Research Reports from the Department of Operations

Document Type

Report

Publication Date

1-1-1966

Abstract

Problems of finding the stationary distribution of inventory level in certain multi product inventory systems are considered. All systems return the inventory level to a single point, S , whenever a restocking occurs. The probability of any inventory level, x , can be expanded in terms of the probability of being at S and the occurrence of a sequence of demands leading from S to x . Combinatoric problems arise naturally in counting demand sequences. Closed form results are given in certain special cases for which the combinatoric results are known. [Likely published circa 1966.]

Keywords

Operations research, Inventory control, Probabilities, Combinatorial probabilities, Demand (Economic theory), Inventory control--Mathematical models

Publication Title

Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University

Issue

Technical memorandum no. 56

Rights

This work is in the public domain and may be freely downloaded for personal or academic use

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