Comparison of mip models for the integrated lot-sizing and one-dimensional cutting stock problem

Production processes comprising both the lot-sizing problem and the cutting stock problem are frequent in various industrial sectors. However these problems are usually treated separately, which can generates suboptimal overall solution and consequently causes production losses. In this paper, we pr...

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Detalles Bibliográficos
Autores: Melega, Gislaine Mara [UNESP], de Araujo, Silvio Alexandre [UNESP], Jans, Raf
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/173106
Acceso en línea:http://dx.doi.org/10.1590/0101-7438.2016.036.01.0167
http://hdl.handle.net/11449/173106
Access Level:acceso abierto
Palabra clave:Capacitated lot-sizing problems
Column generation
One-Dimensional cutting stock problem
Descripción
Sumario:Production processes comprising both the lot-sizing problem and the cutting stock problem are frequent in various industrial sectors. However these problems are usually treated separately, which can generates suboptimal overall solution and consequently causes production losses. In this paper, we propose different mathematical models for the integrated problem combining alternative models for the lot-sizing and the cutting stock problem, in order to evaluate and indicate the impact of these changes on the models’ performance. An extensive computational study is done using randomly generated data and as a solution strategy we used a commercial optimization package and the application of a column generation technique.