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1
Content available Application of HM-networks with positive and negative heterogeneous requests for finding memory volume in information systems
Matalytski Mikhail, Zajac Pawel, Kopats Dmitry
Journal of Applied Mathematics and Computational Mechanics
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2020
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Vol. 19, nr 1
67--77
EN
To determine the memory volume of information systems (IS), it was proposed to use a stochastic model, based on the use of a queueing network with bypasses, known as an HM-network. This model includes the servicing of heterogeneous requests along with their volumes, the ability to change the volume of such requests with their passage of time and the possibility of finding computer viruses in them, and therefore servicing requests can be interrupted at some random time. The expressions were obtained for the expected total values of the volume of requests in IS nodes.
2
Content available Application of HM-networks with unreliable systems for finding the memory capacity in the information systems
Matalytski M., Zajac P., Kopats D.
Journal of Applied Mathematics and Computational Mechanics
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2018
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Vol. 17, nr 2
51--63
EN
To solve the problem of determining the memory capacity of the information systems (IS), it was proposed to use a stochastic model, based on the use of HM (Howard-Matalytski) - queueing networks with incomes. This model takes into account the servicing of requests along with their volumes, the ability to change the volumes of the requests over time and the possibility of damaging IS nodes and their repairs, so servicing of demands can be interrupted randomly. The expressions are generated for the mean (expected) values of total requests volumes in the IS nodes.
3
Content available Simulation modeling of HM-networks with consideration of positive and negative messages
Naumenko V., Matalytski M.
Journal of Applied Mathematics and Computational Mechanics
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2015
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Vol. 14, nr 2
49--60
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.
4
Content available The analysis of the three-level HM-network and its application for the incomes forecasting of a logistic transport system
Matalytski M., Kiturko O.
Journal of Applied Mathematics and Computational Mechanics
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2014
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Vol. 13, nr 3
141--153
EN
Investigation of the closed three-level HM-network, which is the model of the production transportation in a logistic transport system, is conducted in this article. The approximated expression for the expected income of the central system and the system of the nonhomogeneous differential equations for an average number of messages in network systems, when the incomes from transitions between network’s states are random variables with the set moments of the first two orders, is received. The relation for variance of the income of the central system of network (system of the top level) is also received.
5
Content available Investigation of HM-network with priority messages and depending on time incomes from transitions between its states
Kiturko O., Matalytski M.
Journal of Applied Mathematics and Computational Mechanics
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2013
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Vol. 12, nr 4
67--76
EN
In the article the technique of finding the expected income in multipleline queueing systems closed exponential by HM-network with priority messages in a case when the income from transitions between its states is random variables with known average values is described. The intensity of the service of messages in systems linearly depends on their number. The approached expressions for the expected income, depending on the average numbers of messages in systems are received. For them the system of the linear differential equations with broken right parts is made. The example is calculated.
6
Content available remote Investigation of HM-network with unreliable queueing systems and random incomes
Matalycki M., Statkiewicz S.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2010
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Vol. 9, nr 2
173-192
EN
Expressions for expected incomes and variances in systems of HM (Howard-Matalytski)-queueing network are obtained. Queueing systems are unreliable, service channels in them are exposed to random failure. It is supposed, that service rate of messages, rate of work of serviceable channels and restoration rate of faulty channels depends on messages number in these systems. The case when incomes from transitions between network's states are random variables with the given moments of first two orders is thus considered.
7
Content available remote Application of HM-networks in problems of transport logistics
Matalycki M., Kiturko O., Basiewicz N.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2010
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Vol. 9, nr 2
153-172
EN
The article deals with the technique allowing to estimate and forecast expected incomes, logistics transport systems subjects warehouse squares. The technique is based on application of HM (Howard-Matalytski) - queueing networks with incomes.
8
Investigation of HM-network with limited waiting time in queueing systems
Matałycki M., Pańkow A., Statkiewicz S.
Informatyka Teoretyczna i Stosowana
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2008
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R. 8, nr 13
29-40
EN
Set the difference-differential equations (DDE) for expected incomes in multilinear system of random topology HM (Howard-Matalytski) queueing network (QN) with single type messages are obtained. Incomes from transitions between network states depend on time. In case of the closed networks the method of Laplace transformation is applied to a finding of incomes.
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