The stationary distribution invariance of states in a closed queueing network with temporarily non-active customers

Automation and Remote Control - Tập 73 Số 10 - Trang 1616-1623 - 2012
Yu. S. Boyarovich1
1Skorina State University, Gomel, Belarus

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Tsitsiashvili, G. and Osipova, M., Queueing Models with Different Schemes of Customers Transformations, Proc. Int. Conf. “Mathematical Methods for Increasing Efficiency of Information Telecommunication Networks,” Grodno, 2007, no. 19, pp. 243–246.

Malinkovsky, Yu. and Bojarovich, J., An Open Queueing Network with Partly Non-active Customers, Proc. Int. Conf. “Modern Probabilistic Methods for Analysis and Optimization of Information and Telecommunication Networks,” Minsk, 2011, no. 21, pp. 34–37.

Boyarovich, Ju.S., Stationary Distribution of a Network with Different Types of Customers and Unreliable Requirements, in Teoriya veroyatnostei, matematicheskaya statistika i ikh prilozheniya (Probability Theory, Mathematical Statistics and Applications), Minsk: Belarus. Gos. Univ., 2009, pp. 14–20.

Gordon, W.J. and Newell, G.F., Closed Queueing Networks with Exponential Servers, Oper. Res., 1967, no. 15, pp. 252–267.

Gnedenko, B.V. and Kovalenko, I.N., Vvedenie v teoriyu massovogo obsluzhivaniya (Introduction to Queueing Theory), Moscow: KomKniga, 2005.

Ivnitskii, V.A., On the Stationary Invariance Condition for Queueing Networks, Teor. Veroyat. Primen., 1982, vol. 27, no. 1, pp. 188–192.

Starovoitov, A.N., The Stationary Distribution Invariance of States in Networks with Multiple-mode Service Strategies, Probl. Peredachi Inf., 2006, vol. 42, no. 4, pp. 121–128.

Sevast’yanov, B.A., The Limit Theorem for Markov Processes and Its Application to Telephone Systems with Failures, Teor. Veroyat. Primen., 1957, vol. 2, no. 1, pp. 106–116.