Accession Number : AD0683297

Title :   AN ASYMPTOTIC STUDY OF A STATIONARY (SIGMA-S) INVENTORY PROBLEM.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA UNIV GAINESVILLE DEPT OF INDUSTRIAL AND SYSTEMS ENGINEERING

Personal Author(s) : Sivazlian,B. D.

Report Date : JUN 1968

Pagination or Media Count : 40

Abstract : In a multi-commodity periodic review inventory system with proportional costs plus a single set-up cost, the stationary characteristics of the system are studied when demands for each commodity in each period are exponentially and independently distributed and a class of (Sigma-S) policy is followed. The cost structure of the problem is analyzed and explicit analytic solutions are obtained for the optimal values of the decision variables when the order quantities are large. It is also shown that when the number of commodities becomes large, the problem can be decomposed in such a way that each commodity can be treated independently as if operating under an 'order up to' policy. (Author)

Descriptors :   (*INVENTORY CONTROL, DECISION THEORY), STATISTICAL DISTRIBUTIONS, EXPONENTIAL FUNCTIONS, INTEGRAL TRANSFORMS, COMPLEX VARIABLES, PROBABILITY, MULTIPLE OPERATION, COSTS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE