broad class of discrepancy functions, study the properties of the procedure and present some examples in which it is applied.