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Reliability of linear consecutively-connected systems with multistate components

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2 Author(s)
Kossow, Andreas ; Fachbereich Maschinenbau, Hochschule fur Tech. & Wirtschaft Wismar, Germany ; Preuss, W.

A linear consecutively-connected system with multistate components (LCCSMC) consists of n+2 linear ordered statistically independent multistate components Ci, i∈[0,n], and the sink Cn+1 (which is absolutely reliable in a certain sense). System failure is caused by the Ci. If Ci is in state 0 then it is failed, if it is in the state j (1⩽j⩽kj for a given kj) then there are paths from Ci to the next min(j,n-i+1) components. The system fails if there is no path from C0 to Cn+1. This system generalizes the linear consecutive-k-out-of-n:F system and the consecutively-connected system of Shanthikumar (1987). The paper gives recursive algorithms for determining the LCCSMC reliability

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Reliability, IEEE Transactions on  (Volume:44 ,  Issue: 3 )