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变分不等式在运输网络中的运用
引用本文:黄渊.变分不等式在运输网络中的运用[J].四川理工学院学报(自然科学版),2011(6):706-709.
作者姓名:黄渊
作者单位:西南民族大学经济学院
摘    要:根据均衡的定义以及与之等价的变分不等式,讨论了运输网络中存在两种不同但相关的流量的情况.最后给出了相关流量的存在性条件,即运输网络中流量成本达到最小的条件.

关 键 词:运输网络  变分不等式  一致单调  一致Lipschitz连续

Application of Variational Inequalities in Transportation Networks
HUANG Yuan.Application of Variational Inequalities in Transportation Networks[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011(6):706-709.
Authors:HUANG Yuan
Institution:HUANG Yuan(College of Economics,Southwest University for Nationalities,Chengdu 610041,China)
Abstract:Based on the definition of equilibrium and the equivalent variational inequalities,two different but related flows in transportation networks are analyzed,and then existence conditions of the relevant flows are put forward,i.e,the conditions on which cost of the flows in the transportation networks is the smallest.
Keywords:transportation network  variational inequalities  uniformly monotone  uniformly Lipschitz continuity
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