La. Baxter et Na. Marlow, CUMULATIVE OPERATING TIME DISTRIBUTIONS FOR A CLASS OF NON-MARKOVIAN SERIES SYSTEMS, Operations research letters, 19(3), 1996, pp. 135-141
Citations number
8
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science
Consider a series system with separately and independently maintained
components. The failure and repair process of each component is assume
d to be an alternating renewal process. It is supposed that, for each
component, the failure time distribution is exponential whereas the re
pair time distribution is general. We derive the Laplace-Stieltjes tra
nsform of the distribution of U-c(T), the cumulative time that the ser
ies system is operating in [c, c + T], for arbitrary c, T greater than
or equal to 0, with respect to T, and obtain the asymptotic distribut
ion of U-c(T) as c, T --> infinity.