I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1996, VOLUME 2, NUMBER 4, PAGES 1101-1105
On bounds for the pointwise availability of a repairable component
I. N. Kovalenko
View as HTML
View as gif image
An alternating renewal process is considered with d.f.
up-phases and down-phases, respectively.
It is assumed that an up-phase starts at the point .
the up-state probability at time .
Assume that , the mean duration
of an up-phase equals 1 whereas that for a down-phase
Introduce the function by the relation
Let then , .
It is proved that under a mild assumption for any non-exponential
distribution the equality
as r →
cannot hold for every positive and .
Last modified: March 19, 2005