[Todos] Seminario de Probabilidad

[Matthieu Jonckheere]

PROXIMO ENCUENTRO: Miércoles 15 de Mayo, 12:00hs.

EXPOSITOR: Matthieu Jonckheere, Conicet

TITULO: Beyond strict insensitivity

LUGAR: Departamento de Matemática, Aula de seminarios, 2do piso, Pabellón 1.

RESUMEN:

One of the most notorious historical success (or even miracle) of queuing
theory is the Erlang formula and its extensions to loss networks. Its
applicability largely relies on its robustness to the call durations
distribution: the well-known insensitivity property. Attempts to extend
this formula to various forms of  modern networks (e.g. with best effort
traffic) have been only partially successful, due to  the increased
complexity and intrinsic asymmetries of the corresponding models.


We examine here a relaxed robustness property of stationary queuing
systems: the insensitivity of the large deviations characteristics to the
distribution of job sizes. We show that this property holds for some
fundamental models like bandwidth sharing networks under the proportional
fair allocation, giving hope to develop efficient performance evaluation
tools.


Joint work with Sergio Lopez.
------------ próxima parte ------------
Se ha borrado un adjunto en formato HTML...
URL: http://mail.df.uba.ar/pipermail/todos/attachments/20130513/e6bd228b/attachment.html