A method for evaluating time-dependent reliability of a structural sys
tem subjected to stochastic loads is presented. Structural deteriorati
on due to environmental stressors is also taken into account. An adapt
ive Monte Carlo simulation procedure combined with conditional expecta
tion is proposed. The optimum common ratio of the standard deviation o
f an importance sampling variables to that of the corresponding origin
al valuables is estimated iteratively as well as their mean values. Un
like systems evaluated by simple Monte Carlo simulations, the accuracy
of the failure probability evaluated by adaptive importance sampling
is relatively insensitive to the magnitude of the probability.