On multinormal integrals by importance sampling for parallel system reliability

Edoardo Patelli, Helmut J. Pradlwarter, Gerhart I. Schuëller

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


The ability to compute multinormal integrals to any required accuracy is a key issue for an efficient computation of failure probabilities, particular important in context with system reliability analysis. Hence in this paper, an accurate Importance Sampling procedure to compute multinormal integrals in high dimensions is presented. The novel method allows to sample exclusively in the failure domain which substantially increases the efficiency of the Importance Sampling procedure. The proposed approach is extended for slightly non-linear limit state functions which typically result from non-Gaussian distributed input variables and linear limit state functions of the response in linear structural analysis.The suggested procedure is easy to implement, accurate and convenient for practical applications.

Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalStructural Safety
Issue number1
Early online date13 May 2010
Publication statusPublished - 1 Jan 2011


  • importance sampling
  • Monte Carlo simulation
  • multinormal integration
  • Parallel system
  • reliability analysis
  • simulation procedures


Dive into the research topics of 'On multinormal integrals by importance sampling for parallel system reliability'. Together they form a unique fingerprint.

Cite this