Analysis of Steady State Availability of a Series– Parallel Repairable System with Hot Standbys, Three Units and Vacation

Abstract: In this paper we analyze the steady state availability of a series-parallel repairable system. In this system, the first unit is master control unit and other two are slave units and one single repairman who operates single vacation. Under that assumption each unit has arbitrary repair time distribution & a constant failure rate. Also, it is noted that to calculate the availability of the system it is required to obtain the explicit expression and for obtaining steady-state probabilities it is necessary to use “the supplementary variable” method as well as “Markov process theory”.