无标度网络中灾害蔓延的应急响应分析  

Analysis on the Emergent Response to Disaster Spreading in Scale-Free Network

作　　者：张振文[1] 谭欣[1] 欧阳敏[2] 余明辉[2] 洪流[2] 

机构地区：[1]衡阳师范学院经济与法律系,湖南衡阳421008 [2]华中科技大学系统工程研究所,湖北武汉430074

出　　处：《数学的实践与认识》2011年第5期75-84,共10页Mathematics in Practice and Theory

摘　　要：对无标度网络中灾害蔓延的应急响应进行了分析,根据系统的网络结构和灾害蔓延的当前状况制定出不同的应急策略.为评估各种策略的优劣,仿真说明了目标攻击和随机攻击下各种应急策略的异同.接着,讨论了各种策略在应急响应时间变化时,灾害得以控制所需的最大最少外部资源数量的变化.最后,在总资源数量和应急响应时间的不同组合下,分析了最优应急策略的选择.在资源受限情况下,同时考虑网络结构和蔓延现状的策略是最佳选择.The emergent response to disaster spreading in Scale-free network was analyzed, recovery strategies were formulated based on information about the network topology and current network state. In order to assess their effects, the differences of those response strategies were discussed under random and targeted attack by means of simulation. And then, for different emergent response time, the maximum of minimum resources quantity which guarantees the complete recovery of network for each type of scenario were found by simulations. Finally, the most effective response strategies were studied for different combinations of total resources quantity and response time. When the resources are limited, the strategy considering both network topology and current spreading state is the best choice.

关 键 词：无标度网络 灾害蔓延 应急策略 最大最少资源数量 

分 类 号：O157.5[理学—数学]