Optimal solutions for the dynamic lot-sizing problem with deterministic demands but stochastic lead times are "lumpy." If lead time distributions are arbitrary except that they are independent of order size and do not allow orders to cross in time, then each order in an optimal solution will...

This paper cautions against using only the equilibrium distribution to describe the behavior of a queue. It is suggested that fluctuations in the queue-length process should also be described, for example, by various first-passage-time distributions. The range of possible fluctuations associated...

A method is developed to calculate an (s, S) policy that minimizes the average stationary cost in an inventory system with: constant lead time, fixed order cost, linear holding cost per unit time, linear penalty cost per unit short, discrete compound Poisson demand, and lost sales. It is assumed...

This paper considers an inventory system which maintains stock to meet both high and low priority demands. This model is suggested by the operation of a spare parts pool in a military depot: high priority demands are those which might result in the grounding of an aircraft, for example, while...

In my recent paper "A Minimax Ordering Policy for the Infinite Stage Dynamic Inventory Problem," Management Sci., Vol. 24, No. 11 (July 1978), pp. 1138-1145, I noticed some errors in the proof of Theorem A.5 in the Appendix which made the proof somewhat incomplete. I have given below a correct...

The marginal cost information needed to implement traditional inventory models is not likely to be available in practice. The most important inventory management issues in practive involve aggregate objectives and constraints while the richest theoretical models deal with single item management....

This paper considers the optimal control of a production system which is composed of two distinct production processes, types A and B, that produce two different products, 1 and 2, having distinct random demands. Production type A produces both products in amounts determined by a fixed set of...