An investigation of some conjectures about the hazard rate of warm standby systems

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Author
Boroff, Jeffrey Lee
Date
1973-06Advisor
Esary, J.D.
Second Reader
Barr, Donald R.
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Show full item recordAbstract
Two propositions concerning the comparative behavior of the hazard
rate functions for warm, ccld, and hot standby systems are expressed
and then examined. The standby systems under study involve two components
with constant failure rates. Emphasis is placed on establishing
a lower bound on the hazard rate function for a standby system and on
developing an optimal employment policy for the use of components in a
standby system.
A proof is offered to show that the hazard rate function for a cold
standby system is a lower bound on the hazard rate function of either a
warm or hot standby system. Evidence is then given to support the existence
of an optimal employment policy for components in a standby
system, but a complete proof is not presented.
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