Efficient Spreadsheet Algorithm for First-Order Reliability Method

By B. Low, Wilson Hon-Chung Tang. 2007

373 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/a6c6a203693131ccb9e9121935a28e3a325e4ef6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Jian Ji
2. Jayantha K. Kodikara
3. Francis Tin-Loi
4. B. Low
5. Chongmin Song
6. Wei Gao

In Computational Theory and Mathematics

1. Jian Ji
2. Jayantha K. Kodikara
3. Di Wu
4. Chongmin Song
5. Wei Gao
6. Francis Tin-Loi
7. B. Low
8. Xiaojing Li

In Statistics and Probability

1. Di Wu
2. Jian Ji
3. Jayantha K. Kodikara
4. Chongmin Song
5. Wei Gao
6. Z. Cao
7. Daniel Dias
8. A. Hamrouni

Citations in the corpus

• Efficient reliability method for implicit limit state surface with correlated non‐Gaussian variables (2015, methodology): “An alternative formulation of β in x-space or in the space of standardized (correlated) normal variables (n-space) is presented by Low and Tang [1, 2]:”
• Reliability analysis of shallow tunnels using the response surface methodology (2017, background): “Lü and Low (2011); Lü, Sun, and Low (2011) compared the firstand second-order algorithms of Low and Tang (2007) to calculate the reliability index of a circular tunnel subjected to a hydrostatic stress field.”
• Probabilistic slope stability analysis by risk aggregation (2014, background): “The pf is, therefore, frequently assessed only along one or a few pre-selected slip surfaces without proper consideration of the slip surface variation (e.g., Tang et al., 1976; Low et al., 1998; Hassan and Wolff, 1999; Malkawi et al., 2000; Bhattacharya et al., 2003; Low and Tang, 2007; Xue and Gav”
• Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method (2011, methodology): “Monte-Carlo simulation method (MCSM) [13–15], perturbation based stochastic finite element method [7,16–18], spectral stochastic finite element All rights reserved. method [19–21] and other types of stochastic methods [22,23] have been developed to analyze random structures.”
• Efficient Probabilistic Algorithm Illustrated for a Rock Slope (2008, methodology): “In this study the same slope is revisited, and analyzed using the Low and Tang (2007) new algorithm and different probability distributions.”