Accession Number : AD0728391

Title :   Continuous-Review (s,S) Inventory Models with State-Dependent Leadtimes,

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

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

Report Date : 12 MAY 1971

Pagination or Media Count : 29

Abstract : The paper describes the development of a continuous-review (s,S) inventory model with state-dependent and stochastic leadtimes. The demand on the inventory system is assumed to be a Posson random variable, and order-filling portion of the replenishment leadtime is allowed to depend on the number of outstanding orders (i.e., to be state dependent). The inventory state probabilities which are required in order to optimize the cost function with respect to s and S can be obtained via a queuing analysis on the order-filling process. Orders are assumed to arrive at a single-channel service facility, where the service may be state dependent in either one of two ways. (Author)

Descriptors :   (*INVENTORY CONTROL, MATHEMATICAL MODELS), (*QUEUEING THEORY, STOCHASTIC PROCESSES), DECISION THEORY, DISTRIBUTION FUNCTIONS, RANDOM VARIABLES, INTEGRALS, NUMERICAL ANALYSIS, COSTS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE