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Multiscale Queuing Analysis

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Title: Multiscale Queuing Analysis
Author: Ribeiro, Vinay Joseph; Riedi, Rudolf H.; Baraniuk, Richard G.
Type: Journal Paper
Keywords: long-range-dependence; self-similarity; queuing; wavelets; multifractals; critical time-scale; multiscale; trees; fractioanl Gaussian noise; fractional Brownian motion; relevant time-scales
Citation: V. J. Ribeiro, R. H. Riedi and R. G. Baraniuk, "Multiscale Queuing Analysis," IEEE Transactions on Networking, 2006.
Abstract: This paper introduces a new multiscale framework for estimating the tail probability of a queue fed by an arbitrary traffic process. Using traffic statistics at a small number of time scales, our analysis extends the theoretical concept of the critical time scale and provides practical approximations for the tail queue probability. These approximations are non-asymptotic; that is they apply to any finite queue threshold. While our approach applies to any traffic process, it is particularly apt for long-range-dependent (LRD) traffic. For LRD fractional Brownian motion, we prove that a sparse exponential spacing of time scales yields optimal performance. Simulations with LRD traffic models and real Internet traces demonstrate the accuracy of the approach. Finally, simulations reveal that the marginals of traffic at multiple time scales have a strong influence on queuing that is not captured well by its global second-order correlation in non-Gaussian scenarios.
Date Published: 2006-10-01

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  • ECE Publications [1047 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.