Accession Number : AD0612716

Title :   OPTIMAL POLICY IN A DYNAMIC, SINGLE PRODUCT, NONSTATIONARY INVENTORY MODEL WITH SEVERAL DEMAND CLASSES,

Corporate Author : STANFORD UNIV CALIF DEPT OF INDUSTRIAL ENGINEERING

Personal Author(s) : Veinott,Arthur F. ,Jr.

Report Date : 02 MAR 1965

Pagination or Media Count : 38

Abstract : A multiperiod single product nonstationary inventory problem is studied in which the system is reviewed at the beginning of each of a sequence of periods of equal length. The model has the following features. There are several classes of demand for the product in each period. The demands in different periods are independent but not necessarily identically distributed. The cost structure is nonstationary with the ordering cost being proportional to the amount ordered. Conditions are given that ensure that the base stock ordering policy is optimal and that the base stock levels in each period are easy to calculate. The results are based on earlier work of the author and on properties of stochastically ordered distributions that are developed in the paper. The case of a linear holding cost and a linear storage cost is studied in detail. (Author)

Descriptors :   (*INVENTORY ANALYSIS, OPTIMIZATION), (*STOCHASTIC PROCESSES, INVENTORY ANALYSIS), DYNAMIC PROGRAMMING, MATHEMATICAL MODELS, OPERATIONS RESEARCH, MANAGEMENT PLANNING AND CONTROL, INVENTORY CONTROL, COSTS

Distribution Statement : APPROVED FOR PUBLIC RELEASE