Abstract
Abstract This paper deals with a stochastic optimal control problem for a class of failure prone buffered multi parts flow-shops manufacturing system. The flow shop under consideration requires setup time and cost in order to switch the production from a part type to another. Our objective is to find the production plan and sequence of setups that minimize the cost function which penalizes inventory/backlog and setup costs. A continuous dynamic programming formulation of the problem is presented and solved numerically for a two buffered serial machines two parts case. It will be shown that the obtained policy is a combination of a KANBAN/CONWIP and a modified hedging corridor policy.
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