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1
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.
2
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.
3
Content available remote Optimisation of stochastic model of local computer network with method of branch and bounds
Matalycki M., Koluzaewa K.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2009
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Vol. 8, nr 2
95-104
EN
In article the stochastic model of local computer network (LCN) in queueing network (QN) with one-line systems which are functioning in condition of high load is investigated. Optimization problem of finding optimal channel capacity which minimizes customer's fee for communication service during given time interval is solved. For finding of average number of calls which serve and wait in server queues the method of multidimensional generating functions was used.
4
Content available remote Analysis of HM-networks with stochastic incomes from transitions between states
Matalycki M., Koluzaewa K.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2009
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Vol. 8, nr 2
105-118
EN
In article method of finding of expected incomes in systems of HM-network of arbitrary topology when incomes from transitions between network states are stochastic variables with given mean values is proposed. For expected incomes the system of linear non-homogeneous ordinary differential equations was obtained, to solve it we can find incomes in network systems.
5
Content available remote Analysis and optimization of Markov HM-networks with stochastic incomes from transitions between their states
Matalycki M., Koluzaewa K.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2008
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Vol. 7, nr 2
51-62
EN
Expressions for expected incomes and variations of incomes in systems of Markov HM-networks, when service rates of messages are depending or not depending of network's states are obtained. The case when incomes of transitions between network's states are random variables with the set moments of first two orders is considered. Solution of some optimization problems for HM-networks are resulted.
6
Content available remote Finding of expected incomes in open exponential networks of arbitrary architecture
Matalycki M., Koluzaewa K.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2007
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Vol. 6, nr 1
179-190
EN
Investigation of the open exponential queueing network of arbitrary architecture with incomes is carry out in paper. The incomes of transitions between network's states are random variables with specified moments of two first orders. The expressions for expected incomes and variances of incomes are received.
7
Content available remote Analysis of open queueing network with dependent on time parameters of input flow and servicing
Matalycki M., Pankow A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2006
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Vol. 5, nr 1
140-147
EN
The multivariate generating functions method for obtaining of the open queueing network state probabilities, functioning with heavy load conditions, with dependent on time parameters of input flow and servicing is considered in this paper.
8
Queueing networks with multi-type messages of multiple classes: analysis and applications
Matalycki M., Koluzaewa K.
Informatyka Teoretyczna i Stosowana
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2006
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R. 6, nr 10
19-26
EN
This paper provides the analysis and applications of networks with multi-type messages of multiple classes in systems. The network state is a vector, which components represent the number of messages in queues of the system. We obtained the sufficient conditions of representing the stationary distribution of the process, describing these networks, in the product form of factors characterizing separate systems.
9
Investigation of incomes in Markov network with central system
Matalycki M., Pankov A.
Informatyka Teoretyczna i Stosowana
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2005
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R. 5, nr 8
7-17
EN
Investigation of incomes in Markov network with central system, which could be a model of incomes changing in banking network, bas been dane. Systems incomes erom passages between network' s states depend on time. Set of equations for incomes bas being solved by numerical method. Also asymptotic analysis of incomes on large time period bas being dane.
10
Content available remote The analysis of some models for claim processing in insurance companies
Matalycki M., Romaniuk T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2004
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Vol. 3, nr 1
143--151
EN
In the present paper the analysis of models for claim processing in insurance companies when the total number of insurance contracts may be a function of time is carried out. Closed by the structure queueing networks with bounded time of claims stay in the queues of processing systems serves as models for claim processing.
11
Content available remote On some mathematical problems of claims processing in insurance companies
Matalycki M., Romaniuk T.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2003
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Vol. 2, nr 1
105--119
EN
In the present paper an analysis of models for eqitype and multi-type claims processing, when general number of insurance contracts is function of time, is carried out. The closed queueing networks are the models for claims processing. The problem of optimal number of estimators on definite intervals of time is considered.
12
Content available remote Incomes probabilistic model of the banking network
Matalycki M., Pankow A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2003
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Vol. 2, nr 1
99--104
EN
Investigation of the probabilistic model of incomes change in the banking network is presented. The closed Markov queueing network applies as model.
13
Content available remote Analysis of open queueing networks using method of generating functions
Matalycki M., Gomanczuk S., Pankow A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2002
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Vol. 1, nr 1
143--152
EN
This paper provides the method of generating functions using for calculating the time-dependent state probabilities for open queuing networks in transient regime, when the network works in conditions of peak demand.
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