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EN
This paper provides the analysis of the above-mentioned networks with multi-type messages and systems with multiple queues. There the network stale is a vector, which components represent the number of messages in queues of the systems. We obtained the sufficient conditions of representing the stationary distribution of the process, describing this networks, in the product of factors characterizing separate systems.
EN
This paper provides an approximate numerical method of calculating of the time-dependent state probabilities of Markovian queueing networks, which can be used as models of various kinds of computer systems and networks. We consider queueing networks with multi channel devices and multi-type messages. The specified method is based on successive approximations idea for the set of difference-differential Kolmogorov equations, the state probabilities satisfy, combined with numeric series analyzing methods. We examined the successive approximations features and, as an example, we applied ibis method for calculating the state probabilities for two types of queueing networks: priority-service discipline network and the network with limited waiting time in queues.
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