A STUDY OF RELIABILITY INDICATORS OF LOCAL COMPUTER NETWORKS BY MEANS OF A MATHEMATICAL MODEL

Sakash Irina Yurievna

The need for high -quality work of information transmission networks requires the creation of mathematical models for calculating the reliability parameters of their functioning. The operation of mass service using the Markov process, which has an integer number of states, is implemented for this. The work of a local computer network, which includes various switches, is presented as a closed mass service system with waiting. The mathematical model for the analysis of the reliability of technical equipment, which contains formulas that evaluate the integrated indicators of the stable operation of the observed device, was formed. An example of a three -level network, which has two nucleus switches, two distribution switches and three access switches, is demonstrated. Modification of the components of a local computer network, which have the opportunity to appear hardware failures, is used. [4, 10] The reduction in the calculation time in the model occurs due to calculations on simpler analytical expressions and due to the lack of the need to calculate the probability of finding a mass service system in all possible conditions. The results obtained with this model are presented. They help improve the reliability of the hardware structure of local computer networks during their design, as well as when improving existing technical systems.

Keywords:local network reliability, probability, reliability model, Markov model, Kolmogorov-Chapman equation system