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Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
EN 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[...]
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Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
EN 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[...]
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Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
EN 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[...]
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Journal of Applied Mathematics and Computational Mechanics
EN 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 [...]
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Journal of Applied Mathematics and Computational Mechanics
EN 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[...]
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Journal of Applied Mathematics and Computational Mechanics
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 [...]
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Journal of Applied Mathematics and Computational Mechanics
EN 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 [...]
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Journal of Applied Mathematics and Computational Mechanics
EN 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[...]
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Journal of Applied Mathematics and Computational Mechanics
EN 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[...]
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Journal of Applied Mathematics and Computational Mechanics
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 [...]
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Journal of Applied Mathematics and Computational Mechanics
2014 Vol. 13, nr 3 155--166
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 intensit[...]
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Studia Informatica
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[...]
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Journal of Applied Mathematics and Computational Mechanics
EN 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[...]
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Journal of Applied Mathematics and Computational Mechanics
2016 Vol. 15, nr 3 111--122
EN 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[...]
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