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A Fast Algorithm for Calculating Repairable Network Availability

ZHU Xiyang,SHEN Yuanlong,Mei Xinyan (College of Photoelectricity Engineering,Nanjing University of Posts and Telecommunications,Nanjing 210003,China)  
For repairable system,its state number grows exponentially with the system scale.Firstly,under the assumptions of same type of system components,this paper analyzes Markov model using the maintenance sequence as a breakthrough point,and proves that for certain maintenance sequences,the single state probability can be calculated according to the class state probability.What is more,this paper puts forward a mapping algorithm from class state to SDP state by taking the repairable network as example,so that the calculation complexity of the availability of network can be reduced greatly.Finally the correctness of the merger strategy and the mapping algorithm are shown by simulation results.
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