基于亚偏好演化的生产设备合作网络模型

A Collaboration Model of Manufacturing Equiments Based on Sublinear Preferential Attachment

从复杂网络角度研究生产制造企业系统的拓扑结构,对产品的生产设备组成系统从无标度网络的角度来研究。由于生产设备系统的复杂性增强,企业的设备拓扑结构日益复杂,因此,研究企业拓扑结构,挖掘它们之间相互作用的信息变得日益重要。以BA模型为启示,以Newman等人的合作网络研究模型为基础,并根据其它研究的结论,提出了符合合作网络实际情况的生产制造企业亚线性偏好连接模型,并对α=1这种极端情况的动态方程进行了推导。最后,对亚线性的不同情况进行数值模拟,得出了模型的幂律指数范围从(2,∞),解释了存在的合作网络的幂律指数的存在的合理性。

The paper studies the topology of manufacturing industry especially the relation between equipments within the regime of product in terms of scale-free networks. The relation between the equipments of the manufacturing industry becomes more and more intricate. As a result, getting the information and the topology of the networks is becoming a significant task. Inspired by the collaboration networks of Newman＇s, a sublinear collaboration network of manufacturing industry is proposed based on sublinear preferential attachment. Furthermore, the dynamic equation is deduced when α=1. Eventually, this paper simulates for different situations, and presents that the exponential scope ranges from 2 to, this explains the reasonableness of the studied collaboration networks by many scientists.