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EN
In the article an open Queueing Network (QN) with positive and negative messages and incomes, which can be used in modeling of the behavior of viruses at the Information Systems and Networks (ISN), and also at forecasting costs taking into account virus penetration, was analyzed. Some numerical and analytical results were described on the analysis of exponential QN of the above type. It was given an algorithm of simulation modeling (SM) of HM-networks with positive and negative messages, based on the 0-point, which allows you to find incomes in such networks with arbitrary distribution of service times of positive messages. The results of the SM have been compared with the proposed analytical and numerical results. Sufficiently high accuracy of these methods was shown.
EN
The analysis of an open Markov Queueing Network with positive and negative messages, many-lines queueing systems and incomes has been carried out. External arrivals to the network, service times of rates and probabilities of messages transition between queueing systems (QS) depend on time. A method for finding the expected incomes of the network systems, the expressions for the average number of messages at the systems has been proposed.
EN
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.
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