TY - JOUR
T1 - Consecutive K-Out-of-N Failure Systems
T2 - Reliability, Availability, Component Importance, and Multistate Extensions
AU - Griffith, William S.
AU - Govindarajulu, Z.
PY - 1985
Y1 - 1985
N2 - Coherent systems which fail if and only if at least k consecutive components fail are studied, when the components are independent and identically distributed. An expression for the reliability of such systems is derived by examining the waiting time for a run of a certain length using Markov chain techniques. Approximations for systems with large numbers of components are obtained, and measures of component importance are studied. Extensions are made to availability and multistate models.
AB - Coherent systems which fail if and only if at least k consecutive components fail are studied, when the components are independent and identically distributed. An expression for the reliability of such systems is derived by examining the waiting time for a run of a certain length using Markov chain techniques. Approximations for systems with large numbers of components are obtained, and measures of component importance are studied. Extensions are made to availability and multistate models.
KW - Availability
KW - Coherent systems
KW - Component importance
KW - Reliability
UR - http://www.scopus.com/inward/record.url?scp=0022325802&partnerID=8YFLogxK
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U2 - 10.1080/01966324.1985.10737160
DO - 10.1080/01966324.1985.10737160
M3 - Article
AN - SCOPUS:0022325802
SN - 0196-6324
VL - 5
SP - 125
EP - 160
JO - American Journal of Mathematical and Management Sciences
JF - American Journal of Mathematical and Management Sciences
IS - 1-2
ER -