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

作　　者：姚红光[1] 肖恢翚 张航[1] Yao Hongguang;Xiao Huihui;Zhang Hang(Shanghai University of Engineering Science,Shanghai 201620,China)

机构地区：[1]上海工程技术大学,上海201620

出　　处：《系统仿真学报》2022年第4期901-909,共9页Journal of System Simulation

基　　金：国家社会科学基金(16BGL014)。

摘　　要：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.

关 键 词：无标度物流网络 延误扩散 临界条件 仿真检验 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]