In this paper we give some extensions of a result of Nevison and Burstein (Nevison, C. H., M. Burstein. 1984. The dynamic lot-size model with stochastic lead times. Management Sci. 30 100--109.), who discuss a dynamic lot-sizing model with stochastic lead times. They consider a situation in...

The paper deals with a nonconvex, bivariate minimization problem arising in a heuristic inventory model of Hadley and Whitin (Hadley, G., T. M. Whitin. 1963. Analysis of Inventory Systems. Prentice-Hall, Inc., Englewood Cliffs, NJ.). An approach is suggested whereby the existence and uniqueness...

We consider the problem of setting safety stock when both the demand in a period and the lead time are random variables. There are two cases to consider. In the first case the parameters of the demand and lead time distributions are known; in the second case they are unknown and must be...

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 presents a model of an (s, S) inventory system in which there are two priority classes of customers. The model treats excess demands as lost sales and can accommodate an arbitrary deterministic lead time. After considering the associated Markov-chain model, an approximate,...

This paper extends recent results of Baker et al. (Baker, K. R., M. J. Magazine, H. L. W. Nuttle. 1986. The effect of commonality on safety stocks in a simple inventory model. Management Sci. 32 982--988.) in understanding the impact of component commonality on stocking levels under service...

The coordinated multi-item inventory problem refers to the problem of managing inventories where there is a joint fixed cost for replenishing plus an item-by-item fixed cost for each item included in the replenishment order. Given that the optimal solution is likely to be too complex, attention...

We formulate a stochastic-demand version of the single-stage lot-sizing problem with time-varying demand, incorporating a service-level constraint on the probability of a stockout. Three strategies are studied. The "static uncertainty" strategy, in which lot-sizing decisions for every period...

In this paper we consider a single product multi-period inventory problem for which the penalty cost consists of two parts, a lump-sum portion which is independent of the size of the shortage and a portion which is linear in the size of the shortage. We show that for all nonincreasing demand...

This paper examines a two-level distribution system consisting of a central warehouse (CW) supplying several branch warehouses (BW's), which, in turn, supply normally-distributed customer demands in a periodic-review environment. The CW replenishes system inventory using a base-stock...