کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10369509 875504 2005 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fractional Ornstein-Uhlenbeck Lévy processes and the Telecom process: Upstairs and downstairs
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Fractional Ornstein-Uhlenbeck Lévy processes and the Telecom process: Upstairs and downstairs
چکیده انگلیسی
We model the workload of a network device responding to a random flux of work requests with various intensities and durations in two ways, a conventional univariate stochastic integral approach (“downstairs”) and a higher-dimensional random field approach (“upstairs”). The models feature Gaussian, stable, Poisson and, more generally, infinitely divisible distributions reflecting the aggregate work requests from independent sources. We focus on the fractional Ornstein-Uhlenbeck Lévy process and the Telecom process which is the limit of renewal reward processes where both the interrenewal times and the rewards are heavy-tailed. We show that the Telecom process can be interpreted as the workload of a network responding to job requests with stable infinite variance intensities and durations and that fractional Brownian motion (fBM) can be interpreted in the same way but with finite variance intensities. This explains the ubiquitous presence of fBM in network traffic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Signal Processing - Volume 85, Issue 8, August 2005, Pages 1523-1545
نویسندگان
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