Solving the Problem of Determining the Maximum Fault Tolerance of Distributed Information Processing Systems with a Limit on Their Reactivity

Abstract

The use of exponential Queuing networks for calculating the reliability characteristics of distributed in-formation processing systems is proposed. This allows you to naturally tie the reliability characteristics of the system (failure rates) with its technical and operational characteristics (the average response time of the system to user requests). And also reduce the problem to calculating stationary probabilities of Queuing network States. The article formulates and solves the optimization problem of finding the maximum fault tolerance of distributed information processing systems implemented on the basis of a two-level and three-level client-server architecture with a fixed value of the average system response time to user requests. The problem of determining the fault tolerance indicators of distributed information processing systems is reduced to the problem of deter-mining the stationary probabilities of Queuing network States. The article presents the results of numerical ex-periments. The analysis of the obtained results shows the prospects of using these models to obtain estimates of the reliability characteristics distributed information processing systems in various subject areas.