Abstract:

Aiming at the repairable system which follows the Weibull distribution of unit’s life as well as the exponential  distribution of the repair time, an improved exponential distribution determination method is proposed to convert the  Weibull distribution to exponential distribution according to the principle of “cumulated failure probability  corresponding”. Then, the spare demand can be calculated approximately by the Markov process theory. According to the  operating process, a simulation algorithm is designed to calculate the supporting probability with given spares based on  extendSim software. The correctness of this algorithm is verified with the example of the Markov system. On this  condition, the paper compares and verifies the results of the two Exponential methods through the orthogonal experiment  design method. The result shows that the improved algorithm can depress the conservativeness of the primary method.