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 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...

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 planning in a stochastic manufacturing system consisting of machines that are subject to breakdown and repair. The system produces a single product whose rate of demand over time is constant. The problem is formulated...

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...

The paper is concerned with the problem of optimal production planning in deterministic pull flow lines with multiple products. The objective is to specify the production policy that minimizes the total inventory and backlog costs overtime. Assuming constant product demands and non-decreasing...

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...