城市生命线系统的地震网络可靠性研究
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摘要
震后生命线系统的网络可靠性对于灾后的应急救援和恢复至关重要,因此,评价城市生命线系统网络在一定地震强度下,网络系统保持连通的能力已成为研究生命线地震网络可靠性的重要内容。以经典的系统单元可靠性模型为基础,在众多的网络可靠性计算方法中根据方法实现的难易程度和计算效率,选择采用了不交化穷举集合法和有序二分决策图方法,比较研究了网络系统的可靠性问题,并与Monte Carlo方法进行了对照。此外,针对淮南市配水管网的实际案例,采用上述方法计算了相应的可靠度,计算结果表明,所提方法能够高效地应用于一般的工程实践,具有显著的实用意义。
Lifelines' network reliability after earthquake is vital to emergency rescue and recovery,therefore,assessment of urban lifelines system's connecting ability under certain earthquake excitation becomes important aspect of lifelines' seismic reliability.Based on classical reliability model for system components,among several methods for calculating reliability,the authors chose disjoint exhaustive collection method and ordered binary decision diagram method according to the effectiveness and difficulty of different methods,and verified their precision using Monte Carlo simulation.Additionally,by using the method mentioned above,the authors calculated corresponding reliability of Huainan water supply system.The results indicate that the methods presented can be applied to general practices with good precisions.
Lifelines' network reliability after earthquake is vital to emergency rescue and recovery,therefore,assessment of urban lifelines system's connecting ability under certain earthquake excitation becomes important aspect of lifelines' seismic reliability.Based on classical reliability model for system components,among several methods for calculating reliability,the authors chose disjoint exhaustive collection method and ordered binary decision diagram method according to the effectiveness and difficulty of different methods,and verified their precision using Monte Carlo simulation.Additionally,by using the method mentioned above,the authors calculated corresponding reliability of Huainan water supply system.The results indicate that the methods presented can be applied to general practices with good precisions.
引文
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[15]Bouissou M.An ordering heuristic for building binary decision diagrams from fault-trees[J].Proc.Annu.Reliab.Maintainability Symp,1996,32(7):208-214.
[16]ZANG Xinyu.A BDD-Based Algorithm for Reliability Graph Analysis[EB/OL].North Carolina,Durham:Duke University,2006[2008-07-23].http://citeseer.ist.psu.edu/213187.html.
[17]Xing L.An efficient binary-decision diagram based approach for network reliability and sensitivity analysis[J].IEEE Trans.Rel.,2008,38(1):105-115.
[18]Kanai K.An empirical formula for the spectrum of strong earthquake motion[J].Bulletin of Earthquake Research Institute,1961,39(1):85-95.
[19]操铮,刘茂,李栋学.腐蚀燃气管道地震波作用下的可靠性分析[J].科技导报,2009,27(16):44-48.
[2]梅启智,廖炯生,孙惠中.系统可靠性工程[M].北京:科学出版社,1987:100-110,353-38.
[3]Dotson W P,Gobien J O.A new analysis technique for probability graphs[J].IEEE Trans Reliability,Circuits&Systems,1979,5(28):855-865.
[4]Moskowitz F.The analysis of redundancy networks[J].IEEE Transactions on Communication Electronics 1958,12(9):627-632.
[5]Kuo Sy-Yen,Lu Shyue-Kung,Yeh Fu-Min.Determining terminal-pair reliability based on edge expansion diagrams using OBDD[J].IEEETrans.Reliability.1999.R-48(3):234-246.
[6]Chang Y R,Lin H Y,Chen I Y.A cut-based algorithm for reliability analysis of terminal-pair network using OBDD[C]//Proceeding of the 27Annual International Computer Software and Application Conference(COMPSAC’03),2003.
[7]Don Torrierl.Calculation of node-pair reliability in large networks with unreliable nodes[J].IEEETrans,Reliability,1994,R-43(3):375-377.
[8]Jie Li,Jun He.Arecursive decomposition algorithm for network seismic reliability evaluation[J].Earthquake Engng Struct Dyn,2002,31(8):1525-1539.
[9]Selcuk S A,Yu cemen M S.Reliability of lifeline networks under seismic hazard[J].Reliability Engineering and System Safety,1999,65(3):213–227.
[10]Selcuk A S,Yücemen M S.Reliability of lifeline networks with multiple sources under seismic hazard[J].Natural Hazards,2000,21(1):1-18.
[11]符圣聪,江静贝,黄世敏.地震时供水管网的可靠性和功能分析(下)[J].工程抗震与加固改造,2007,29(2):95-101.
[12]Cormen T H,Leiserson C E,Rivest R L et al.Introduction to algorithms[M].2nd ed.Cambridge:MIT Press.2001:457-485.C
[13]Lee C.Representation of switching circuits by binary decision diagrams[J].Bell Syst.Teeh.J.,1959,38(1):985-999.
[14]Bryant R E.Graph-based algorithms for Boolean function manipulation[J].IEEE Trans,Computers,1986,C-35(8):677-691.
[15]Bouissou M.An ordering heuristic for building binary decision diagrams from fault-trees[J].Proc.Annu.Reliab.Maintainability Symp,1996,32(7):208-214.
[16]ZANG Xinyu.A BDD-Based Algorithm for Reliability Graph Analysis[EB/OL].North Carolina,Durham:Duke University,2006[2008-07-23].http://citeseer.ist.psu.edu/213187.html.
[17]Xing L.An efficient binary-decision diagram based approach for network reliability and sensitivity analysis[J].IEEE Trans.Rel.,2008,38(1):105-115.
[18]Kanai K.An empirical formula for the spectrum of strong earthquake motion[J].Bulletin of Earthquake Research Institute,1961,39(1):85-95.
[19]操铮,刘茂,李栋学.腐蚀燃气管道地震波作用下的可靠性分析[J].科技导报,2009,27(16):44-48.
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