Abstract
Aiming at the reliability evaluation method of the complex network, and network reliability is an important index in measuring the reliability of large-sized network. The Monte Carlo method is studied, and the general principle of MC simulation and the reliability evaluation approach based on MC are introduced. Sampling is very important in the Monte Carlo simulation, and random variable is studied, and several kinds of discrete distributions are introduced. A novel reliability evaluation method based on Monte Carlo method is proposed. To evaluate network reliability efficiently, the proposed method generates time-pointer of the arc failure events and constructs the event-table of the complex network, and updates the network states, and sampling is selected by geometric distribution. Precision and unbiased of the reliability evaluating are discussed. Furthermore, a series of numerical experiments are implemented to compare the efficiency of the CMC and the other traditional methods under the same experimental condition.
Similar content being viewed by others
References
Wang, B., Song, Y., Wang, Y.: Study of two-terminal multi-state network reliability. Appl. Res. Comput. 28(5), 1863–1865 (2011)
Liu, J., Dong, R., Wan, Z.: Reliability algorithm of weighted multi-state flow network. J. Guilin Univ. Electron. Technol. 33(6), 461–465 (2013)
Liu, Y., Liu, J., Zhang, Y.: Application of genetic-algorithm in computer network reliability optimization calculation. J. Shenyang Univ. Technol. 28(3), 293–295 (2006)
Sun, Y., Zhao, L., Zhang, X.: An inclusion exclusion algorithm for network reliability. J. Chin. Comput. Syst. 28(5), 830–833 (2007)
Sun, Y., Bi, J., Zhang, X.: Computing rooted communication reliability of cyclic directed networks using the factoring method. J. Northeast. Univ. (Nat. Sci.) 31, 486–489 (2010)
Gao, H., Zhan, J., Wang, B., Li, X.: Network reliability algorithm based on pathset matrix and Boolean operation. Comput. Eng. 38(11), 117–119 (2012)
Liu, W., Li, J.: A modified minimal out-based recursive decomposition algorithm for networks reliability evaluation. J. Tongji Univ. (Nat. Sci.) 36(4), 427–431 (2008)
Sun, Y., Zhang, X.: Algorithm of calculating the reliability of stochastic flow network by using minimal cuts. J. Syst. Eng. 25(2), 284–288 (2010)
Pan, Z., Mo, Y., Zhong, F.: Performance Improvement of BDD based network reliability analysis algorithm. Comput. Eng. Sci. 34(9), 26–32 (2012)
Pan, Z., Chen, R., Mo, Y.: Computing network reliability based on path function and BDD. Microelectron. Comput. 29(12), 157–162 (2012)
Xiao, Y., Zhang, H.: Reliability computation of network with unreliable nodes based on binary decision diagram. Comput. Eng. 41(1), 87–91 (2015)
Xu, B., Xu, Z., Gu, T.: Evaluation of 2-terminal reliability of dynamic topology network based on OBDD. J. Guilin Univ. Electron. Technol. 33(6), 466–472 (2013)
Xiao, Y., Chen, S., Li, X., Li, Y.: Evaluate the reliability and node importance of wireless sensor networks with OBDD algorithm. High Tech. Commun. 19(12), 1245–1250 (2009)
Xiao, Y., Li, X., Li, Y.H.: Reliability computation of communication network with enhanced OBDD method. Appl. Res. Comput. 27(3), 1114–1117 (2010)
Cui, H., Wang, F.: The six common distributions in probability theory. J. Luoyang Norm. Univ. 30(8), 23–24 (2011)
Yeh, W., Lin, Y.: A particle swarm optimization approach based on Monte Carlo simulation for solving the complex network reliability problem. IEEE Trans. Reliab. 59(1), 212–221 (2010)
Me, K., Wc, Y.: An efficient alternative to the exact evaluation of the quickest path flow network reliability problem. Comput. Oper. Res. 76, 22–32 (2016)
George-Williams, H., Patelli, E.: A hybrid load flow and event driven simulation approach to multi-state system reliability evaluation. Reliab. Eng. Syst. Saf. 152, 351–367 (2016)
Radislav, V., Dirk, P., Ilya, B.: Splitting sequential Monte Carlo for efficient unreliability estimation of highly reliable networks. Struct. Saf. 63, 1–10 (2016)
Eduardo, C., Franco, R., Pablo, R., Pablo, S.: Monte Carlo methods in diameter-constrained reliability. Opt. Switch. Netw. 14, 134–148 (2014)
Héctor, C., Franco, R., Gerardo, R., Pablo, S.: Monte Carlo estimation of diameter-constrained network reliability conditioned by pathsets and cutsets. Comput. Commun. 36, 611–620 (2013)
Li, S., Wang, J., Xi, B., Wang, X.: Monte-Carlo simulation combining with network reliability-preserving reduction. Comput. Eng. 37(8), 61–63 (2011)
Chen, X.: Research on reliability of complex network for estimating network reliability. J. Intell. Fuzzy Syst. (2017, in press). doi:10.3233/JIFS-169291
Adbullah, K.: Combining network reductions and simulation to estimate network reliability[C]. In: Proceedings of the 2007 Winter Simulation Conference. Washington, DC, USA, Association for Computing Machinery, pp. 2301–2305 (2007)
Eugène, M., Martine, L., Guy, L., Francesco, M.: Fishman’s sampling plan for computing network reliability. IEEE Trans. Reliab. 50(1), 41–46 (2001)
Xuan, J., Luo, X., Zhang, G., Lu, J., Xu, Z.: Uncertainty analysis for the keyword system of web events. IEEE Trans. Syst. Man Cybern. 46(6), 829–842 (2016)
Liu, W., Luo, X., Xuan, J., Xu, Z., Jiang, D.: Cognitive memory-inspired sentence ordering model. Knowl.-Based Syst. 104, 1–13 (2016)
Liu, W., Luo, X., Gong, Z., Xuan, J., Kou, N., Xu, Z.: Discovering the core semantics of event from social media. Future Gener. Comput. Syst. 64, 175–185 (2016)
Acknowledgements
The authors would like to thank for financial support by Social Sciences fund project of Hunan Province (No. 13YBA302) and education Science in Hunan province in 12th Five-Year planning project (XJK014CGD081, XJK011BXJ004).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, X.G. A novel reliability estimation method of complex network based on Monte Carlo. Cluster Comput 20, 1063–1073 (2017). https://doi.org/10.1007/s10586-017-0826-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10586-017-0826-3