Traffic processes and sojourn times in finite Markovian queues

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dc.contributor.authorBarnes, John A.en
dc.contributor.committeecochairDisney, Ralph L.en
dc.contributor.committeecochairTEW, JEFFREY D.en
dc.contributor.committeememberNachlas, Joel A.en
dc.contributor.committeememberKiessler, Peter C.en
dc.contributor.committeememberDay, Martinen
dc.contributor.committeememberMINTON, ROLAND B.en
dc.contributor.departmentIndustrial Engineering and Operations Researchen
dc.date.accessioned2015-06-29T22:07:06Zen
dc.date.available2015-06-29T22:07:06Zen
dc.date.issued1988en
dc.description.abstractThis paper gives results on various traffic processes and on the sojourn time distribution for a class of models which operate as Markov processes on finite state spaces. The arrival and the service time processes are assumed to be independent renewal processes with interval distributions of phase-type. The queue capacity is finite. A general class of queue disciplines are considered. The primary models studied are from the M/E<sub>k</sub>/Φ/L class. The input, output, departure and overflow processes are analyzed. Furthermore, the sojourn time distribution is determined. Markov renewal theory provides the main analytical tools. It is shown that this work unifies many previously known results and offers some new results. Various extensions, including a balking model, are studied.en
dc.description.degreePh. D.en
dc.format.extentvi, 100 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/53907en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 19736143en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1988.B3783en
dc.subject.lcshMarkov processesen
dc.subject.lcshQueuing theoryen
dc.titleTraffic processes and sojourn times in finite Markovian queuesen
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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