Persistent Link:
http://hdl.handle.net/10150/185993
Title:
Contributions to some areas in reliability theory.
Author:
Zhu, Haolong.
Issue Date:
1992
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
This work consists of some contributions to several areas in reliability theory. Chapter 1 is a short summary of the results obtained in this work with a brief overview of related areas. In Chapter 2, a model for k-out-of-n systems with n dependent components is studied. Sufficiency conditions on the conditional failure rate functions are given which imply that the first failure time of such a system is IFR (increasing failure rate). This result contains an earlier result of Esary and Proschan (1963) as a special case. Chapter 3 focuses on the block replacement policy, one of the most popular maintenance policies. Several new results which connect the properties of the block replacement policy with the properties of the corresponding renewal function and the excess lifetime are obtained. Some applications and relationships between these new results and some well known results are included. Chapter 4 deals with a model for discrete dependent maintenance reliability systems (DDMRS). We identify the conditions on the discrete conditional transition probabilities under which the two performance sequences associated with two DDMRS's are comparable in stochastic ordering. Further results and applications are discussed. In Chapter 5, several results on the properties of first failure times of some discrete dependent reliability systems (with or without maintenance) are presented.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Mathematics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Shaked, Moshe

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleContributions to some areas in reliability theory.en_US
dc.creatorZhu, Haolong.en_US
dc.contributor.authorZhu, Haolong.en_US
dc.date.issued1992en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThis work consists of some contributions to several areas in reliability theory. Chapter 1 is a short summary of the results obtained in this work with a brief overview of related areas. In Chapter 2, a model for k-out-of-n systems with n dependent components is studied. Sufficiency conditions on the conditional failure rate functions are given which imply that the first failure time of such a system is IFR (increasing failure rate). This result contains an earlier result of Esary and Proschan (1963) as a special case. Chapter 3 focuses on the block replacement policy, one of the most popular maintenance policies. Several new results which connect the properties of the block replacement policy with the properties of the corresponding renewal function and the excess lifetime are obtained. Some applications and relationships between these new results and some well known results are included. Chapter 4 deals with a model for discrete dependent maintenance reliability systems (DDMRS). We identify the conditions on the discrete conditional transition probabilities under which the two performance sequences associated with two DDMRS's are comparable in stochastic ordering. Further results and applications are discussed. In Chapter 5, several results on the properties of first failure times of some discrete dependent reliability systems (with or without maintenance) are presented.en_US
dc.description.noteDigitization note: p. 41 missing from paper original.en
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectMathematics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairShaked, Mosheen_US
dc.contributor.committeememberMyers, Donalden_US
dc.contributor.committeememberWright, Larryen_US
dc.contributor.committeememberDenny, J.L.en_US
dc.contributor.committeememberWatkins, Josephen_US
dc.identifier.proquest9307657en_US
dc.identifier.oclc713873362en_US
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