Eugene Lebedev, Hanna Livinska, "On Stationary Regime for Queueing Networks with Controlled Input," WSEAS Transactions on Systems and Control, vol. 16, pp. 9-13, 2017, DOI:
Eugene Lebedev, Hanna Livinska. On Stationary Regime for Queueing Networks with Controlled Input.
WSEAS Transactions on Systems and Control. 2017;16:9-13.
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.
Pages: 9-13 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 16, 2017, Art. #2 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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