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New results for the Jackson network

Published online by Cambridge University Press:  01 July 2016

William A. Massey
William A. Massey*
Affiliation:
Bell Laboratories, Murray Hill
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Extract

Using operator methods, we prove a general decomposition theorem for Jackson networks. For its transient joint queue-length distribution, we can stochastically bound it above by a network that decouples into smaller independent Jackson networks.

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 7
Copyright
Copyright © Applied Probability Trust 1984 

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