| Minimal cut-based recursive decomposition algorithm for seismic reliability evaluation of lifeline networks |
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| 作者姓名： | 李杰 钱摇琨 刘威 |
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| 作者单位： | Building Engineering Department Tongji University，Building Engineering Department Tongji University，Building Engineering Department Tongji University，Shanghai 200092 China State Key Laboratory for Disaster Reduction in Civil Engineering Shanghai 200092 China Professor，Shanghai 200092 China engineer，Shanghai 200092 China Lecturer |
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| 基金项目： | the Natural Science Fundation of China for the Innovative Research Group of China Under Grant No. 50621062 |
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| 摘 要： | In this paper, a new probabilistic analytical approach, the minimal cut-based recursive decomposition algorithm (MCRDA), is presented to evaluate the seismic reliability of large-scale lifeline systems. Based on the minimal cut searching algorithm, the approach calculates the disjoint minimal cuts one by one using the basic procedure of the recursive decomposition method. At the same time, the process obtains the disjoint minimal paths of the system. In order to improve the computation efficiency, probabilistic inequality is used to calculate a solution that satisfies the prescribed error bound. A series of case studies show that MCRDA converges rapidly when the edges of the systems have low reliabilities. Therefore, the approach can be used to evaluate large-scale lifeline systems subjected to strong seismic wave excitation.
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| 关 键 词： | 生命线网络 地震可靠性 评估 回归分解算法 极小截量 |
| 文章编号： | 1671-3664（2007）01-0021-08 |
| 收稿时间： | 2006-10-21 |
| 修稿时间： | 2006-12-10 |
Minimal cut-based recursive decomposition algorithm for seismic reliability evaluation of lifeline networks |
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| Li?Jie,Qian?Yaokun,Liu?Wei.Minimal cut-based recursive decomposition algorithm for seismic reliability evaluation of lifeline networks[J].Earthquake Engineering and Engineering Vibration,2007,6(1):21-28. |
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| Authors: | Li Jie Qian Yaokun Liu Wei |
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| Institution: | 1. Building Engineering Department, Tongji University, Shanghai 200092, China;State Key Laboratory for Disaster Reduction in Civil Engineering, Shanghai 200092, China
2. Building Engineering Department, Tongji University, Shanghai 200092, China |
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| Abstract: | In this paper, a new probabilistic analytical approach, the minimal cut-based recursive decomposition algorithm (MCRDA), is presented to evaluate the seismic reliability of large-scale lifeline systems. Based on the minimal cut searching algorithm, the approach calculates the disjoint minimal cuts one by one using the basic procedure of the recursive decomposition method. At the same time, the process obtains the disjoint minimal paths of the system. In order to improve the computation efficiency, probabilistic inequality is used to calculate a solution that satisfies the prescribed error bound. A series of case studies show that MCRDA converges rapidly when the edges of the systems have low reliabilities. Therefore, the approach can be used to evaluate large-scale lifeline systems subjected to strong seismic wave excitation. |
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| Keywords: | minimal cut seismic reliability recursive decomposition algorithm large-scale lifeline system |
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