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Some comments on the cross-correlation of two processes arising from thinning a point process, with an application to queueing networks

Published online by Cambridge University Press:  01 July 2016

Ralph L. Disney
Affiliation:
Virginia Polytechnic Institute and State University
Jagadeesh Chandramohan
Affiliation:
Case Western Reserve University

Extract

Queueing networks continue to be of both theoretical interest and applied interest. One of the operations performed on a point process, representing customer flows in the network, thins a given process into two (or more) subprocesses each of which may thereafter be the arrival process to subsequent servers. A fair amount is known about the properties of each subprocess.

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Copyright
Copyright © Applied Probability Trust 1984 

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