A model for supply planning under lead time uncertainty

The paper is focused on the search of the optimal values of the planned lead times for the MRP method under lead time uncertainty. The problem is to find the planned lead times, which minimize the expected backlogging and holding costs. The aim of the paper is to give a mathematical formulation of t...

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Bibliographic Details
Published inInternational journal of production economics Vol. 78; no. 2; pp. 145 - 152
Main Authors Dolgui, Alexandre, Ould-Louly, Mohamed-Aly
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 21.07.2002
Elsevier
Elsevier Sequoia S.A
SeriesInternational Journal of Production Economics
Subjects
Computer Science
Inventory control
Markov analysis
Markov model
Material requirements planning
Mathematical models
Modeling and Simulation
MRP method
Random lead time
Studies
Supply planning
Random lead time
Supply planning
Inventory control
MRP method
Markov model
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Summary:The paper is focused on the search of the optimal values of the planned lead times for the MRP method under lead time uncertainty. The problem is to find the planned lead times, which minimize the expected backlogging and holding costs. The aim of the paper is to give a mathematical formulation of this single-level, multi-item, dynamic multi-period planning problem. For the case where lead time does not depend on the lot size and demand level is constant, an auxiliary Markov model is proposed. Some new formulations of optimal control policies are obtained using this Markov model.
ISSN:0925-5273
1873-7579
DOI:10.1016/S0925-5273(00)00180-8