Name
Abstract | ||
|---|---|---|
We present an approximation for the tail asymptotics in an infinite capacity single server queue serviced at a constant rate driven by general multifractal input process. We show that in the special and important case of the monofractal fractional Brownian motion input traffic our result gives the well-known Weibullian tail. We prove that the class of Gaussian processes with scaling properties is in the class of monofractal processes and we derive the related characterization functions. Our formula in the case of Gaussian input processes also gives a queueing result which is in good agreement with the theory of Gaussian processes. Applying the approximation we provide a new practical method for queueing performance estimation of general multifractal traffic. The validation of the method based on both analysis of simulations and measured network traffic have also been presented. Copyright (C) 2003 John Wiley Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1002/dac.566 | INTERNATIONAL JOURNAL OF COMMUNICATION SYSTEMS |
Keywords | Field | DocType |
Gaussian processes, multifractality, network traffic, queueing analysis | Applied mathematics,Mathematical optimization,Computer science,Real-time computing,Layered queueing network,Queueing theory,Gaussian,Gaussian process,Asymptotic analysis,Fractional Brownian motion,Multifractal system,Heavy traffic approximation | Journal |
Volume | Issue | ISSN |
16 | 2 | 1074-5351 |
Citations | PageRank | References |
7 | 0.58 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Trang Dinh Dang | 1 | 70 | 6.70 |
| Sándor Molnár | 2 | 306 | 38.56 |
| István Maricza | 3 | 13 | 1.48 |