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A hierarchical clustering scheme approach to assessment of IP-network traffic using detrended fluctuation analysis
Authors:Takehisa Takuma  Masao Masugi
Institution:1. NTT East R&D Center, NTT East Corporation, 3-19-2, Nishishinjyuku, Shinjyuku-ku, Tokyo 163-8019, Japan;2. NTT Energy and Environment Systems Laboratories, NTT Corporation 3-9-11, Midori-cho, Musashino-shi, Tokyo 180-8585, Japan;1. Advanced Institute of Manufacturing with High-Tech Innovations, National Chung Cheng University, Chiayi, Taiwan;2. Department of Electrical Engineering, Advanced Institute of Manufacturing with High-Tech Innovations, National Chung Cheng University, Chiayi, Taiwan;1. School of School of Economics and Management, China University of Geosciences, Wuhan 430074, China;2. Center for Resources and Environmental Economic Research, China University of Geosciences, Wuhan 430074, China;1. University of Calabria, Italy;2. Heudiasyc, UMR CNRS 7253, Université de Technologie de Compiègne, France
Abstract:This paper presents an approach to the assessment of IP-network traffic in terms of the time variation of self-similarity. To get a comprehensive view in analyzing the degree of long-range dependence (LRD) of IP-network traffic, we use a hierarchical clustering scheme, which provides a way to classify high-dimensional data with a tree-like structure. Also, in the LRD-based analysis, we employ detrended fluctuation analysis (DFA), which is applicable to the analysis of long-range power-law correlations or LRD in non-stationary time-series signals. Based on sequential measurements of IP-network traffic at two locations, this paper derives corresponding values for the LRD-related parameter α that reflects the degree of LRD of measured data. In performing the hierarchical clustering scheme, we use three parameters: the α value, average throughput, and the proportion of network traffic that exceeds 80% of network bandwidth for each measured data set. We visually confirm that the traffic data can be classified in accordance with the network traffic properties, resulting in that the combined depiction of the LRD and other factors can give us an effective assessment of network conditions at different times.
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