Stochastic behaviour of a two-unit standby system with two types of repairmen and patience time

Abstract

Stochastic behaviour of a two-unit cold standby redundant system, with two types of repairmen is analysed. The first repairman (usually called “regular” repairman) will always remain with the repair facility, with the known fact that he might not be able to do some complex repair within some tolerable (patience) time. An expert repairman is called to the system if and only if the regular repairman is unable to do the job, within some fixed time or on system failure, whichever occurs first. Techniques of regenerative point processes have been used to obtain various measures of system effectiveness and thereby profit incurred. The time-dependent availability, steady-state availability, reliability, Mean Time To Failure (MTTF), and profit function are obtained numerically and graphs are also drawn.