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

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Authors
Boroff, Jeffrey Lee
Subjects
Advisors
Esary, J.D.
Date of Issue
1973-06
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
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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Thesis
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Department
Operations Research
Organization
Naval Postgraduate School
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Approved for public release; distribution is unlimited.
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