A Simple Model Applicable in Structural Reliability, Extinction of Species, Inventory Depletion, and Urn Sampling. II. System Lifelength.

摘要

This paper deals with a series-parallel system consisting of k subsystems in series, subsystem i containing n(i) components in parallel (denoted C(i) and called cut set i), i=1,...,K. After any component in the system fails, the next component failure is equally likely to be any of the components in the system still functioning. In this document the probability distribution, frequency function, and failure rate of the lifelength of series-parallel systems are computed, as are corresponding recurrence relations and finite and asymptotic properties.