Efficient routing strategies in scale-free networks with limited bandwidth

We study the traffic dynamics in complex networks where each link is assigned a limited and identical bandwidth. Although the first-in-first-out (FIFO) queuing rule is widely applied in the routing protocol of information packets, here we argue that if we drop this rule, the overall throughput of the network can be remarkably enhanced. We propose some efficient routing strategies that do not strictly obey the FIFO rule. Compared to the routine shortest-path strategy, throughput for both Barabási-Albert (BA) networks and the Internet can be improved by a factor of more than five. We calculate the theoretical limitation of the throughput. In BA networks, our proposed strategy can achieve 88% of the theoretical optimum, yet for the Internet, it is about 12%, implying that we still have a huge space to further improve the routing strategy for the Internet. Finally, we discuss possibly promising ways to design more efficient routing strategies for the Internet.

[1]  Adilson E. Motter,et al.  Resource allocation pattern in infrastructure networks , 2008, 0801.1877.

[2]  Marián Boguñá,et al.  Competition and adaptation in an Internet evolution model. , 2004, Physical review letters.

[3]  Tao Zhou,et al.  Evolution of the Internet and its cores , 2008 .

[4]  Rui Jiang,et al.  The effect of bandwidth in scale-free network traffic , 2007 .

[5]  Shi Zhou.  Understanding the evolution dynamics of internet topology. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  A-L Barabási,et al.  Separating internal and external dynamics of complex systems. , 2004, Physical review letters.

[7]  Wen-Xu Wang,et al.  Integrating local static and dynamic information for routing traffic. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Shi Zhou,et al.  Accurately modeling the Internet topology , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  M. A. de Menezes,et al.  Fluctuations in network dynamics. , 2004, Physical review letters.

[10]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[11]  Tao Zhou,et al.  Traffic dynamics based on local routing protocol on a scale-free network. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Zoltán Toroczkai,et al.  Structural bottlenecks for communication in networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Guanrong Chen,et al.  Abrupt transition to complete congestion on complex networks and control. , 2009, Chaos.

[14]  Nong Ye,et al.  Onset of traffic congestion in complex networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Wenxu Wang,et al.  Traffic dynamics in scale-free networks with limited buffers and decongestion strategy , 2008 .

[16]  Tao Zhou,et al.  Efficient routing on scale-free networks based on local information , 2006 .

[17]  R. Pastor-Satorras,et al.  Generation of uncorrelated random scale-free networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  R Pastor-Satorras,et al.  Dynamical and correlation properties of the internet. , 2001, Physical review letters.

[19]  Yong Yu,et al.  Transport optimization on complex networks , 2007, Chaos.

[20]  B. Tadić,et al.  Jamming and correlation patterns in traffic of information on sparse modular networks , 2009, 0904.1082.

[21]  Yong Yu,et al.  Optimal routing on complex networks , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  Guo-Jie Li,et al.  Enhancing the transmission efficiency by edge deletion in scale-free networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Huan Zhang,et al.  An efficient approach of controlling traffic congestion in scale-free networks , 2006, ArXiv.

[24]  K. Goh,et al.  Universal behavior of load distribution in scale-free networks. , 2001, Physical review letters.

[25]  Yamir Moreno,et al.  Dynamics of jamming transitions in complex networks , 2005 .

[26]  Beom Jun Kim,et al.  Attack vulnerability of complex networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  M. Barthelemy.  Betweenness centrality in large complex networks , 2003, cond-mat/0309436.

[28]  A Díaz-Guilera,et al.  Communication in networks with hierarchical branching. , 2001, Physical review letters.

[29]  Zonghua Liu,et al.  Self-adjusting routing schemes for time-varying traffic in scale-free networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  A. Motter,et al.  Fluctuation-driven capacity distribution in complex networks , 2008, 0805.3725.

[31]  Alex Arenas,et al.  Scaling of fluctuations in traffic on complex networks. , 2006, Physical review letters.

[32]  Tao Zhou,et al.  EFFICIENT ROUTING ON SCALE-FREE NETWORKS , 2007 .

[33]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[34]  Ljupco Kocarev,et al.  Traffic Dynamics in Scale-Free Networks , 2006, Complexus.

[35]  G. J. Rodgers,et al.  Local Information Based Algorithms for Packet Transport in Complex Networks , 2006, International Conference on Computational Science.

[36]  Bo Hu,et al.  Efficient routing on complex networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  Guido Caldarelli,et al.  Scale-Free Networks , 2007 .

[38]  J. Rogers.  Chaos , 1876 .

[39]  Alessandro Vespignani,et al.  Large-scale topological and dynamical properties of the Internet. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  Ming Tang,et al.  An adaptive routing strategy for packet delivery in complex networks , 2007, ArXiv.

[41]  G. J. Rodgers,et al.  Preferential behaviour and scaling in diffusive dynamics on networks , 2007, cond-mat/0701785.

[42]  Yamir Moreno,et al.  Improved routing strategies for Internet traffic delivery. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  J. Gómez-Gardeñes,et al.  Scaling breakdown in flow fluctuations on complex networks. , 2008, Physical review letters.

[44]  Bing-Hong Bing-Hong,et al.  Traffic Flow and Efficient Routing on Scale-Free Networks: A Survey , 2007 .

[45]  Xiang Ling,et al.  Global dynamic routing for scale-free networks. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[46]  Yudong Sun,et al.  Collectively optimal routing for congested traffic limited by link capacity. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[47]  Wen-Xu Wang,et al.  Method to enhance traffic capacity for scale-free networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[48]  Alexandre Arenas,et al.  Optimal network topologies for local search with congestion , 2002, Physical review letters.

[49]  Tao Zhou,et al.  Scaling behavior of an artificial traffic model on scale-free networks , 2007 .

[50]  G. J. Rodgers,et al.  Transport on Complex Networks: Flow, Jamming and Optimization , 2007, Int. J. Bifurc. Chaos.