Abstract

This paper considers an optimal policy for an assembly system. In the system, a final product is assembled from two components, each of which is ordered from an external supplier. The final product is in demand. Order lead time, assembly time and demand are assumed to be random. The cost structure consists of the shortage cost for the final product and holding costs for the components and final products. We deal with the optimal control problem in which the optimal order policy for the components and the optimal assembly policy of the final product are decided so as to minimize the expected cost. The optimal control problem is formulated as an undiscounted semi-Markov decision process. Numerical results are shown in order to study the influence of parameters such as order lead time, demand and costs on the optimal policies.

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