摘要Different routing strategies may result in different behaviour of traffic on internet. We analyse the correlation of traffic data for three typical routing strategies by the detrended fluctuation analysis (DFA) and find that the degree of correlation of the data can be divided into three regions, i.e. weak, medium, and strong correlation. The DFA scalings are constants in both the regions of weak and strong correlations but monotonically increase in the region of medium correlation. We suggest that it is better to consider the traffic on complex network as three phases, i.e. the free, buffer, and congestion phase, than just as two phases believed before, i.e. the free and congestion phase.
Abstract：Different routing strategies may result in different behaviour of traffic on internet. We analyse the correlation of traffic data for three typical routing strategies by the detrended fluctuation analysis (DFA) and find that the degree of correlation of the data can be divided into three regions, i.e. weak, medium, and strong correlation. The DFA scalings are constants in both the regions of weak and strong correlations but monotonically increase in the region of medium correlation. We suggest that it is better to consider the traffic on complex network as three phases, i.e. the free, buffer, and congestion phase, than just as two phases believed before, i.e. the free and congestion phase.
[1] Huberman B A and Lukose R M 1997 Science 277 535 [2] Guimer\'a R, D\'\i az-Guilera A, Vega-Redondo F,Cabrales A and Arenas A 2002 Phys. Rev. Lett. 89 248701 [3] Moreno Y, Pastor-Satorras R, Vazquez A and Vespignani A 2003 Europhys. Lett. 62 292 [4] Echenique P Gomez-Gardenes J and Moreno Y 2004 cond-mat/0412053 [5] Echenique P Gomez-Gardenes J and Moreno Y 2004 Phys.Rev. E 70 056105 [6] Zhao L, Lai Y, Park K and Ye N 2005 Phys. Rev. E 71 026125 [7] Yin C, Wang B, Wang W, Zhou T and Yang H 2006 Phys. Lett. A 351 220 [8] Wang W, Wang B, Yin C, Xie Y and Zhou T 2006 Phys. Rev.E 73 026111 [9] Liu Z, Ma W, Zhang H, Sun Y and Hui P 2006 Physica A 370 843 [10] Echenique P, Gomez-Gardenes J and Moreno Y 2004 Phys.Rev. E 70 056105 [11] Echenique P, Gomez-Gardenes J and Moreno Y 2005 Europhys. Lett. 71 325 [12] Zhang H, Liu Z, Tang M and Hui P 2007 Phys. Lett. A 364 177 [13] Peng C, Buldyrev S V, Havlin S, Simons M, Stanley H E andGoldberger A L 1994 Phys. Rev. E 49 1685 [14] Peng C, Havlin S, Stanley H E and Goldberger A L 1995 Chaos 5 82 [15] Liu Y, Gopikrishnan P, Cizeau P, Meyer M, Peng C and Stanley H E1999 Phys. Rev. E 60 1390 [16] Yang H, Zhao F, Qi L and Hu B 2004 Phys. Rev. E 69 066104 [17] Chen Z, Hu K, Carpena P, Bernaola-Galvan P, Stanley H E andIvanov P 2005 Phys. Rev. E 71 011104 [18] Liu Z, Lai Y, Ye N and Dasgupta P 2002 Phys. Lett. A 303 337
2007, Vol. 24 
