On the use of quasi-stationary distributions in monitoring a single server queue

Persistent Link:
http://hdl.handle.net/10150/276891
Title:
On the use of quasi-stationary distributions in monitoring a single server queue
Author:
Chandramouli, Yegnanarayanan, 1962-
Issue Date:
1988
Publisher:
The University of Arizona.
Rights:
Copyright © 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.
Abstract:
In 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.
Type:
text; Thesis-Reproduction (electronic)
Keywords:
Stochastic systems.; System analysis -- Mathematical models.
Degree Name:
M.S.
Degree Level:
masters
Degree Program:
Graduate College; Systems and Industrial Engineering
Degree Grantor:
University of Arizona
Advisor:
Neuts, Marcel F.

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleOn the use of quasi-stationary distributions in monitoring a single server queueen_US
dc.creatorChandramouli, Yegnanarayanan, 1962-en_US
dc.contributor.authorChandramouli, Yegnanarayanan, 1962-en_US
dc.date.issued1988en_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.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.en_US
dc.typetexten_US
dc.typeThesis-Reproduction (electronic)en_US
dc.subjectStochastic systems.en_US
dc.subjectSystem analysis -- Mathematical models.en_US
thesis.degree.nameM.S.en_US
thesis.degree.levelmastersen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineSystems and Industrial Engineeringen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorNeuts, Marcel F.en_US
dc.identifier.proquest1335811en_US
dc.identifier.oclc22174041en_US
dc.identifier.bibrecord.b17366914en_US
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