Strong approximation for the supermarket model

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dc.creatorLuczak, Malwina J.
dc.creatorNorris, James
dc.date2004-05-11
dc.date.accessioned2026-07-07T05:08:06Z
dc.date.available2026-07-07T05:08:06Z
dc.descriptionWe prove three strong approximation theorems for the `supermarket' or `join the shortest queue' model -- a law of large numbers, a jump process approximation and a central limit theorem. The estimates are carried through rather explicitly. This allows us to estimate each of the infinitely many components of the process in its own scale and to exhibit a cut-off in the set of active components which grows slowly with the number of servers.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0405183
dc.identifierhttp://arxiv.org/abs/math/0405183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71129
dc.subjectProbability
dc.subject60K25; 60F15
dc.titleStrong approximation for the supermarket model
dc.typetext

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