Title :
On the Consecutive-k-of-n:F System
Author :
Derman, Cyrus ; Lieberman, Gerald J. ; Ross, Sheldon M.
Author_Institution :
Department of Industrial Engineering and Operations Research; Columbia University; New York, NY 10027 USA.
fDate :
4/1/1982 12:00:00 AM
Abstract :
The linear (circular) k-of-n:F system has n linearly (circularly) ordered components. Each component either functions or fails. The system fails i.f.f.k consecutive components fail. This paper provides, in the i.i.d. case, recursive formulas and bounds for computing system reliability. It considers properties of system life distributions and, in the non i.i.d. case, questions of optimal system design.
Keywords :
Circuits; Petroleum; Pipelines; Reliability theory; Telecommunications; Consecutive-k-out-of-n:F system;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.1982.5221229
