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Fractional alpha stable network traffic model and its application in QoS routing
Affiliation:1. Graduate School of Green Transportation, Korea Advanced Institute of Science and Technology (KAIST), Republic of Korea;2. Department of Civil and Environmental Engineering, The George Washington University, Washington, DC 20052, USA;1. The George Washington University, 800 22nd Street NW, Washington DC 20052, USA;2. University of New South Wales, Civil Engineering Building (Kensington Campus), Sydney, NSW 2052, Australia;3. Texas A&M University, 301E Dwight Look Engineering Building, College Station, TX 77843, USA;4. Technical University of Dresden, Würzburger Str. 35, 01062 Dresden, Germany;1. Department of Civil and Environmental Engineering, University of Massachusetts, Lowell, United States;2. Department of Civil and Environmental Engineering, University of Wisconsin, Madison, United States;1. Choice Modelling Centre, Institute for Transport Studies, University of Leeds, 34-40 University Road, LS2 9JT Leeds, United Kingdom;2. Institute of Transport and Logistics Studies, The University of Sydney Business School, The University of Sydney, 378 Abercrombie Street, Darlington, NSW 2006, Australia;3. Institute for Transport Studies, University of Leeds, 34-40 University Road, LS2 9JT Leeds, United Kingdom
Abstract:It is not a simple and trivial work to set up an appropriate network traffic model. A fractional Alpha model is proposed in this paper and two proofs based on flow and session level, respectively, are given. Based on this model, the lower bound for the residual of the queueing distribution is deduced. Comparing the residual distribution function (RDF) based on our model with it based on other models, we find our formula matches the real RDF better. Based on this formula, we can predict the need for forwarding performance. Then a novel QoS routing algorithm based on this prediction is proposed. Last we demonstrate a simple example to denote how our algorithm can effectively improve the utility of bandwidth and amount of traffic and guarantee QoS.
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