STOCHASTIC-ANALYSIS OF A GENERAL STANDBY SYSTEM WITH CONSTANT HUMAN ERROR AND ARBITRARY SYSTEM REPAIR RATES

This paper presents a mathematical model for performing reliability an d availability analyses of a general standby system with constant huma n error and common-cause failure rates. In addition, system repair tim es are assumed arbitrarily distributed. Markov and supplementary varia ble techniques were used to develop equations for the model. The metho d of linear ordinary differential equation is developed to obtain the general expressions of the steady state availability. The Laplace tran sform technique was used to obtain the system time-dependent availabil ity, reliability and mean time to failure expressions.