Variability ordering for the backlog in buffer models fed by on-off fluid sources

dc.contributor.authorMakowski, Armand M.en_US
dc.contributor.departmentISRen_US
dc.contributor.departmentCSHCNen_US
dc.date.accessioned2007-05-23T10:14:07Z
dc.date.available2007-05-23T10:14:07Z
dc.date.issued2003en_US
dc.description.abstractIn the context buffer models fed by independent on-off fluid sources, we explore conditions under which "determinism minimizes the stationary backlog." These comparison results are couched in terms of the convex ordering for distributions. We show that increased variability in the on-duration rv results in greater variability of the corresponding backlog.While it appears that in general increased variability in the off-durationrv does not necessarily imply greater variability of the backlog, it is however the case when the on-period duration rv is exponentially distributed. The discussion is organized around a representation of the stationary backlog in terms of the stationary waiting time rv for an auxiliary stable GI|GI|1 queue.en_US
dc.format.extent172930 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/6375
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 2003-23en_US
dc.relation.ispartofseriesCSHCN; TR 2003-14en_US
dc.subjectGlobal Communication Systemsen_US
dc.titleVariability ordering for the backlog in buffer models fed by on-off fluid sourcesen_US
dc.typeTechnical Reporten_US

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