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Periodic steady state of loss systems with periodic inputs

Part of: Stochastic processes

Published online by Cambridge University Press:  01 July 2016

Helmut Willie
Helmut Willie*
Affiliation:
Deutsche Telekom
*
∗ Postal address: Deutsche Telekom AG, Research and Technology Center, Postfach 100003, D-64276 Darmstadt, Germany.
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Abstract

The input of a multiserver loss system is assumed to be a periodic random marked point process which has, with probability one, infinitely many construction points. It is shown that, independently of the initial distribution, there exists a unique periodic process modeling the periodic steady-state behaviour of the loss system. In addition, practical sufficient conditions for the existence of enough construction points are derived.

Keywords

Loss systemperiodic random marked point processperiodic steady stateconstruction pointτ-ergodic input

MSC classification

Secondary: 60G55: Point processes
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 30 , Issue 1 , March 1998 , pp. 152 - 166
Copyright
Copyright © Applied Probability Trust 1998 

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