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2 Journal of Applied Mathematics and Computational Mechanics

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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

2020

Vol. 19, nr 1

67--77

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.

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

2018

Vol. 17, nr 2

51--63

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.