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Quasi-variational inequality approach to multi-item single machine lot scheduling problem

Abstract : We study in this paper the optimization of a production system comprising a multi-item single machine. Taking into account the switching-costs, we analyze the optimization of the system in terms of a system of Quasi-Variational-Inequalities (QVI) which due to the presence of state restrictions, has unbounded solutions. This system represents the Bellman equation associated to this optimal switching control problem. We study the structure of this QVI system, its solutions and numerical methods to solve it.
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https://hal.inria.fr/inria-00074615
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 3:54:25 PM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM
Long-term archiving on: : Tuesday, April 12, 2011 - 5:47:37 PM

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  • HAL Id : inria-00074615, version 1

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Roberto L. Gonzalez, K. Muramatsu, Edmundo Rofman. Quasi-variational inequality approach to multi-item single machine lot scheduling problem. [Research Report] RR-2057, INRIA. 1993. ⟨inria-00074615⟩

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