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The caudal characteristic curve of queues

Published online by Cambridge University Press:  01 July 2016

Marcel F. Neuts*
Affiliation:
University of Delaware

Extract

Many queues and related stochastic models, and in particular those that have a matrix-geometric stationary probability vector, have steady-state queue-length densities that are asymptotically geometric. The graph of the asymptotic rate η of these densities as a function of the traffic intensity ρ is the caudal characteristic curve. This is an informative graph from which a number of qualitative inferences about the behavior of the queue may be drawn.

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

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