The Wartime Bridge Reliability Evaluation Model Based on Birth-and-Death Process
Duo-dian Wang, Guo-qing Qiu
DOI: 10.4236/ajcm.2011.14034   PDF    HTML     4,332 Downloads   7,719 Views  


At first, the concept of bridge reliability is given, followed with its mathematic model. Then, based on the analysis about the mechanism of the damage and repair of bridges, and the state diversion of bridge network, the state diversion process is proved to be birth-and-death process. In the end, the state diversion balance equation of bridge network is built, and the evaluation model of wartime bridge reliability is got. The model is used in a certain example, and it is proved to be precise and credible.

Share and Cite:

D. Wang and G. Qiu, "The Wartime Bridge Reliability Evaluation Model Based on Birth-and-Death Process," American Journal of Computational Mathematics, Vol. 1 No. 4, 2011, pp. 281-284. doi: 10.4236/ajcm.2011.14034.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Q. Huang, “Application of Markov Skeleton Processes to Reliability Theory,” Ph.D. Thesis, Middle South Univer- sity, Changsha, 2004
[2] C. Wang, “Research of Markov Chain Prediction Method & Its Application on Bridge Engineering,” Ph.D. Thesis, Beijing Jiao Tong University, Beijing, 2009
[3] H.-B. Xia, “Fuzzy reliability Forecast for Existing Bridge Based on Markov Process and Grey Theory,” Modern Transportation Technology, Vol. 5, No. 2, 2008, pp. 35- 38
[4] Y.-Z. Lu and S.-H. He, “Prediction of Markov Fuzzy Reliability for Existing Bridge,” Journal of Chang’ an University: National Science Edition, Vol. 7, No. 4, 2005, pp. 39-43.
[5] F. Akgul and D. M. Frangopol, “Time-Dependent Inter- action between Load Rating and Reliability of Deterio- rating Bridges,” Engineering Structures, Vol. 26, No. 12, 2004, pp. 1751-1765. doi:10.1016/j.engstruct.2004.06.012
[6] W. Li, H. Jin and B. Tan, “Fuzzy Integration Judgment of Air Attack Target Selection,” Ordnance Industry Automa- tion, Vol. 27, No. 9, 2008, pp. 25-27.
[7] W.-J. Jie and J.-L. Feng, “Air Defense Weapon Target Se- lection Based on Markov,” Journal of Air Force Engineering University (Natural Science Edition), Vol. 27, No. 9, 2009, pp. 37-42.
[8] J.-P. Xu, Z.-N. Hu and J. Li, “Operational Research,” Sci- ence Press, Beijing, 2008. pp. 232-235.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.