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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

has been cited by the following article:

• TITLE: The Wartime Bridge Reliability Evaluation Model Based on Birth-and-Death Process

  AUTHORS: Duo-dian Wang, Guo-qing Qiu

  KEYWORDS: Wartime, Bridge Reliability, Evaluation, Birth-And-Death Process

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.4, December 9, 2011

  ABSTRACT: 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.