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...

Semiconductor manufacturing performed on expensive machines requires repetitive use of several similar processing operations. Owing to economic considerations, these expensive machines are always shared among many products or a product at different stages of its manufacturing process. The...

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 is concerned with the problem of production planning in a flexible manufacturing system consisting of a single or parallel failure-prone machines producing a number of different products. The objective is to choose the rates of production of the various products over time in order to...

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...

Most manufacturing systems are large and complex and operate in an uncertain environment. One approach to managing such systems is that of hierarchical decomposition. This paper reviews the research devoted to proving that a hierarchy based on the frequencies of occurrence of different types of...

This paper is concerned with the problem of production planning in a flexible manufacturing system consisting of a single or parallel failure-prone machines producing a number of different products. The objective is to choose the rates of production of the various products over time in order to...

This paper considers an optimal production planning problem for an infinite horizon stochastic manufacturing system with long-run average cost criterion. The optimal feedback control is characterized by turnpike sets with the aid of viscosity solutions to the dynamic programming equations. The...

We investigate the impact of the process of manufacturing and distribution on the safety stock levels in a supply chain. A pipeline hedging method is used to derive a model for estimating the safety stock levels. We propose methods and guidelines to redesign the manufacturing and distribution...

We study a two-stage purchase contract with a demand forecast update. The purchase contract provides the buyer an opportunity to adjust an initial commitment based on an updated demand forecast obtained at a later stage. An adjustment, if any, incurs a fixed as well as a variable cost. Using a...