RELIABILITY OF A CIRCULAR CONNECTED-(r,s)-OUT-OF-(m,n) : F LATTICE SYSTEM
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概要
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A circular connected-(r,s)-out-of-(m,n):F lattice system has m・ n components and is consisted of n rays and m circles. The system fails if and only if a connected (r,s)-matrix of components fail. Firstly, this paper proposes a recursive algorithrn for the reliability of the system, which requires O(r^n^2sm) computing time. In the statist,ically independent identically distributed case, the computing time is able to be reduced. Secondly, the upper and lower bounds for the system reliability are obtained for the circular connected-(r,s)-out-of-(m,n):F lattice systern. Finally, it is proved that the reliability of the large system tends to exp[-μλ^<rs>] as n = μn^<n-1>, n → ∞ if every component has failure probability λn^<-η/rs>, where μ, λ and η are constant, μ, λ > 0, η > r.
- 社団法人日本オペレーションズ・リサーチ学会の論文
著者
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Yamamoto Hisashi
Department of Applied Chemistry, Faculty of Engineering, Nagoya University
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YAMAMOTO Hisashi
Research Institute for Theoretical Physics Hiroshima University
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Miyakawa Masami
Department Of Industrial Engineering And Management Tokyo Institute Of Technology
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Miyakawa Masami
Department Of Mathematical Engineering And Information Physics Graduate School Of Engineering Univer
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Yamamoto H
Department Of Management Engineering Faculty Of Science And Technology Teikyo University Of Science
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Yamamoto Hisashi
Department Applied Chemistry Nagoya University
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YAMAMOTO Hiroaki
Department of Physics, University of Tokyo
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YAMAMOTO Hikaru
Depart of Physics, Kyoto University
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