This paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with two tandem machines that are subject to breakdown and repair. Since the number of parts in the buffer between the two machines needs to be non-negative, the problem is inherently a state...

This paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with two tandem machines that are subject to breakdown and repair. The system produces a single product, whose rate of demand over time is given to be constant. The problem is formulated as a...

This paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with two tandem machines that are subject to breakdown and repair. The buffer between the two machines is assumed finite. Therefore, the number of parts in that buffer needs to be...

This paper describes a flow rate control policy to manage the production of a wafer fabrication facility. The policy is derived by formulating and solving a stochastic control problem. The results are then used to develop two sets of production control rules. The first one adjusts the lot...

The optimal production control problem of deterministic pull flow lines with multiple part types is considered in this paper. The last machine is assumed to be the bottleneck. The objective is to minimize the total inventory and backlog costs over time. We give an optimal production policy and...

This paper compares for production control policies in terms of their robustness against random disturbance such as machine failures and demand fluctuations. A simulation model based on a VLSI wafer fabrication facility is used to test the performance of the policies. Several criteria including...