Traffic fluctuation of random walks on weighted networks

Ling Xiang; Jing Xingli; Hu Maobin; Shi Qin

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Traffic fluctuation of random walks on weighted networks

Ling Xiang 1 #,Jing Xingli 2,Hu Maobin 3 *,Shi Qin 1

1.School of Transportation Engineering, Hefei University of Technology, Hefei 230044

2.School of Transportation Engineering, Hefei University of Technology, Hefei 230044;School of Engineering Science, University of Science and Technology of China, Hefei 230026

3.School of Engineering Science, University of Science and Technology of China, Hefei 230026

*Correspondence author

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Funding: Doctoral Program of the Ministry of Education（No.20120111120022）, National Natural Science Foundation of China (NNSFC) under Key Project（No.71301043, 71431003）

Opened online:20 May 2016

Accepted by: none

Citation: Ling Xiang,Jing Xingli,Hu Maobin.Traffic fluctuation of random walks on weighted networks[OL]. [20 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4688282

In real worlds, many systems can be better represented as weightednetworks. However, most studies of traffic fluctuations focus onbinary network. This paper studies the traffic fluctuation onweighted networks. Exact expressions for the traffic fluctuation$sigma_i$ as a function of $langle f_i angle$ on node $i$ onBarrat-Barth'elemy-Vespignani (BBV) weighted networks arederived. The effects of four different factors on trafficfluctuations are studied by extensive simulations: (i)the lengthof time window $M$; (ii) the network parameter $m$ of the BBVmodel; (iii) the weight parameter $delta$ of the BBV network; and(iv) the degree of node $k_i$. The results can help to understandthe influences of weight on the behavior of network traffic.

Keywords:Random walks; Weighted networks; Traffic fluctuation; Complex network

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