A linear consecutively-connected system with multistate components (LCCSMC) consists of n+2 linear ordered statistically independent multistate components C/sub i/, i/spl isin/[0,n], and the sink C/sub n+1/ (which is absolutely reliable in a certain sense). System failure is caused by the C/sub i/. If C/sub i/ is in state 0 then it is failed, if it is in the state j (1/spl les/j/spl les/k/sub j/ for a given k/sub j/) then there are paths from C/sub i/ to the next min(j,n-i+1) components. The system fails if there is no path from C/sub 0/ to C/sub n+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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机译：具有多状态分量的线性连续连接系统（LCCSMC）由n + 2线性有序统计独立的多状态分量C / sub i /，i / spl isin / [0，n]和宿C / sub n + 1 /组成（在某种意义上绝对可靠）。系统故障是由C / sub i /引起的。如果C / sub i /处于状态0，则它失败，如果C / sub i /处于状态j（对于给定的k / sub j /，为1 / spl les / j / spl les / k / sub j /），则存在从C / sub i /到下一个min（j，n-i + 1）分量的路径。如果没有从C / sub 0 /到C / sub n + 1 /的路径，系统将失败。该系统概括了线性连续k-out-of-n：F系统和Shanthikumar（1987）的连续连接系统。本文给出了确定LCCSMC可靠性的递归算法。
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