工业共生网络演化的小世界性及稳定性分析

Analysis of the Small-World Characteristics and Stability of Industrial Symbiosis Network Evolution

分别以丹麦Kalundborg市和中国贵糖集团为例,运用复杂网络理论研究了自主实体共生和复合实体共生网络演化过程中的小世界性及其稳定性问题.研究表明:无论是自主实体共生还是复合实体共生其共生网络演化过程均呈现小世界性不断增强特征;在动态选择性连续点攻击方面,自主实体共生较复合实体共生具有更强的攻击耐受性,而在动态选择性连续边攻击方面,由于复合实体共生网络结构的人为精心构建,其一开始稳定性较强,但随着攻击的持续,其抗攻击能力迅速降落,并落后于自主实体共生网络.

The industrial symbiosis networks can be divided into autonomous entities symbiosis and compound entities symbiosis.This paper studied their small-world characteristics and stability in the evolution process based on the complex networks theory for the cases of Kalundborg of Denmark and China＇s Guitang group,respectively.The main findings were：（ⅰ） The small-world characteristics of the two symbiosis modes were gradually enhanced during their evolutions whether it was autonomous or compound entities symbiosises.（ⅱ） The autonomous entities symbiosis can withstand more severely dynamic,selective and continuous point attack than the compound one.However,when facing dynamic,selective and continuous edge attack,the compound entities symbiosis was more stable than the autonomous one in the very early stages because its network structure was planned deliberately. But as the attack went on,its resistant ability dropped rapidly than that of the autonomous entities symbiosis.