Ma. Wortman et al., MAINTENANCE STRATEGY FOR SYSTEMS SUBJECTED TO DETERIORATION GOVERNED BY RANDOM SHOCKS, IEEE transactions on reliability, 43(3), 1994, pp. 439-445
We examine the time-stationary availability of maintained systems that
deteriorate according to a random-shock process. System failures are
not self-announcing; hence, failures must be detected via inspection.
Our approach considers randomly occurring shocks that cumulatively dam
age the system; shock magnitudes are taken as random. We develop an ex
pression for computing system availability when inspections follow a r
enewal process. This expression leads to a proved proposition showing
that, for any specified mean inspection rate, system availability is m
aximized by choosing deterministic inter-inspection times.