Design and Evaluation of the Multi-state Consecutive k-Systems

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In this study, first, we proposed (1) fast calculating algorithms for the system state distribution of multi-state k-system and (2) optimal arrangement problem for the consecutive k-system by using meta-heuristic approaches. Next, we defined the optimal arrangement of the multi-state k-system by using expectation of system state distribution, and (3) proposed calculating algorithm for the optimal arrangement of the multi-state k-system by using results for (1) and (2), and researched a trend of optimal arrangement. In addition, we proposed calculating algorithm for the optimal arrangement of the multi-state k-system by using evolutionary algorithm. Finally, we applied the calculating algorithms to the evaluation of the multi-objective network.