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Naoki Yoshida,Hisashi Yamamoto,Tomoaki Akiba,Koji Shingyochi,Xiao Xiao 대한산업공학회 2015 대한산업공학회 추계학술대회논문집 Vol.2015 No.11
In the multi-state consecutive-k-out-of-n:F system, both the components and the system are allowed to be in M + 1 possible state. One of the most important problems in the multi-state consecutive-k-out-of-n:F system is the optimal arrangement problem wherein the solution is obtained by the arrangement of components with maximum expectation of system states. In general, the optimal arrangements depend on the values of component state probabilities. It is known, however, that for some cases, optimal arrangements do not depend on the values of component state probabilities but on the magnitude relationships of component state probabilities. In this paper, we investigate characteristics of optimal arrangements in multi-state consecutive-k-out-of-n:F systems. We propose characteristics of invariable optimal arrangement on some conditions.