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Author:

Xu, Yu-Hui (Xu, Yu-Hui.) | Jiang, Wei-Jin (Jiang, Wei-Jin.) | Xu, Yu-Sheng (Xu, Yu-Sheng.)

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EI Scopus

Abstract:

The failure probability of a system can be expressed as an integral of the joint probability density function within the failure domain defined by the limit state functions of the system. Generally, it is very difficult to solve this integral directly. The evaluation of system reliability has been the active research area during the recent decades. Some methods were developed to solve system reliability analysis, such as Monte Carlo method, importance sampling method, bounding techniques and Probability Network Evaluation Technique (PNET). This paper presents the implementation of several optimization algorithms, modified Method of Feasible Direction (MFD), Sequential Linear Programming (SLP) and Sequential Quadratic programming (SQP), in order to demonstrate the convergence abilities and robust nature of the optimization technique when applied to series system reliability analysis. Examples taken from the published references were calculated and the results were compared with the answers of various other methods and the exact solution. Results indicate the optimization technique has a wide range of application with good convergence ability and robustness, and handle problems under generalized conditions or cases. © 2005 IEEE.

Keyword:

Optimization Quadratic programming Linear programming Probability density function Convergence of numerical methods Failure analysis Computer simulation Monte Carlo methods

Author Community:

  • [ 1 ] [Xu, Yu-Hui]Department of Information and Computing Science, Zhuzhou Institute of Technology, Zhuzhou 412008, China
  • [ 2 ] [Jiang, Wei-Jin]Department of Computer, Zhuzhou Institute of Technology, Zhuzhou 412008, China
  • [ 3 ] [Xu, Yu-Sheng]College of Mechanical Engineering and Applied Electronics, Beijing University of Technology, Beijing 100022, China

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Year: 2005

Page: 3438-3442

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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