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Analysis of networks with time-dependent transition probabilities and messages bypass between the queuing systems

100%

Matalytski, M. Naumenko, V.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2012 Vol. 11, nr 4 93-104

The object of investigation is an open exponential network with a messages bypass of systems in transient behavior. The purpose of the research is to find stationary probabilities of states and the average characteristics of the network when the transition probabilities between the messages and bypa[...]

Finding incomes of the HM-network with one-type messages bypass of systems

100%

Matalytski, M. Naumenko, V.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2012 Vol. 11, nr 3 111-123

The object of research is an open HM-network with one-type messages bypass of systems in the transient behavior. Two cases are considered: when incomes from transitions between network states are deterministic functions depending on states and time, and network systems are single-line, and when inco[...]

Analysis of the queuing network with messages bypass of systems in transient behavior

100%

Matalytski, M. Naumenko, V.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2012 Vol. 11, nr 2 71-83

The article provides a survey of an open exponential network with a multiline queuing systems (QS) with a bypass service messages in the transient behavior. Messages with some probability join the QS, and with an additional probability to move immediately to another QS or leave the network. The pape[...]

Application of a z-transforms method for investigation of Markov G-networks

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Matalytski, M. Naumenko, V.

Journal of Applied Mathematics and Computational Mechanics

2014 Vol. 13, nr 1 61--73

The purpose of this research paper is to find the expected incomes in open Markov queueing networks with incomes, positive and negative messages at any time by the multidimensional transformations. Investigations were carried out in cases when incomes from the network transitions between the states [...]

Investigation of G-network with signals at transient behavior

100%

Matalytski, M. Naumenko, V.

Journal of Applied Mathematics and Computational Mechanics

2014 Vol. 13, nr 1 75--86

G-queueing network with positive messages and signals at transient behavior is considered. A system of difference-differential equations for the state probabilities of the network is obtained. To find them and the average characteristics of the network a technique was applied based on the use of app[...]

Simulation modeling of HM-networks with consideration of positive and negative messages

100%

Naumenko, V. Matalytski, M.

Journal of Applied Mathematics and Computational Mechanics

2015 Vol. 14, nr 2 49--60

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 [...]

Analysis of the queueing network with a random bounded waiting time of positive and negative customers at a non-stationary regime

100%

Matalytski, M. Naumenko, V.

Journal of Applied Mathematics and Computational Mechanics

2017 Vol. 16, nr 1 97--108

In the first part of the article, an investigation of an open Markov queueing network with positive and negative customers (G-networks) has been carried out. The network receives two exponential arrivals of positive and negative customers. Negative customers do not receive service. The waiting time [...]

Nonstationary analysis of the queueing network with bypass of systems of multi-type and absolute priority messages

100%

Matalytski, M. Naumenko, V.

Journal of Applied Mathematics and Computational Mechanics

2013 Vol. 12, nr 1 93--105

This paper contains an investigation of an open exponential network with bypass of systems of multi-type messages with absolute priority in transient behavior. Messages with priority received by the node with the probability depending on the state system and the type of incoming messages are for ser[...]

Nonstationary analysis of a queueing network with positive and negative messages

100%

Matalytski, M. Naumenko, V.

Journal of Applied Mathematics and Computational Mechanics

2013 Vol. 12, nr 2 61--71

This paper contains an investigation of an open queueing network with positive and negative messages that can be used to model the behavior of viruses in information and telecommunication systems and networks. The purpose of research is investigation of such a network at the transient behavior. We c[...]

Investigation of networks with positive and negative messages, many-lines queueing systems and incomes

100%

Naumenko, V. Matalytski, M.

Journal of Applied Mathematics and Computational Mechanics

2015 Vol. 14, nr 1 79--90

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 [...]

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

100%

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 intensit[...]

Zastosowanie HM-sieci kolejkowych dla wyznaczenia objętości pamięci systemów informacyjnych

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Matalytski, M. Naumenko, V.

Studia Informatica

2014 Vol. 35, nr 3 63--69

PL	Dla rozwiązywania zagadnienia wyznaczenia objętości pamięci stochastycznych systemów informacyjnych (SI) proponowano nowy model matematyczny oparty na zastosowaniu HM (Howard-Matalytski) sieci kolejkowych z dochodami. Wskazany model pozwala na uwzględnienie zależności czasu opracowania komunikatu od[...]
EN	To solve the problem of determining of memory volume of stochastic information (IS) systems of various configurations is proposed to use a new model based on the use of HM-queueing network, which takes into account the relationship between the volume of messages and the time of processing nodes in t[...]

Finding the probabilistically-temporal characteristics of Markov G-network with batch removal of positive customers

80%

Matalytski, M. Naumenko, V. Kopats, D.

Journal of Applied Mathematics and Computational Mechanics

2016 Vol. 15, nr 4 125-136

The investigation of a Markov queueing network with positive and negative customers and positive customers batch removal has been carried out in the article. The purpose of the research is analysis of such a network at the non-stationary regime, finding the time-dependent state probabilities and mea[...]

Analysis of the queueing network with a random waiting time of negative customers at a non-stationary regime

80%

Naumenko, V. Matalytski, M. Kopats, D.

Journal of Applied Mathematics and Computational Mechanics

2016 Vol. 15, nr 3 111--122

In the article a queueing network (QN) with positive customers and a random waiting time of negative customers has been investigated. Negative customers destroy positive customers on the expiration of a random time. Queueing systems (QS) operate under a heavy-traffic regime. The system of difference[...]