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Reports (Research Report) Year : 1993

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

Roberto L. Gonzalez
  • Function : Author
K. Muramatsu
  • Function : Author

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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Other [cs.OH]
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Dates and versions

inria-00074615 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074615 , version 1

Cite

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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