Title :
Toward a deeper understanding of the availability of series-systems without aging during repairs
Author :
Schneeweiss, Winfrid G.
fDate :
3/1/2005 12:00:00 AM
Abstract :
It is shown in detail that the steady-state availability of a series-system with no aging of components during the repair of another one can be interpreted as a conditional probability of the well-known s-independent case conditioned on allowing for at most one failed component at any time. Trivially, this conditional probability is larger than the standard probability, viz. the product of all components´ probabilities. Yet it can be shown that also without this new interpretation of the formula for the availability of a series-system without aging during repairs it is exceptionally easy to prove the fact that by no aging during repairs, the availability of series-systems increases; a most plausible result.
Keywords :
failure analysis; maintenance engineering; probability; reliability theory; series (mathematics); component aging; component probability; conditional probability; repair; s-dependence; series-system availability; standard probability; steady-state availability; Absorption; Aging; Algebra; Equations; Steady-state; Aging; conditional probability; s-dependence; series-system availability;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2004.842086