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An inventory system with both delayed and immediate delivery

Published online by Cambridge University Press:  01 July 2016

Peter W. Hovey  and
Peter Purdue
Peter W. Hovey*
Affiliation:
University of Dayton Research Institute
Peter Purdue*
Affiliation:
University of Kentucky
*
∗Postal address: 564 B Kettering Labs., University of Dayton Research Institute, 300 College Park Drive, Dayton, OH 45469, U.S.A.
∗∗Postal address: Department of Statistics, University of Kentucky, Lexington, KY 40506, U.S.A.
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Abstract

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An M/G/∞ queue that is cleared whenever the level Q is exceeded plays the role of the outstanding orders process in an inventory system. The stationary version of the process is examined and an interesting property of the variance is illustrated.

Keywords

INFINITE-SERVER QUEUE
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 15 , Issue 3 , September 1983 , pp. 691 - 694
Copyright
Copyright © Applied Probability Trust 1983 

Footnotes

Research supported in part by NSF Grant No. MCS-8102215-01.

References

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Ross, S. M. (1970) Applied Probability Models with Optimization Applications. Holden-Day, San Francisco.Google Scholar
Stidham, S. (1974) Stochastic clearing systems. Stoch. Proc. Appl. 4, 85–113.Google Scholar
Whitt, W. (1981) The stationary distribution of a stationary clearing process. Operat. Res. 29, 294–308.Google Scholar