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We propose the consecutive-$k_r $-out-of- $n_r $:F linear zigzag structure and circular polygon structure, which extend the consecutive-k-out-of-n:F system model. By employing the finite Markov chain imbedding approach, we have proven the equations for calculating the reliability of consecutive-k-out-of-n:F system with different patterns given the state of the first and(or) the last component(s)....
To deal with the malicious behaviors of the aggregators and the malicious route behaviors of the nodes in the wireless sensor networks, the trusted value and residual energy for the nodes are used to choose the aggregators, a relatively reliable path is secretly selected to transfer the data aggregation results, and a secure clustering and reliable disjoint multi-path route discovery method is proposed...
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