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Traffic Fluctuations on Weighted Networks

Zhang, Y; Zhou, S; Zhang, Z; Guan, J; Zhou, S; Chen, G; (2012) Traffic Fluctuations on Weighted Networks. IEEE Circuits and Systems Magazine , 12 (1) pp. 33-44. 10.1109/MCAS.2011.2181075. Green open access

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Abstract

Traffic fluctuation has so far been studied on unweighted networks. However, many real traffic systems are better represented and understood as weighted networks, where nodes and links are assigned some weight values representing their physical properties such as capacity and delay. Here, we introduce a general random diffusion (GRD) model to investigate the traffic fluctuations on weighted networks, where a random walks choice of route is affected not only by the number of links a node has, but also by the weights of individual links. We obtain analytical solutions that characterize the relation between the average traffic and the fluctuations through nodes and links. Our analysis is supported by results of extensive numerical simulations. We observe that the value ranges of the average traffic and the fluctuations, through nodes or links, increase dramatically with the level of heterogeneity in link weights. This highlights the key role that link weight plays in traffic fluctuation and the necessity to study traffic fluctuations on weighted networks.

Type: Article
Title: Traffic Fluctuations on Weighted Networks
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/MCAS.2011.2181075
Publisher version: http://dx.doi.org/10.1109/MCAS.2011.2181075
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Telecommunication traffic, Telecommunication network management, Telecommunication congestion control, Delay, Fluctuations, Numerical simulation, Random processes
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/1346838
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