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dc.contributor.advisorNeuts, Marcel F.en_US
dc.contributor.authorChandramouli, Yegnanarayanan, 1962-
dc.creatorChandramouli, Yegnanarayanan, 1962-en_US
dc.date.accessioned2013-03-28T10:21:16Zen
dc.date.available2013-03-28T10:21:16Zen
dc.date.issued1988en_US
dc.identifier.urihttp://hdl.handle.net/10150/276891en
dc.description.abstractIn the operation of stochastic systems, and of queues in particular, it is important to recognize quickly the development in time of situations not compatible with their design criteria. Once such an anomalous condition is detected, it has to be decided, if the occurrence of that event can be attributed to chance or is due to a change in the parameters governing the system. This procedure of tracking the system is defined as monitoring. The design of a monitor and the selection of suitable threshold regions for monitoring a single server queue are the subjects of this thesis. The notion of profile curves, useful in formalizing monitoring schemes for queues, is also discussed. Finally, some numerical examples are presented to illustrate the performance of the monitor designed.
dc.language.isoen_USen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.subjectStochastic systems.en_US
dc.subjectSystem analysis -- Mathematical models.en_US
dc.titleOn the use of quasi-stationary distributions in monitoring a single server queueen_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.identifier.oclc22174041en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.levelmastersen_US
dc.identifier.proquest1335811en_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineSystems and Industrial Engineeringen_US
thesis.degree.nameM.S.en_US
dc.identifier.bibrecord.b17366914en_US
refterms.dateFOA2018-09-04T03:02:19Z
html.description.abstractIn the operation of stochastic systems, and of queues in particular, it is important to recognize quickly the development in time of situations not compatible with their design criteria. Once such an anomalous condition is detected, it has to be decided, if the occurrence of that event can be attributed to chance or is due to a change in the parameters governing the system. This procedure of tracking the system is defined as monitoring. The design of a monitor and the selection of suitable threshold regions for monitoring a single server queue are the subjects of this thesis. The notion of profile curves, useful in formalizing monitoring schemes for queues, is also discussed. Finally, some numerical examples are presented to illustrate the performance of the monitor designed.


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