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Stochastic monotonicity in general queueing networks

Published online by Cambridge University Press:  14 July 2016

J. George Shanthikumar  and
David D. Yao
J. George Shanthikumar*
Affiliation:
University of California, Berkeley
David D. Yao*
Affiliation:
Harvard University
*
∗ Postal address: School of Business Administration, University of California, Berkeley, CA 94720, USA.
∗∗ Postal address: Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA.
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Abstract

We develop a representation for general queueing networks, and study some stochastic monotonicity properties that have been previously established in Jackson networks (e.g. Shanthikumar and Yao (1986), (1987)).

Keywords

COUPLINGNETWORKS OF QUEUES
Type
Short Communications
Information
Journal of Applied Probability , Volume 26 , Issue 2 , June 1989 , pp. 413 - 417
Copyright
Copyright © Applied Probability Trust 1989 

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References

Adan, I. and Van Der Wal, J. (1987) Monotonicity of the Throughput of an Open Queueing Network in the Interarrival and Service Times. Memo COSOR 87–05, Faculty of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands.Google Scholar
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