Path analysis for mtsf & availability of a three unit standby stochastic system

To evaluate easily and quickly, the key parameters of a stochastic system for its profit/cost analysis, has always remained the need of the hour. With the increase in the number of the states in the state-space of a stochastic system, it becomes very cumbersome and more difficult to find the MTSF, availability and other key parameters of the stochastic system, using the various methods for reliability and availability analysis. Also while using the Regenerative Point Technique (RPT), many state equations, has to be written and solved recursively after taking Laplace/Stieltjes transforms of these state equations and then applying the concepts of limits takes a lot of time. To overcome this difficulty, Gupta [3] introduced a new approach known as Regenerative Point Graphical Technique(RPGT), for finding quickly the key parameters of the system (under steady state conditions).In this paper, the path analysis of a three unit stand-by stochastic system (in which initially, two units are operative along with the third similar unit in cold stand-by mode and concept of two types of failures (minor/major) and two types of repairing facility using ordinary/expert servers) has been done to determine the MTSF and availability of the system using RPGT.