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dc.contributor.authorRueda, Javier Eduardoen_US
dc.date.accessioned2011-08-06T14:43:08Z
dc.date.available2011-08-06T14:43:08Z
dc.date.issued2003-12-05en_US
dc.identifier.otheretd-12092003-164431en_US
dc.identifier.urihttp://hdl.handle.net/10919/9637
dc.description.abstractTime-dependent queueing models are important since most of real-life problems are time-dependent. We develop a numerical approximation algorithm for the mean, variance and higher-order moments of the number of entities in the system at time t for the Ph(t)/Ph(t)/s/c queueing model. This model can be thought as a reparameterization to the G(t)/GI(t)/s. Our approach is to partition the state space into known and identifiable structures, such as the M(t)/M(t)/s/c or M(t)/M(t)/1 queueing models. We then use the Polya-Eggenberger distribution to approximate certain unknown probabilities via a two-moment matching algorithm. We describe the necessary steps to validate the approximation and measure the accuracy of the model.en_US
dc.format.mediumETDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartPhtPhtscThesisR1.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectPolya-Eggenbergeren_US
dc.subjectQueueingen_US
dc.subjectphase-typeen_US
dc.subjectstochasticen_US
dc.subjecttime-dependent queuesen_US
dc.titleThe Ph(t)/Ph(t)/s/c Queueing Model and Approximationen_US
dc.typeThesisen_US
dc.contributor.departmentIndustrial and Systems Engineeringen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineIndustrial and Systems Engineeringen_US
dc.contributor.committeechairTaaffe, Michael R.en_US
dc.contributor.committeememberCastagliola, Philippeen_US
dc.contributor.committeememberLin, Kyle Y.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-12092003-164431en_US
dc.date.sdate2003-12-09en_US
dc.date.rdate2003-12-16
dc.date.adate2003-12-16en_US


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