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dc.contributor.advisorZachary, Stan
dc.contributor.advisorHansen, Jennie
dc.contributor.authorReynolds, Cian John
dc.date.accessioned2008-11-03T10:54:41Z
dc.date.available2008-11-03T10:54:41Z
dc.date.issued2007-06
dc.identifier.urihttp://hdl.handle.net/10399/2138
dc.description.abstractWe study the phenomenon of entrainment in processor sharing networks, whereby, while individual network resources have sufficient capacity to meet demand, the requirement for simultaneous availability of resources means that a network may nevertheless be unstable. We show that instability occurs through a poor control strategy, and that, for a variety of network topologies, only small modifications to control strategies are required in order to ensure stability. For control strategies which possess a natural monotonicity property, we give some new results for the classification of the corresponding Markov processes, which lead to conditions both for stability and for instability. Finally, we study the effect of variation of call size distribution on stationary distributions and stability.en
dc.description.sponsorshipEuropean Next Generation Internet Network of Excellence (EuroNGI)en
dc.format.extent509726 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherHeriot-Watt Universityen
dc.publisherMathematical and Computer Sciences
dc.rightsAll items in ROS are protected by the Creative Commons copyright license (http://creativecommons.org/licenses/by-nc-nd/2.5/scotland/), with all rights reserved.
dc.titleStability of the simultaneous processor sharing modelen
dc.typeThesisen


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