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Inequalities with application in retail inventory analysis

Published online by Cambridge University Press:  14 July 2016

Robert A. Agnew*
Affiliation:
Montgomery Ward & Co., Chicago, Illinois

Abstract

Simple bounds on service level and turnover velocity are obtained for a periodic-review inventory system with a stationary order-up-to-level stocking policy and no backordering. Exact computational formulas are given for Poisson demand. An illustrative numerical example is presented, and the application of these bounds to retail inventory analysis is discussed.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Agnew, R. A. (1968) Transformations of Uniform and Stationary Point Processes. Unpublished doctoral dissertation, Northwestern University.Google Scholar
[2] Çinlar, E. (1968) On the superposition of m-dimensional point processes. J. Appl. Prob. 5, 169176.Google Scholar
[3] Çinlar, E. (1972) Superposition of point processes. Stochastic Point Processes (Ed. Lewis, P.) pp. 549606. Wiley, New York.Google Scholar
[4] Çinlar, E. (1975) Introduction to Stochastic Processes. Prentice-Hall, Englewood Cliffs, New Jersey.Google Scholar
[5] Feller, W. (1968, 1971) An Introduction to Probability Theory and its Applications , Vol I (3rd ed.) and II (2nd ed.). Wiley, New York.Google Scholar
[6] Hadley, G. and Whitin, T. M. (1963) Analysis of Inventory Systems. Prentice-Hall, Englewood Cliffs, New Jersey.Google Scholar
[7] Khintchine, A. Y. (1960) Mathematical Methods in the Theory of Queueing. Griffin, London.Google Scholar
[8] Prabhu, N. U. (1965) Stochastic Processes. Macmillan, New York.Google Scholar
[9] Ross, S. M. (1970) Applied Probability Models with Optimization Applications. Holden-Day, San Francisco.Google Scholar