Accession Number : AD0710362

Title :   RANDOM INVENTORY MODELS WITH BULK DEMAND AND STATE-DEPENDENT LEADTIMES,

Corporate Author : GEORGE WASHINGTON UNIV WASHINGTON D C PROGRAM IN LOGISTICS

Personal Author(s) : Gross,Donald ; Harris,Carl M. ; Lechner,James A.

Report Date : 22 JUN 1970

Pagination or Media Count : 32

Abstract : The paper describes two one-for-one ordering (S - 1,S) inventory models in which the time required for order replenishment is state dependent. The demand is assumed to follow a compound Poisson distribution, and that portion of the leadtime corresponding to the actual filling of orders is assumed to depend on the number of outstanding orders. Since the orders placed are assumed to go into a single-server queue, queuing results are used to obtain the expected inventory cost as a function of S in order to obtain an optimal value of S. (Author)

Descriptors :   (*REPLACEMENT THEORY, QUEUEING THEORY), STATISTICAL PROCESSES, STOCHASTIC PROCESSES, DISTRIBUTION FUNCTIONS, LEAD TIME, OPTIMIZATION, COSTS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE