基于随机服务理论的复杂网络和人类动力学演化模型

项目名称： 基于随机服务理论的复杂网络和人类动力学演化模型

项目编号： No.70871082

项目类型： 面上项目

立项/批准年度： 2009

项目学科： 生物科学

项目作者： 郭进利

作者单位： 上海理工大学

项目金额： 24万元

中文摘要： 本项目研究了复杂网络和人类动力学演化模型:给出严密分析复杂网络的方法;正确计算Apollonian网络的度指数;研究节点批量到达的变速增长网络;实证分析供应链物流、图书借阅、短信实验及博客等数据;基于非齐次Poisson过程研究人类动力学等等.主要成果:1)提出增长网络中估计度分布的差分方程方法;2)给出Logistic曲线网络与估计复杂网络度分布新方法;3)建立节点幂律加速增长模型,发现无标度网络的幂律加速不变性;4)提出几何级数增长的择优与随机混合网络,发现无标度网络新节点量变到度指数质变的现象;5)提出邻域择优连接模型,分析网络自组织层次性;6)有向小世界网络上的舆论动力学研究;7)物流运作多重标度特性实证研究;8)提出具有服务时间的人类动力学模型;9)建立兴趣逐渐衰减的人类动力学模型,用非齐次Poisson 过程对模型进行分析;10)研究人类移动中标度律的起源;11)人类移动规律模型及其个体轨迹半径的精确解;12)生物运动标度特性的起源研究.在《美国物理评论》等期刊发表论文40余篇,被SCI收录22篇,出版译著一部,完成专著一部,成果总体达到先进水平.

中文关键词： 复杂网络;无标度网络;人类动力学;演化模型

英文摘要： In this project, we study evolution models of complex networks and human dynamics: Giving a rigorous approach to analyze complex networks; Calculating the degree distribution of Apollonian network correctly; Studying variable-speed growth networks with node arrival in batch; Analyzing the empirical data about supply chain logistics, library, short messages and weblog; Researching human dynamics by using non-homogeneous Poisson processes etc. We have: 1) proposed a difference equation approach to estimate the degree distribution in growing networks; 2) got the Logistic curve network and a new method of estimating the degree distribution of complex networks; 3) built a model which node growing accelerated in power-law, and found the power-law accelerating invariance of scale-free networks; 4) proposed a random geometrically growing network, and found the phenomenon that the degree exponent is changed by the size of new nodes; 5) proposed a neighborhood preferential attachment model to study hierarchical self-organization of networks; 6)studied opinion dynamics on directed small-world networks; 7)researched human dynamics scaling characteristics for logistics operation; 8) proposed a service-time model of human behavior dynamics; 9) built an interest attenuation model which describes the fact that people's interests become more stable after a long time, and analyzed it rigorously with non-homogeneous Poisson processes; 10) studied the origin of scaling law in human mobility; 11) obtained the exact solution of gyration radius of individual's trajectory for a simplified human regular mobility model; 12) researched scaling mobility patterns and collective movements. More than 40 papers published in PRE, EPL and other journals, including 22 articles cited by SCI. One ranslated monograph have been published; one completed monograph will be published. The results overall reached an advanced level.

英文关键词： complex network; scale-free network; human dynamics; evolution model