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Full Length Research Paper
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Reliability and
economic analysis of 2-out-of-3 redundant system
with priority
to repair
S. Chander1*
and R. K. Bhardwaj2
1Department
of Statistics, M. D. University, Rohtak-124001(India)
2
Department of Statistics, Punjabi University Patiala, Punjab
(India).
*Corresponding author. E-mail:
sc_malik@rediffmail.com.
Accepted 12 October, 2009 |
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Abstract |
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Two reliability models have been developed to compare some
reliability and economic measures for a 2-out-of-3 redundant
system having two original units (called standard units) and one
duplicate unit which
are
initially taken as spare in cold standby. The system is
considered in up-state if any two of original and/or duplicate
units are operative in parallel mode. The original unit is
inspected at its failure by the server to see the feasibility of
repair. If repair is not feasible, it is replaced by a new
original unit. However, repair of the duplicate unit is done
without inspection. In model II, priority to repair the original
unit over the duplicate unit is given. The failure time of the
unit(s) is exponentially distributed while inspection and repair
time distributions are assumed as arbitrary with different
probability density functions. The semi-Markov process and
regenerative point technique have been used to derive the
expressions for mean time to system failure and profit of the
models. A particular case is considered to highlight the results
graphically.
Key words:
2-out-of-3 system, inspection, priority to repair, reliability
and economic measures.
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