Pe. Labeau, MONTE-CARLO ESTIMATION OF GENERALIZED UNRELIABILITY IN PROBABILISTIC DYNAMICS .1. APPLICATION TO A PRESSURIZED-WATER REACTOR PRESSURIZER, Nuclear science and engineering, 126(2), 1997, pp. 131-145
Probabilistic dynamics offers a general Markovian framework for a dyna
mic treatment of reliability. Monte Carlo simulation appears to be a p
owerful and flexible tool to deal with the high dimensionality of real
istic applications. Yet an analog game turns out to be ineffective for
two main reasons: Very rare events leading to failures are not sample
d enough to obtain a good statistical accuracy, and the equations of t
he dynamics have to be integrated all along each history, which result
s in very large computation times. Recent improvements in Monte Carlo
simulation applied to probabilistic dynamics allow a much faster and m
ore precise estimation of the unreliability of large systems, and they
are illustrated on a pressurized water reactor pressurizer.