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- Siu-Kui Au, James L. Beck
- 2001

A new simulation approach, called`subset simulation', is proposed to compute small failure probabilities encountered in reliability analysis of engineering systems. The basic idea is to express theâ€¦ (More)

Estimation of small failure probabilities is one of the most important and challenging computational problems in reliability engineering. The failure probability is usually given by an integral overâ€¦ (More)

- Bowen Hua, Zhaohong Bie, Siu-Kui Au, Wenyuan Li, Xifan Wang
- 2015 IEEE Power & Energy Society General Meeting
- 2015

Summary form only given. This paper proposes an efficient method for evaluating composite system reliability via subset simulation. The central idea is that a small failure probability can beâ€¦ (More)

- Siu-Kui Au, Edoardo Patelli
- Rel. Eng. & Sys. Safety
- 2016

Modern engineering systems are becoming increasingly complex. Assessing their risk by simulation is intimately related to the efficient generation of rare failure events. Subset Simulation is anâ€¦ (More)

- Chinmaya Mishra, Simon Maskell, Siu-Kui Au, Jason F. Ralph
- ArXiv
- 2016

This paper presents an efficient method for estimating the probability of conflict between air traffic within a bl ock of airspace. Autonomous Sense-and-Avoid is an essential sa fety feature toâ€¦ (More)

- Yong Wang, Siu-Kui Au
- Rel. Eng. & Sys. Safety
- 2009

Observations from past earthquakes, such as the 1906 San Francisco earthquake, the 1994 Northridge earthquake, and the 1995 Hyogoken-Nanbu (Kobe) earthquake, have clearly demonstrated thatâ€¦ (More)

- Hong-Shuang Li, Siu-Kui Au
- 2010

This paper extends the application of Subset Simulation (SS), an advanced Monte Carlo algorithm for reliability analysis, to solve constrained optimization problems encountered in engineering. Theâ€¦ (More)

- Daniel P. Thunnissen, Siu-Kui Au, Edward R. Swenka
- JACIC
- 2007

A method for quantifying uncertainty in conceptual-level design via a computationallyefficient probabilistic method is described. As an example application, the investigated method is applied toâ€¦ (More)

- Siu-Kui Au, James L. Beck, Let

This paper presents the application of a new reliability method called Subset Simulation to seismic risk analysis of a structure, where the exceedance of some performance quantity, such as the peakâ€¦ (More)

- Bowen Hua, Zhaohong Bie, Siu-Kui Au, Wenyuan Li, Xifan Wang
- IEEE Transactions on Power Systems
- 2015

This paper proposes an efficient method for evaluating composite system reliability via subset simulation. The central idea is that a small failure probability can be expressed as a product of largerâ€¦ (More)