Stationary Mode and Binomial Moments for Networks of the Type [SM|GI|∞] r |
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Authors: | Lebedev E. O. |
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Affiliation: | (1) Shevchenko Kiev University, Kiev |
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Abstract: | By using methods of the Markov renewal theory, we find conditions for the existence of a stationary mode for multichannel networks with semi-Markov input stream. As a tool of stationary distribution analysis, we introduce multivariate binomial moments and investigate their asymptotic properties. For a multichannel queuing system with periodic input stream, we construct the generating function of the stationary distribution in explicit form in terms of the parameters of the system under consideration. |
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