Structural Reliability Assessment Using Latin Hypercube Sampling
Bilal M. Ayyub, Kwan-Ling Lai
Abstract
Bilal M. Ayyub, Kwan-Ling Lai
Abstract
Many methods have been proposed for structural reliability assessment purposes, such as the First-Order Second-Moment Method, the Advanced Second-Moment Method, computer simulation, etc. Latin Hypercube Sampling is a technique that provides a constrained sampling scheme instead of random sampling according to the direct Monte Carlo Method. The objective of this paper is to suggest simulation algorithms that utilize Latin Hypercube Sampling combined with variance reduction techniques, and compare the results with those methods without selective sampling schemes.
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Many methods have been proposed for structural reliability assessment purposes, such as the First-Order Second-Moment Method, the Advanced Second-Moment Method, computer simulation, etc. Latin Hypercube Sampling is a technique that provides a constrained sampling scheme instead of random sampling according to the direct Monte Carlo Method. The objective of this paper is to suggest simulation algorithms that utilize Latin Hypercube Sampling combined with variance reduction techniques, and compare the results with those methods without selective sampling schemes.
Key concepts: Latin hypercube sampling, Sampling (signal processing), Monte Carlo method, Variance reduction, Reliability (semiconductor), Importance sampling, Second moment of area, Moment (physics)