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On the Convergence to Fairness in Overloaded FIFO Systems
Citation key CHC-OCFOFS-11
Author Ciucu, Florin and Hohlfeld, Oliver and Chen, Lydia Y.
Title of Book Proceedings of the 30th IEEE International Conference on Computer Communications (INFOCOM '11)
Pages 1988–1996
Year 2011
ISBN 978-1-4244-9919-9
ISSN 0743-166X
DOI http://dx.doi.org/10.1109/INFCOM.2011.5935004
Location Shanghai, China
Address New York, NY, USA
Month April
Publisher IEEE
Abstract Many of computing and communication systems are based on FIFO queues whose performance, e.g., in terms of throughput and fairness, is highly influenced by load fluctuations, especially in the case of short-term overload. This paper analytically proves that, for both Markovian and heavy-tailed/self-similar arrivals, overloaded FIFO queues are asymptotically fair in the sense that each flow or aggregate of flows receives a weighted fair share over large time scales. In addition, the paper provides the corresponding transient results and convergence rates, i.e., the amount of time it takes for a flow to probabilistically attain the fair share. Interestingly, for Markovian arrivals, the paper indicates smaller convergence rates at higher utilizations, which is exactly the opposite behavior characteristic to underloaded queueing systems.
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