We deal with a single or parallel machine manufacturing system with convex cost of holding and backlogging and develop a new rigorous analysis to address the problem. We provide the results needed for the vanishing discount approach used for aour analysis. In particular, we show that one can go...

The paper is concerned with the reduction of a class of stochastic optimal control problems to simpler problems by using decomposition and aggregation. Decomposition is shown to provide a good approximation when the system dynamics involve nearly decomposable matrices or variables with strong...

This paper presents an extension of earlier research on heirarchical control of stochastic manufacturing systems with linear production costs. A new method is introduced to construct asymptotically optimal open-loop and feedback controls for manufacturing systems in which the rates of machine...