| 随机交通均衡配流模型及其等价的变分不等式问题 |
| |
| 引用本文： | 周晶.随机交通均衡配流模型及其等价的变分不等式问题[J].系统科学与数学,2003,23(1):120-127. |
| |
| 作者姓名： | 周晶 |
| |
| 作者单位： | 南京大学管理科学与工程研究院,南京,210093 |
| |
| 基金项目： | 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.
|
| 关 键 词： | 交通网络 随机用户均衡配流 变分不等式 互补问题 凸规划 |
| 修稿时间： | 1999年11月4日 |
STOCHASTIC USER EQUILIBRIUM AND ITS VARIATIONAL INEQUILITY PROBLEM |
| |
| Zhou Jing.STOCHASTIC USER EQUILIBRIUM AND ITS VARIATIONAL INEQUILITY PROBLEM[J].Journal of Systems Science and Mathematical Sciences,2003,23(1):120-127. |
| |
| Authors: | Zhou Jing |
| |
| Institution: | Graduate School of Management Science and Engineering, Nanjing University, Nanjing 210093,P.R.China |
| |
| Abstract: | 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. |
| |
| Keywords: | Transportation network stochastic user equilibrium assignment variational inequality complementary problem convex programming |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
