A New Formulation on Seismic Risk Assessment for Reinforced Concrete Structures with Both Random and Bounded Uncertainties

Table 6

Results with N₁=3 and N₂=4 by different methods.

Numerical; methods	Failure probabilities in 50 years for different limit states				Function; calls	Relative; erro
	NO level	IO level	LS level	CP level
MCS	4.39%	0.95%	0.0892%	0.0355%		-
ALK-MGHAR	4.376%	0.946%	0.0880%	0.0354%	65	0.342%
MPM	2.858%	0.618%	0.0633%	0.0230%	321	34.89%
SLI	2.898%	0.627%	0.0636%	0.0234%	163	33.97%

: calculated relative error under CP level.