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Planning order release dates for multilevel linear supply chain with random lead times. (English) Zbl 1179.93033

Summary: A multilevel linear supply chain is considered in this paper. The lead times at each level are random discrete variables, and the finished product demand is fixed and known. The objective is to minimize the sum of holding and backlogging costs for the finished product. We propose a novel mathematical model which gives the optimal order release dates for the components. From a theoretical point of view, this formulation is equivalent to the discrete Newsboy model. Numerical tests are reported.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
90C90 Applications of mathematical programming
93E03 Stochastic systems in control theory (general)
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