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On Niu&s conjecture for tandem queues

Published online by Cambridge University Press:  01 July 2016

Betsy S. Greenberg
Betsy S. Greenberg*
Affiliation:
University of Texas, Austin
*
∗Postal address: Department of Management Science and Information Systems, The University of Texas at Austin, CBA 5.202, Austin, TX 78712–1175, USA.
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Abstract

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We show that Niu&s (1980) conjecture is true for Poisson arrivals and light traffic. We also show that a weak version of the conjecture is true for a special case in heavy traffic.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 19 , Issue 3 , September 1987 , pp. 751 - 753
Copyright
Copyright © Applied Probability Trust 1987 

References

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Niu, Shun-Chen (1980) Bounds for the expected delays in some tandem queues. J. Appl. Prob. 17, 831–838.Google Scholar
Wolff, R. W. (1982) Tandem queues with dependent service times in light traffic. Operat. Res. 30, 619–635.Google Scholar