A comparison of optimal solutions of single-item inventory systems for the three classical policies tZ, sq, and sZ shows that the optimal order levels in the tZ and sZ policies are usually the same, and so are the optimal reorder points in the sq and sZ policies. The total cost for each of the...

The optimal decisions and costs of several inventory systems with the s, S policy are presented showing how they are affected by different distributions of demand, different shortage costs and different leadtimes. The numerical results seem to imply that in many cases the optimal decisions...

In an earlier paper ("Some Models of Inventory and an Application", Management Science, Vol. 2, No. 4, July, 1956) the author analyzed four inventory systems which were referred to as Models I, II, III, IV. In the present paper the notion of equivalence of inventory systems is introduced and it...

This paper is concerned with two topics: (1) the development of mathematical models for several simple inventory situations, and (2) an industrial application of a mathematical model of inventory. Because T. M. Whitin has described in detail in this journal the present state of research in...

Heuristic decision rules for the s, S policy in probabilistic inventory systems are proposed. The rules require only the knowledge of the mean and standard deviation of demand, probability of no demand, carrying and replenishing costs, desired availability, and leadtime. Numerical results are...