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An asynchronous double stochastic flow with initiation of superfluous events

  • A. M. Gortsev und L. A. Nezhelskaya
Veröffentlicht/Copyright: 15. Juli 2011
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Discrete Mathematics and Applications
Aus der Zeitschrift Band 21 Heft 3

Abstract

We consider an asynchronous double stochastic flow with initiation of superfluous events (a generalised asynchronous flow), which is a mathematical model of information flows in computer networks, communication systems, etc. We study the stationary mode of the flow. We find the probability density p(τ) of the length of the interval between events in the flow and the joint probability density p(τ1, τ2) of the lengths of two neighbouring intervals. We show that the generalised asynchronous flow is a correlated flow in the general case. We find conditions for the flow to become recursive or to degenerate into an elementary one.

Received: 2007-12-14
Published Online: 2011-07-15
Published in Print: 2011-July

© de Gruyter 2011

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