拟变分不等式研究及其在交通问题中的应用  

Some Research on the Quasi-variational Inequality and its Application in Traffic

作　　者：郭小亚[1] 张从军[2] 

机构地区：[1]东南大学数学系,江苏南京211189 [2]南京财经大学应用数学学院,江苏南京210046

出　　处：《应用数学》2015年第4期743-752,共10页Mathematica Applicata

基　　金：国家自然科学基金(11071109)

摘　　要：本文研究一类拟变分不等式问题解的存在性与唯一性,构造解的两种算法,即投影算法与超平面投影算法,给出相应的收敛性分析.作为本文结果的应用,我们研究了交通流量和环境影响的问题,并通过数值实验模拟相关结果.In this paper, we work on the existence and the uniqueness of solution for a class of quasivariational inequality problems. We construct two algorithms for this quasi-variational inequality problem： projection algorithm and hyperplane projection algorithm,and give convergence analysis respectively. As the application of results obtained in this paper, we consider the problem of traffic flow and environmental influence, and.give the simulation by numerical experiment.

关 键 词：拟变分不等式 存在唯一性 投影算法 超平面投影算法 

分 类 号：O177.9[理学—数学]