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A Fokker–Planck equation method predicting Buffer occupancy in a single queue
Affiliation:1. Statistics Department, Madrid University Carlos III Avda Universidad 30, Leganes 28911, Madrid, Spain;2. Industrial Engineering Department, Technische Universiteit Eindhoven, Postbus 513, Eindhoven 5600 MB, the Netherlands;3. Department of Mathematics, VU Amsterdam, De Boelelaan 1105, Amsterdam 1081 HV, the Netherlands;4. Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, NC 27599, USA
Abstract:The VIrtual Predictor BuffER (VIPER) algorithm is a novel algorithm for performing online prediction of the buffer space requirement of each competing traffic stream. It accomplishes its task through the employment of a theoretical, infinite capacity, virtual buffer. Information acquired from the virtual buffer is used to construct a probability distribution function that is based on the Fokker–Planck equation. This distribution function is central to the VIPER algorithm and is used to compute the queue length predictions. The predictions are shown to be promising.
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