您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(工学版)》

山东大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (2): 27-32.doi: 10.6040/j.issn.1672-3961.1.2014.024

• 机器学习与数据挖掘 • 上一篇    下一篇

工程网络可靠性分析的网络简化方法

刘轩, 潘竹生, 钟发荣, 莫毓昌, 陈中育   

  1. 浙江师范大学数理与信息工程学院, 浙江 金华 321004
  • 收稿日期:2014-03-26 修回日期:2015-03-17 出版日期:2015-04-20 发布日期:2014-03-26
  • 作者简介:刘轩(1990-),男,湖北仙桃人,硕士研究生,主要研究方向为网络可信计算.E-mail:liuxuansure@gmail.com
  • 基金资助:
    国家自然科学基金资助项目(61272130);浙江省自然科学基金资助项目(Y1100689);浙江省教育厅一般科研资助项目(Y201328072,Y201328293);浙江省计算机软件与理论重中之重学科开放课题资助项目(ZSDZZZZXK24)

Network simplification method for reliability analysis of infrastructure networks

LIU Xuan, PAN Zhusheng, ZHONG Farong, MO Yuchang, CHEN Zhongyu   

  1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
  • Received:2014-03-26 Revised:2015-03-17 Online:2015-04-20 Published:2014-03-26

摘要: 针对含关节点的工程网络可靠性分析,提出了1种冗余子网消除技术。这种简化技术利用关节点进行冗余子网识别和删除,因此网络可靠性可以在精简网络上快速计算。选取USAir97数据集的部分网络进行试验。试验结果表明,利用冗余子网消除技术,可大量降低网络可靠性的计算时间,从而提高网络可靠性分析算法的性能。

关键词: 冗余子网, 关节点, 网络简化, 网络可靠性, 工程网络

Abstract: A redundant subnetwork reducing technique was presented for the reliability analysis of infrastructure networks containning articulate nodes. This simplification technique could identify and delete the redundant subnetwork based on articulate nodes, and thus the network reliability could be calculated very quickly based on a reduced network. According to the experimental results on some selected networks from USAir97 benchmark, the redundant subnetwork reducing method could achieve a great reduction on computing time for reliability calculation. Thus the performance of infrastructure networks reliability analysis could be greatly enhanced.

Key words: network simplification, network reliability, infrastructure networks, redundant subnetwork, articulate nodes

中图分类号: 

