Calculation algorithm of workload of telecommunication network with repetitive transmissions

Ya. M. Agalarov

Institute for Problems of Informatics RAS

Abstract: The models of packet switching network with repetitive transmissions for two schemes of buffer memory distributions — complete sharing and complete partitioning — are considered. The iterative method of calculation of stream intensity in network and probabilities of node blocking where node model is the queueing system of type $\begin{matrix} M \\ \vec{\lambda} \end{matrix} \bigg| \begin{matrix} M \\ \vec{\lambda} \end{matrix} \bigg| \vec{m} | N$ is proposed. The necessary condition for existence of solution of stream balance conservation equations in steady-state regime was established. The monotone convergence of stream intensities sequence and probabilities of blocking derived in the proposed method to the solution of these combined equations was proved.

Keywords: network of packets switching; buffer memory; repetitive transmissions; probabilities of blocking; iteration method.