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THE MATHEMATICAL MODEL OF COMPUTER NETWORKS’ RELIABILITY

https://doi.org/10.21683/1729-2646-2013-0-4-18-43

Abstract

The paper has investigated mathematical models of the reliability of LAN with an arbitrary topology and recoverable components, with the analysis allowing to obtain the ratios of probabilities of data loss in a network, a failure probability and expectation of time to failure of a network’s components, without any assumptions about the laws of distribution of random variables. It has also offered the model for accounting multiple failures of network components.

About the Authors

A. I. Pereguda
Obninsk Institute of Atomic Energy, National Research Nuclear University MIFI
Russian Federation
Professor, Doctor of Technical Sciences


A. A. Pereguda
Obninsk Institute of Atomic Energy, National Research Nuclear University MIFI
Russian Federation
Senior Lecturer


D. A. Timashev
I-Teco
Russian Federation
PhD Engineering, developer


References

1. Bogatyorev V.A. The reliability and efficiency of the redundant computer networks // Information technologies. – 2006. – # 9.

2. PeregudaA.I.,Tverdohlebov P.E. A mathematical model of reliability of LAN for client-server computational network architecture with an arbitrary structure / / Information Technology. – 2007. – #1.

3. Pereguda A.I., Timasheff D.A. A mathematical model of reliability of the local area computation network / / Information Technology. – 2008. – # 10. – p.7-15

4. Ostrovsky E.I., Pereguda A.I. The optimum cycle control with the recovery / / Proceedings of the USSR Academy of Sciences – # 3. – S.198 – 201

5. Pereguda A.I., Timasheff D.A. Mathematical Model of the automated processing facility “to protect the system security” with recoverable components and periodic monitoring of the security / / Trans. Nuclear Energy – 2007. – № 3 – p.101-109.

6. Bayhelt F., Franken P. Reliability and maintenance, the mathematical approach: Trans. from German. – M.: Radio and Communications, 1988. – 392 p.


Review

For citations:


Pereguda A.I., Pereguda A.A., Timashev D.A. THE MATHEMATICAL MODEL OF COMPUTER NETWORKS’ RELIABILITY. Dependability. 2013;(4):18-43. https://doi.org/10.21683/1729-2646-2013-0-4-18-43

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ISSN 1729-2646 (Print)
ISSN 2500-3909 (Online)