Problems in feedback queueing systems with symmetric queue disciplines

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dc.contributor.authorKlutke, Georgia-Annen
dc.contributor.committeechairDisney, R.L.en
dc.contributor.committeememberBesieris, loannis M.en
dc.contributor.committeememberFoley, R.D.en
dc.contributor.committeememberHerdman, Terry L.en
dc.contributor.committeememberMittal, T.D.en
dc.contributor.departmentIndustrial Engineering and Operations Researchen
dc.date.accessioned2015-05-14T16:36:14Zen
dc.date.available2015-05-14T16:36:14Zen
dc.date.issued1986en
dc.description.abstractIn this paper we study properties of a queue with instantaneous Bernoulli feedback where the service discipline is one of two symmetric disciplines. For the processor sharing queue with exponentially distributed service requirements we analyze the departure process, imbedded queue lengths, and the input and output processes. We determine the semi-Markov kernel of the internal flow processes and compute their stationary interval distributions and forward recurrence time distributions. For generally distributed service times, we analyze the output process using a continuous state Markov process. We compare the case where service times are exponentially distributed to the case where they are generally distributed. For the infinite server queue with feedback, we show that the output process is never renewal when the feedback probability is non-zero. We compute the time until the next output in three special cases.en
dc.description.degreePh. D.en
dc.format.extentv, 106 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/52314en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 14703757en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1986.K587en
dc.subject.lcshNetwork analysis (Planning)en
dc.subject.lcshQueuing theoryen
dc.titleProblems in feedback queueing systems with symmetric queue disciplinesen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineIndustrial Engineering and Operations Researchen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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