Showing papers by "Volker Schmidt published in 1989"
TL;DR: An overview of relationships between time- and customer-stationary distributions of queueing processes and the property of EPSTA, a necessary and sufficient condition is established for the coincidence of the two types of stationary distributions, using conditional intensities.
Abstract: In the first part of this paper we present an overview of relationships between time- and customer-stationary distributions of queueing processes. These have been proved by using the properties of random marked point processes, stochastic processes with embedded point processes, Palm distributions and an intensity conservation principle. In the second part a necessary and sufficient condition is established for the coincidence of the two types of stationary distributions, using conditional intensities. We also formulate the property of EPSTA that includes PASTA and ASTA as particular cases. A further result concerns the conditional EPSTA property. Applications to particular queueing systems are considered.
20 citations