  • TB114
[1] AKERS S B. Binary decision diagrams[J]. IEEE Transactions on Computers, 1978, 100(6):509-516.
[2] YEH F M, KUO S Y. OBDD-based network reliability calculation[J]. Electronics Letters, 1997, 33(9):759-760.
[3] KUO S Y, LU S K, YEH F M. Determining terminal-pair reliability based on edge expansion diagrams using OBDD[J]. IEEE Transactions on Reliability, 1999, 48(3):234-246.
[4] YEH F M, LU S K, KUO S Y. OBDD-based evaluation of k-terminal network reliability[J]. IEEE Transactions on Reliability, 2002, 51(4):443-451.
[5] HARDY G, LUCET C, LIMNIOS N. Computing all-terminal reliability of stochastic networks with binary decision diagrams[C]//Proceedings of 11th International Symposium on Applied Stochastic Models. Brest, France:IEEE, 2005:1468-1473.
[6] HARDY G, LUCET C, LIMNIOS N. K-terminal network reliability measures with binary decision diagrams[J]. IEEE Transactions on Reliability, 2007, 56(3): 506-515.
[7] 潘竹生, 莫毓昌. 冗余可修系统的可靠性分析[J]. 浙江大学学报:工学版,2013, 47(4):644-649. PAN Zhusheng, MO Yuchang. Reliability analysis of redundant and repairable systems[J]. Journal of Zhejiang University: Engineering Science, 2013, 47(4): 644-649.
[8] CHEN R, MO Y, PAN Z. Performance improvement of edge expansion technique for BDD-based network reliability analysis[J]. Journal of Computers, 2013, 8(9): 2190-2196.
[9] PAN Z, MO Y, XING L, et al. New insights into breadth-first search edge ordering of regular networks for terminal-pair reliability analysis[J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2014, 228(1):83-92.
[10] STROGATZ S H. Exploring complex networks[J]. Nature, 2001, 410(6825):268-276.
[11] ALBERT R, ALBERT I, NAKARADO G L. Structural vulnerability of the North American power grid[J]. Physical Review E, 2004, 69(2):101-107.
[12] KINNEY R, CRUCITTI P, ALBERT R, et al. Modeling cascading failures in the North American power grid[J]. The European Physical Journal B-Condensed Matter and Complex Systems, 2005, 46(1):101-107.
[13] YANG X H, CHEN G, SUN B, et al. Bus transport network model with ideal n-depth clique network topology[J]. Physica A: Statistical Mechanics and its Applications, 2011, 390(23):4660-4672.
[14] YANG X H, WANG B, CHEN S Y, et al. Epidemic dynamics behavior in some bus transport networks[J]. Physica A: Statistical Mechanics and its Applications, 2012, 391(3):917-924.
[15] JAVANBARG M B, TAKADA S. Seismic reliability assessment of water supply systems[C]//Proceedings of 10th International Conference on Structural Safety and Reliability. Osaka, Japan: IEEE, 2009:3455-3462.
[16] JAVANBARG M B, SCAWTHORN C, KIYONO J, et al. Reliability analysis of infrastructure and lifeline networks using OBDD[C]// Proceedings of 10th International Conference on Structural Safety and Reliability. Osaka, Janpan: IEEE, 2009:3463-3470.
[17] TARJAN R. Depth-first search and linear graph algorithms[J]. SIAM Journal on Computing, 1972, 1(2):146-160.
[1] 伍欢, 钟发荣, 莫毓昌, 潘竹生, 曾令国. 网络可靠性分析中BFS策略与POS策略的性能比较[J]. 山东大学学报(工学版), 2015, 45(2): 43-48.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] 秦通,孙丰荣*,王丽梅,王庆浩,李新彩. 基于极大圆盘引导的形状插值实现三维表面重建[J]. 山东大学学报(工学版), 2010, 40(3): 1 -5 .
[2] 王丽君,黄奇成,王兆旭 . 敏感性问题中的均方误差与模型比较[J]. 山东大学学报(工学版), 2006, 36(6): 51 -56 .
[3] 王杉,李田泽 . 一种绕线转子感应电机控制的新方法[J]. 山东大学学报(工学版), 2008, 38(3): 86 -89 .
[4] 李士进,王声特,黄乐平. 基于正反向异质性的遥感图像变化检测[J]. 山东大学学报(工学版), 2018, 48(3): 1 -9 .
[5] 世文学 刘卫东 孙永福. 基于DEM的堰塞湖1/3溃决模拟及人员撤离方案研究[J]. 山东大学学报(工学版), 2009, 39(5): 144 -148 .
[6] 胡红春,吴耀华,廖莉 . 物流配送车辆线路的优化及其应用[J]. 山东大学学报(工学版), 2007, 37(4): 104 -107 .
[7] 王佰伟,曹升乐 . 工业废水治理效果多目标评价方法研究[J]. 山东大学学报(工学版), 2007, 37(3): 89 -92 .
[8] 乔小燕. 赤潮藻显微图像自动识别方法[J]. 山东大学学报(工学版), 2016, 46(3): 1 -6 .
[9] 张 欣,李术才,李树忱 . 考虑天然渗流场影响的地应力场反演回归分析及应用[J]. 山东大学学报(工学版), 2008, 38(4): 57 -62 .
[10] 崔新壮,商庆森,姚占勇 . 强夯在威乳高速公路改建工程中的应用研究及一般性推广[J]. 山东大学学报(工学版), 2008, 38(4): 53 -56 .