A refined subset simulation for the reliability analysis using the subset control variate

Equation of State Calculations by Fast Computing Machines

N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth et al. · The Journal of Chemical Physics · 1953 · 37.1K citations

Computing, Computer Engineering, Computer Science +9

Estimation of small failure probabilities in high dimensions by subset simulation

Siu‐Kui Au, James L. Beck · Probabilistic Engineering Mechanics · 2001 · 2.4K citations

Business, Biostatistics, Probability Theory +15

A fast and efficient response surface approach for structural reliability problems

Christian Bucher, Ulrich Bourgund · Structural Safety · 1990 · 1.2K citations

Engineering, Civil Engineering, Finite Element Analysis +13

A new look at the response surface approach for reliability analysis

Malur R. Rajashekhar, Bruce R. Ellingwood · Structural Safety · 1993 · 735 citations · Full text

Engineering, Civil Engineering, Mechanical Engineering +14

A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models

Benjamin Echard, Nicolas Gayton, Maurice Lemaire et al. · Reliability Engineering & System Safety · 2012 · 656 citations

Computing, Computational Engineering, Industrial Engineering +16