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方格网络上部分用户可控时流量分配效率
引用本文:武小平,徐寅峰,方静. 方格网络上部分用户可控时流量分配效率[J]. 系统工程, 2012, 0(1): 104-108
作者姓名:武小平  徐寅峰  方静
作者单位:西安邮电学院管理工程学院;西安交通大学管理学院
基金项目:国家自然科学基金资助项目(70525004;60736027);陕西省教育厅人文社科基金资助项目(11JK0179);西安邮电学院青年基金面上项目(1040401)
摘    要:针对方格网络上部分用户可控的流量分配问题,给出了相应的分配策略,当路阻函数是线性函数时,分配效率是1;当路阻函数是非负、非递减的可微函数时,当1≤A≤2时,分配效率是1;当A>2时,分配效率是(A-1)2,其中A≥1为路阻函数的雅可比矩阵相似性系数。

关 键 词:方格网络  流量分配  路阻函数  用户均衡

Efficiency of Traffic Routing When Some Users Are Controlled in Grid Traffic Networks
WU Xiao-ping,XU Yin-feng,FANG Jing. Efficiency of Traffic Routing When Some Users Are Controlled in Grid Traffic Networks[J]. Systems Engineering, 2012, 0(1): 104-108
Authors:WU Xiao-ping  XU Yin-feng  FANG Jing
Affiliation:1(1.College of Management Engineering,Xi’an Institute of Posts and Telecommunications,Xi’an 710061,China;2.School of Management,Xi’an Jiaotong University,Xi’an 710049,China)
Abstract:Considering the situation in which some users are controlled while the others still chase their least cost so that the user equilibrium is formed,the efficiency is 1 if the latency functions are linear;and is 1 if 1≤A≤2;and is(A-1)2 if A>2 when the latency functions are nonnegative,non-decreasing and differentiable,where A≥1 is the comparability coefficient of Jacobian matrix of latency functions.
Keywords:Grid Network  Traffic Routing  Latency Function  User Equilibrium
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