Mathematical Modeling of Fault-Tolerance of the Information Systems

Abstract

The article deals with the problem of reliability of information systems, in order to solve this problem, a method for assessing the fault tolerance of data transmission systems using the apparatus of mathematical modeling of fault-tolerant systems with three levels of operation was introduced. Also the mathematical model in the form of a graph of states and the probability of failure with a system of differential equations for its description was formulated. The solution of mathematical model allows to obtain the probability of failure at different levels of functioning of information systems in order to detect and find faults and equipment failures.