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1 Journal of Applied Mathematics and Computational Mechanics

1 2014

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Investigation of G-network with random delay of signals at nonstationary behaviour

Matalytski M., Naumenko V.

Journal of Applied Mathematics and Computational Mechanics

2014

Vol. 13, nr 3

155--166

The object of this research is an open queueing G-network with signals with random delay. The purpose of the research is investigation of such a network at the transient behavior. It is considered the case when the intensity of the incoming flow of positive and negative messages and service intensity of messages do not depend on time. All the systems in the network are one-line. It is described the model of computer system DDoS-attacks, the effect of penetration of the virus in a computer network in the form of G-network with random delay of signals. Approximate expressions are obtained for the time-dependent probabilities of states and the average characteristics of the network. Examples are calculated.