Software Tool for Simulation and Calculating Stationary Probabilities and Reliability of a Redundant System with Arbitrary Distributions of Uptime and Repair Time of its Elements

Abstract

With the rapid development and proliferation of computer networks and information technologies, researchers are faced with new complex problems, both applied and theoretical, of studying the reli-ability and availability of networks and data transmission systems. One of them is the reliability study of redundant data transmission systems between devices. One of the main conditions for the stable functioning of the data transmission systems is the insensitivity of their quality and effectiveness to changes in the initial parameters of the model. The analysis of such sensitivity, which is supposed to be carried out as part of this work, is one of the new directions in the research of the next-generation data transmission networks.We consider the simulation model of the repairable data transmission system as a model of a closed homogeneous cold standby system with one repair unit with arbitrary distribution functions of uptime and repair time of its elements.In this paper, we study the system-level reliability using the simulation approach. Also, we obtained the values of the relative recovery speed at which the desired level of reliability is achieved, presented plots of the system failure probability and plots of the uniform difference of the obtained simulation results against the relative speed of recovery. The simulation algorithm was implemented based on the R lan-guage.

Keywords

• simulation
• reliability of redundant systems
• relative recovery rate
• probability of failure-free system operation
• sensitivity
• reliability assessment