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SUMMARY:A Scaling Framework for the Many Flows Asymptotic\, through Large 
 Deviations. - James Cruise\, Bristol University.
DTSTART:20090128T160000Z
DTEND:20090128T170000Z
UID:TALK15639@talks.cam.ac.uk
CONTACT:Neil Walton
DESCRIPTION:We introduce a new framework of scalings for the many flows as
 ymptotic\nfor queueing systems. This asymptotic was first introduced by Al
 an\nWeiss. This asymptotic is useful in estimating drop probabilities for\
 nmodelling congestion control protocols as well as providing insight into\
 nobserved phenomenon.\n\nTo introduce the framework we re-examine the prev
 iously studied results\nand see how the scalings naturally generalise. Wit
 hin the framework we\nconsider a simple Markovian example and followed by 
 the sample path\nlarge deviations for fractional Brownian motion. This all
 ows us to\ndemonstrate the versatility and salient features of the framewo
 rk.\n\nIn  addition we briefly introduce results with in this framework fo
 r\npoint processes which extend previous small buffer results. As well as\
 npresenting some open problems thrown up by the new framework.\n
LOCATION:MR15\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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