复杂网络中基于疾病传播模型的阻塞传播

复杂网络是现实世界的抽象,交通网络是一个复杂巨系统。从网络复杂性理论出发,在SIR、SEIR等传统的疾病传播数学模型的基础上,结合实际定义流动形式为:易阻-阻塞-调整-易阻(Susceptible-Infected-Adjustive-Susceptible),提出SIAS模型,用以说明交通网络中的阻塞传播特性;并利用建立的SIAS模型,通过仿真进一步分析模拟了交通阻塞的传播状况,得到了许多有益的理论结果,有可能为交通运输网络规划、设计、建设和管理提供科学的研究手段和理论支持。

Spreading Congestions Based on Epidemical Models in Complex Networks

Complex networks are the abstraction of the realistic world, and the transportation network is a complicated and huge system. Basing on the theories of complex networks and traditional epidemiological models such as SIR, SEIR. A new model is proposed to account for particular characteristics of the spreading of traffic congestion, which is analyzed in detail. This improved model, termed the Susceptible-Infected-Adjustive-Susceptible (SIAS) model, allows us to determine the best strategies to alleviate congestion. This dissertation, investigating the spreading rules of congestion in transportation networks, may yield both practical recommendations and new insights about the prevalence of congestion over the networks.