This paper considers an infinite horizon stochastic production planning problem with demand assumed to be a continuous-time Markov process. Problems with control (production) and state (inventory) constraints are treated. It is shown that a unique optimal feedback solution exists. This solution...

An asymptotic analysis of a hierarchical manufacturing system with machines subject to breakdown and repair is presented. The machine fluctuations are much faster than the accumulation and discounting of costs, and this gives rise to a limiting problem in which the stochastic machine...

Scheduling methods are proposed for a class of flexible manufacturing systems consisting of machine centers served by a cyclic conveyor. The minimization of finish time is considered as the optimization criterion. An optimal algorithm is proposed for the minimum conveyor speed (S = 1) for a...

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...

This paper summarizes the results of its detailed version, which considers optimal infinite horizon stochastic production planning problems with capacity and demand to be finite state Markov chains. Turnpike set concepts are introduced to characterize the optimal inventory levels. It is shown...

This paper presents a state-of-the-art review of asymptotic analyses of hierarchical manufacturing systems with stochastic demand and machines subject to breakdown and repair. The rate of change in machine states is much larger than the rate of fluctuation in demand and the rate of discounting...

This paper presents an asymptotic analysis of hierarchical investment and production decisions in a manufacturing system with machines subject to breakdown and repair. The demand facing the system is assumed to be a given constant. The production capacity can be increased by purchasing a new...

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...

In many manufacturing systems, parts must be fed to automatic machines in a specific orientation. This is often accomplished by what are known as part-orienting systems (POSs). A POS consists of one or more separate devices that orient parts, usually with multiple orientations. A theoretical...

This paper presents an asymptotic analysis of hier­archical marketing-production systems with stochastic demand and stochastic production capacity (machines are subject to bre­akdown and repair). Our control variables are advertising and production rates which influence demand and inventory...