In this paper, we consider a supply-chain model consisting of a single product, one supplier, and multiple retailers. Demand at the retailers is random, but stationary. Each retailer places her orders to the supplier according to the well-known (Q,R) policy. We assume that the supplier has...

In this paper we consider an (S - 1, S) inventory system with Poisson demand and constant resupply times. An arriving customer facing stockout will either backorder or withdraw its order. Expressions describing steady state operating characteristics of the system and the expected total cost rate...

In multi-echelon repairable inventory systems with high set-up cost for order and/or high demand rates, the use of batch ordering may be more cost-effective than the common (S - 1, S) ordering policy. This paper addresses the issue of determining the optimal order batch size and stocking levels...

In this paper we study an unreliable bottleneck production/inventory system with a constant production and demand rate that is subject to random disruptions. We assume that the restoration times are constant, the time between breakdowns is exponential, the production setup cost and/or setup time...

In this paper we develop an approximate model of an inventory control system in which there exist two options for resupply, with one having a shorter lead time. Because the optimal policy appears to be extremely complex, we consider a reasonable extension of the standard (Q, R) policy to allow...

This paper considers the long run, profit maximizing strategy of a distributor that holds a good (good 1) in inventory for immediate delivery and that offers a second good (good 2) for delayed delivery. When the two goods are substitutes, an out-of-stock situation for good 1 will cause some...