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SUMMARY:Metastability for loss networks - Sam Olesker-Taylor (University o
f Bath)
DTSTART;VALUE=DATE-TIME:20220509T120000
DTEND;VALUE=DATE-TIME:20220509T130000
UID:https://talks.ox.ac.uk/talks/id/496d37fc-55ed-4f39-9e31-e2af1eb59d5c/
DESCRIPTION:We consider a fully-connected loss network with dynamic altern
ative routing\, each link of capacity K. Calls arrive to each link {i\,
j} at rate λ. If the link is full upon arrival\, a third node k is chosen
uniform and the call is routed via k: it uses a unit of capacity on both
{i\, k} and {k\, j} if both have spare capacity\; otherwise\, the call
is lost.\n\nWe analyse the asymptotics of the mixing time of this process
\, depending on the traffic intensity α := λ/K. In particular\, we d
etermine a phase transition at an explicit threshold α_c: there is fast m
ixing if α < α_c or α > 1\, but metastability if α_c < α
< 1.\nSpeakers:\nSam Olesker-Taylor (University of Bath)
LOCATION:Mathematical Institute (Lecture Room 4)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/496d37fc-55ed-4f39-9e31-e2af1eb59d5c/
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DESCRIPTION:Talk:Metastability for loss networks - Sam Olesker-Taylor (Uni
versity of Bath)
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