基于时延耦合映象格子的相继拥堵模型
doi: 10.3724/SP.J.1146.2006.01464
Cascading Failure with Temporal Arrearage in Coupled Map Lattice
-
摘要: 实际网络中由于拥塞、带宽、传输速度等因素,通常存在耦合时延。该文提出一种带时延耦合映象格子的相继拥堵模型,在此基础上研究交通路网上各个节点的非线性动力学特征,交通拥堵在路网上的形成机理与传播的复杂动力学行为,拥堵故障在网络中扩散的过程。模拟网络中随机发生拥堵和蓄意攻击所引发的两种相继拥堵策略,并推导出网络中故障承受能力的阈值范围。Abstract: There usually exists the coupling temporal arrearage circs in the real network owing to the congestion, bandwidth and transmission velocity. Therefore, one new kinds of cascading failure model with the coupling temporal arrearage character is come into being. To the emphasis, the new model has been applied into studying the highway traffic network. In this paper, the nonlinear dynamics feature of the traffic congestion has been studied, the formation mechanism of the traffic congestion in the traffic networks has been researched, and its complex dynamics spreading behavior has been probed, the diffusion of traffic congestion in the complex networks has been analyzed. Two kinds of attack strategies, the random and the intentional, which bring the cascading failure of networks are simulated, and then the threshold value distribution is calculated which influent the networks efficiency and networks enduring abilities for the cascading failure.
-
Watts D J. Small Worlds: The Dynamics of NetworksBetweenOrder and Randomness. New Jersey: PrincetonUniversity Press, 1999: 1-80.[2]Albert R and Barabsi A-L. Statistical mechanics of complexnetworks[J].Reviews of Modern Physics.2002, 74:47-97[3]陈关荣. 复杂动力网络的研究将是新世纪科学技术前沿的战略性课题之一. 复杂网络-系统结构研究文集(第二集), 上海理工大学, 2004: 115-116.[4]Strogatz S H. Exploring complex networks[J].Nature.2001, 410:268-276[5]Crucitti P, Latora V, and Marchiori M. Model for cascadingfailures in complex networks[J].Phys. Rev. E.2004, 69:045104-[6]Kaneko K. Coupled Map Lattices. Singapore:World Scientific,1992: 3-5.[7]Wang X F and Xu J. Cascading failures in coupled maplattices[J].Phys. Rev. E.2004, 70:056113-
计量
- 文章访问数: 3088
- HTML全文浏览量: 80
- PDF下载量: 799
- 被引次数: 0