Reliability of linear consecutively-connected systems with multistate components

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/....

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Veröffentlicht in:	IEEE transactions on reliability 1995-09, Vol.44 (3), p.518-522
Hauptverfasser:	Kossow, A., Preuss, W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Computer science control theory systems Control theory. Systems Exact sciences and technology Large scale systems Operational research and scientific management Operational research. Management science Relays Reliability theory. Replacement problems Transmitters
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Beschreibung
Zusammenfassung:	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.< >
ISSN:	0018-9529 1558-1721
DOI:	10.1109/24.406595