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dc.contributor.advisorDshalalow, Jewgeni
dc.contributor.authorMerie, Ahmed I.
dc.date.accessioned2019-03-22T15:19:18Z
dc.date.available2019-03-22T15:19:18Z
dc.date.created2018-07
dc.date.issued2018-07
dc.date.submittedJuly 2018
dc.identifier.urihttp://hdl.handle.net/11141/2756
dc.descriptionThesis (Ph.D.) - Florida Institute of Technology, 2018en_US
dc.description.abstractIn this dissertation, We analyze a complex queueing system with a single server operating in three different modes and, dependent on circumstances, servicing two different queues simultaneously. There are different switching policies that specify when the server takes one or two queues. Main techniques are based on fluctuation analysis. We study an enhanced hysteretic control system, with primary and secondary queues and random batch service. When the primary queue down-crosses r the server operates on two parallel lines servicing them asynchronously until the primary line of remaining units is processed or the number of serviced secondary units is at least S which ever comes first. The server waits thereafter is the total quantity of primary units is less than R (In chapter II we assumed N = 1). The server capacity of primary units is limited by R with two options: r ≤ R ≤ N and R > N. Using fluctuation analysis we obtain closed-form distributions of available units during key periods of time and the steady state distribution of the primary units. We illustrate analytical tractability by numerous analytical and computational examples.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.rightsCopyright held by author.en_US
dc.subjectSingle-server queue systemsen_US
dc.subjectHysteresisen_US
dc.subjectBivariate fluctuationsen_US
dc.subjectMarked point processesen_US
dc.subjectSemi-regenerative processen_US
dc.subjectFluctuation theoryen_US
dc.subjectStochastic gamesen_US
dc.titleFluctuation Analysis in Stochastic System with Parallel Queuesen_US
dc.typeDissertationen_US
dc.date.updated2018-07-30T15:13:32Z
thesis.degree.nameDoctor of Philosophy in Operations Researchen_US
thesis.degree.levelDoctoralen_US
thesis.degree.disciplineOperations Researchen_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.grantorFlorida Institute of Technologyen_US
dc.type.materialtext


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