This paper presents an asymptotic analysis of a stochastic manufacturing system consisting of parallel machines subject to breakdown and repair and facing a constant demand, as the rates of change of the machine states approach infinity. This situation gives rise to a limiting problem in which...

We are interested in obtaining rates of production of intermediate parts and finished products in a manufacturing system consisiting of a network of machines. The objective is to meet demand for finished products at the minimum possible total discounted cost of production, inventories, and...

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...

We consider a problem of controlling the production rate of a single machine, single product, stochastic manufacturing system in order to minimize the total discounted inventory /backlog costs. The demand has two components: one is deterministic with constant rate d and the other is stochastic...

This paper is concerned with explicit optimal control for a deterministic manufacturing system consisting of a single reliable machine and producing two part types studied by Connolly (Master Thesis, Operations Research Center, MIT, Cmbridge, 1992) and Gershwin (Manufacturing Systems...

This paper is concerned with near-optimal control of manufacturing systems consisting of two unreliable machines in tandem and having the objective of minimizing the total discounted cost of inventories/shortages over an infinite horizon. Asymptotic optimal feedback controls are constructed with...

This paper presents an extension of earlier research on hierarchical control of stochastic manufacturing systems with long-run average cost in which a positive inventory deterioration/cancellation rate for each product is assumed. Here we drop the assumption of the positive inventory...

This paper is concerned with an asymptotic analysis of hierarchical production and setup scheduling in a stochastic manufacturing system consisting of a single failure-prone machine and facing constant demands for a number of products. At any given time the system can only produce one type of...

This paper presents an asymptotic analysis of hierarchical manufacturing systems with stochastic demand and machines subject to breakdown and repair as the rate of change in machine states approaches infinity. This situation gives rise to a limiting problem in which the stochastic machine...

This paper presents an asymptotic analysis of hierarchical production planning in a manufacturing system with serial machines that are subject to breakdown and repair, and with convex costs. The machines capacities are modeled as Markov chains. Since the number of parts in the internal buffers...