WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 16, 2017
On Stationary Regime for Queueing Networks with Controlled Input
Authors: ,
Abstract: In this paper stationary properties of queueing network with exponentially distributed service times are investigated provided that an input flow is controlled by a Markov chain. We consider two cases. In the case, where we have one node only, a generating function of a stationary distribution is obtained. The form of the generating function is a matrix version of the Takacs formula. In the second case, a network with service nodes is considered. For a multivariate service process the condition of a stationary regime existence and a correlation matrix are found.