Analytical Analysis Method for Number of Spare Parts of Typical Systems

Series system, parallel system, r-out-of-n system and sequence system are typical in the engineering. Under the assumption that the repair time is negligible and the unit life has the identical exponential distribution, the analytical calculating method for failure probability and availability of the repairable typical system is proposed. The analytical calculating method has avoided the redundant Monte-Carlo simulation and computation, and has explicit physical meaning and high computational accuracy which is convenient for engineering application. The paper provides the practical method for determining the number of the spare parts of the typical system in engineering.