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2 2011

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Method of finding incomes in HM-Networks with time-dependent intensity of requests service

Matalytski M., Kiturko O., Czhornaja N.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

Vol. 10, nr 2

169-178

The article deals with an HM-network with time-dependent service rates of applications in the systems. The presented methods for finding the expected income systems: the direct method, Laplace transforms, the method of difference scheme, are implemented using the software package Mathematica. Expected earnings are important for solving problems of optimization and control of HM-networks, which are used in practice as stochastic models of various objects in computer technology, insurance, logistics, and medicine.

Finding expected incomes in HM-Network with priority requests and linear time-dependent intensity of their service

Matalytski M., Kiturko O., Czhornaja N.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

Vol. 10, nr 2

179-190

This article describes the system of difference-differential equations for the expected income in HM-network systems with priority requests and the method of its solution by means of difference schemes. Examples of finding the expected income for networks with different number of states are presented.