老节点间有相互连接的供应链型有向网络  

Supply Chain Type Directed Networks between Old Nodes Linked Mutually

作　　者：郭进利[1] 

机构地区：[1]上海理工大学管理学院,上海200093

出　　处：《系统管理学报》2007年第3期337-340,344,共5页Journal of Systems & Management

基　　金：上海市重点学科建设资助项目(T0502);上海市教委自然科学资助项目(05EZ35)

摘　　要：考虑了有向复杂网络老节点之间相互连接的概率,提出Poisson有向网络模型。发现这类网络节点的到达时间服从Γ-分布,从而,获得度分布的解析表达式。研究表明,Poisson有向网络的稳态平均入度分布和稳态平均出度分布表现为幂律分布,它的出度分布幂律特性受老节点之间相互连接的概率控制,但是入度分布与该概率无关.Considering the probability between old nodes linked mutually, this paper proposes a Poisson directed network. The paper investigates the degree distribution of nodes and stationary average degree distribution of networks. That the nodes arrival time obey Г-distribution is found in the paper. The dynamics of individual nodes in the system is predicted by using a Poisson process theory, and the connectivi- ty distribution is calculated analytically. The stationary average in-degree and out-degree distributions are power-law. Although the out-degree distribution is subjected to the probability between old nodes linked mutually, the in-degree distribution is independent on the probability.

关 键 词：复杂网络 无标度网络 有向网络 幂律 供应链 

分 类 号：O173[理学—数学]