随机交通均衡配流模型及其等价的变分不等式问题  

STOCHASTIC USER EQUILIBRIUM AND ITS VARIATIONAL INEQUILITY PROBLEM

作　　者：周晶[1] 

机构地区：[1]南京大学管理科学与工程研究院,南京210093

出　　处：《系统科学与数学》2003年第1期120-127,共8页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(70071049)资助课题

摘　　要：本文讨论了交通网络系统的随机用户均衡原理的数学表述问题.在路段出行成本是流量的单调函数的较弱条件下,对具有固定需求和弹性需求的模式,首次证明了随机均衡配流模型可表示为一个变分不等式问题,同时也说明了该变分不等式问题与相应的互补问题以及一个凸规划问题之间的等价关系.This paper deals with the stochastic user equilibrium (SUE) conditions and SUE assignment problem in urban transportation networks with the help of utility theory. It has been proved that an SUE assignment problem can be formulated as a variational inequality (VI) problem under a weak assumption. Moreover, the equivalent relationship among the variational inequality (VI) problem, the complementary problem and a convex programming is discussed. The case of elastic demand is also studied.

关 键 词：随机交通均衡配流模型 变分不等式 互补问题 凸规划 交通网络 

分 类 号：O221.5[理学—运筹学与控制论]