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Monday 12 August 2013, 10:00-10:45
On the Fluid Limits of a Resource Sharing Algorithm with Logarithmic Weights
- đ¤ Speaker: Robert, PH (INRIA Paris - Rocquencourt)
- đ Date & Time: Monday 12 August 2013, 10:00 - 10:45
- đ Venue: Seminar Room 1, Newton Institute
Abstract
The properties of a class of resource allocation algorithms for communication networks are presented in this talk.The algorithm is as follows: if a node of this network has x requests to transmit, then it receives a fraction of the capacity proportional to log(x), the logarithm of its current load. A fluid scaling analysis of such a network is presented. It is shown that several different times scales play an important role in the evolution of such a system. An interesting interaction of time scales phenomenon is exhibited. It is also shown that these algorithms with logarithmics weights have remarkable, unsual, fairness properties. A heavy traffic limit theorem for the invariant distribution is proved. Joint work with Amandine Veber.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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