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...

We consider a finite-horizon control model with additive input. There are two convex functions which describe the running cost and the terminal cost within the system. The cost of input is proportional to the input and can take both positive and negative values. It is shown that there exists a...

This paper briefly reviews the literature on necessary optimality conditions for optimal control problems with state-variable inequality constraints. Then, it attempts to unify the treatment of linear optimal control problems with state variable inequality constraints in the framework of...

This paper presents an asymptotic analysis of control models governed by stochastic ordinary differential equations. A sufficient condition of near-optimal controls is given based on Ekeland's principle. It is shown that, under some concavity assumptions, the e-maximum condition in terms of the...

This paper obtains decision and forecast horizons for undiscounted, continuous time one dimensional control systems. Some general conditions for the existence of horizons arising from the constraints imposed on the system are derived by using the optimality principle. These conditions are...

This paper considers a dynamic lot sizing problem faced by a producer who supplies a single product to multiple customers. Characterized by their backorder costs as well as shipping costs, a customer with a high backorder cost has a greater need for the product than a customer with a low...

Consider a customer X, who wishes to obtain service at a queueing system. When X arrives at this system, he has three possible courses of action to choose from, i) join the system; ii) not to join the system now, but return later after a random amount of time; or iii) to leave without obtaining...

We consider continuous-review, single-product, production-inventory systems with a constant replenishment rate, Lévy demand, and general inventory holding cost and lost-sales penalty. The Lévy demand encompasses various demand dynamics used in the inventory literature. We obtain the optimal...

Fixed costs of ordering items or setting up a process arise in many real-life scenarios. In their presence, the most widely used ordering policy in the stochastic inventory literature is the (s, S) policy. Optimality of (s, S) policies and (s, S)-type policies have been investigated for various...