Availability Analysis for the Quasi-Renewal Process with an Age-Dependent Preventive Maintenance Policy

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dc.contributor.authorIntiyot, Boonyariten
dc.contributor.committeechairNachlas, Joel A.en
dc.contributor.committeememberBish, Ebru K.en
dc.contributor.committeememberKoelling, C. Patricken
dc.contributor.committeememberBadinelli, Ralph D.en
dc.contributor.departmentIndustrial and Systems Engineeringen
dc.date.accessioned2014-03-14T20:16:10Zen
dc.date.adate2007-09-26en
dc.date.available2014-03-14T20:16:10Zen
dc.date.issued2007-09-05en
dc.date.rdate2010-10-07en
dc.date.sdate2007-09-12en
dc.description.abstractA quasi-renewal process is more realistic in modeling the behavior of a repairable system than traditional models such as perfect repair and minimal repair since it reflects the deterioration process of the system over time while traditional models do not. The quasi-renewal parameter is set to a value between 0 and 1 to indicate the rate of deterioration. Moreover, a quasi-renewal process can also be used to model the increasing time of maintenance actions due to the increasing difficulty of maintaining an aging system by setting the parameter to a value larger than 1. We construct a model where the operating times follow a quasi-renewal process and the corrective/preventive maintenance times follow another quasi-renewal process. A quasi-renewal function and two equivalent point availability expressions are developed for the model described by a quasi-renewal process with and age-dependent preventive maintenance policy. In addition, numerical results from various theoretical distributions are obtained to illustrate the behavior of the models. The two equivalent point availability functions each contains an infinite sum and must be truncated to obtain a numerical approximation. The two approximated point availability functions form upper and lower bounds on the real value. The bounds are useful for determining the result accuracy, which can be arbitrarily increased by adding more terms to the truncated summation. Our framework provides a new time-dependent availability model for a non-stationary process with a preventive maintenance policy without any cost structure or optimization problem.en
dc.description.degreePh. D.en
dc.identifier.otheretd-09122007-214414en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-09122007-214414/en
dc.identifier.urihttp://hdl.handle.net/10919/28955en
dc.publisherVirginia Techen
dc.relation.haspartdissertation.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectreliabilityen
dc.subjectavailabilityen
dc.subjectquasi-renewal processen
dc.subjectcorrective maintenanceen
dc.subjectage-dependent preventive maintenanceen
dc.titleAvailability Analysis for the Quasi-Renewal Process with an Age-Dependent Preventive Maintenance Policyen
dc.typeDissertationen
thesis.degree.disciplineIndustrial and Systems Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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