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基于多种不确定性参数分布的U-GERT网络模型及其应用研究
引用本文:杨保华,方志耕,张娜,刘思峰,郭本海.基于多种不确定性参数分布的U-GERT网络模型及其应用研究[J].中国管理科学,2010,18(2):96-101.
作者姓名:杨保华  方志耕  张娜  刘思峰  郭本海
作者单位:南京航空航天大学, 江苏南京210096
基金项目:国家自然科学基金项目(90924022,70971064);南京航空航天大学创新集体和科研创新基金项目(Y0488-091);博士点基金(200802870020)
摘    要:针对随机网络研究中活动参数的分布是不确定信息的情况,本文提出了不确定信息的GERT网络模型,并利用信号流图原理研究了不确定信息的GERT网络仿真算法;研究了不确定变量GERT网络的矩母函数的构造,并对其重要的性质做了详细的探讨;最后通过算例仿真,验证本文提出的不确定信息的GERT网络模型及其仿真算法能够有效的解决现实生活中不确定信息对GERT网络参数的影响,说明模型与算法正确可行。

关 键 词:不确定理论  GERT网络  多元不确定信息  不确定变量  
收稿时间:2009-6-30
修稿时间:2010-1-15

The Research of U-GERT Network Model and Its Application Based on Multiple Uncertain Parameters
YANG Bao-hua,FANG Zhi-geng,ZHANG Na,LIU Si-feng,GUO Ben-hai.The Research of U-GERT Network Model and Its Application Based on Multiple Uncertain Parameters[J].Chinese Journal of Management Science,2010,18(2):96-101.
Authors:YANG Bao-hua  FANG Zhi-geng  ZHANG Na  LIU Si-feng  GUO Ben-hai
Affiliation:School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210096, China
Abstract:According to the situation that the distribution of activity parameters is uncertain in the research of random network, this paper presents the GERT network model based on uncertain information, using the signal flow graph principle to study the simulation algorithm of GERT network based on uncertain irr formation, and studies the construction of moment generating funotion in the GERT network with uncer twin variables.Its fundamental properties are also discussed in detail. Finally, a simulation example is given to illustrate that the GERT network model based on uncertain information and the simulation algorithm can effectively solve the influence of uncertain information for GERT network parameters in daily life. It shows that the model and algorithm are correct and feasible.
Keywords:uncertain theory  GERT network  multiple uncertain information  uncertain variables  
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