无标度物流网络中延误扩散临界条件的仿真研究

Simulation on Critical Conditions of Delay Diffusion in Scale-free Logistics Network

针对无标度物流网络延误扩散发生的临界条件,应用平均场理论,建立以延误节点密度为标度的常微分方程,求解延误扩散的临界条件;通过设计物流网络中延误扩散仿真系统,生成具有无标度属性的虚拟网络,对临界条件进行了仿真验证。研究结果表明:无标度物流网络中存在少数具有较高度值的关键节点,一旦这些节点出现服务障碍,将导致更大范围内的延误和更快的延误扩散速率。

Aiming at the critical condition of delay diffusion in scale-free logistics network, a susceptibleinfected-susceptible(SIS) model based on the density of delay nodes is established by mean field theory,and the critical value is solved. By designing the delay diffusion simulation system in logistics network, a virtual network with scale-free attribute is generated, and the critical condition is verified by simulation.The results show that there are a few key nodes with high value in scale-free logistics network. Once these nodes have service obstades, compared with other nodes, it will lead to a larger range of delay and faster delay diffusion rate.