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中国科学院大学学报 ›› 2005, Vol. 22 ›› Issue (2): 129-134.DOI: 10.7523/j.issn.2095-6134.2005.2.001

• 论文 •    下一篇

环境因素下确定最优行驶速度的双层规划模型(英文)

杨文国1, 郭田德1, 高自友2, 赵彤1   

  1. 1. 中国科学院研究生院数学系, 北京 100049;
    2. 北京交通大学交通运输学院, 北京 100044
  • 发布日期:2005-03-15
  • 基金资助:

    supportedbyHi TechResearchandDevelopmentProgramofChina (863program ;2 0 0 2AA10 3 0 61) ;NationalNaturalScienceFoundationofChina(60 2 410 0 6)

A Bi-level Programming Model for the Optimal Velocity Problems Under Environmental Objective

YANG Wen-Guo1, GUO Tian-De1, GAO Zi-You2, ZHAO Tong1   

  1. 1. Department of Mathematics, Graduate School of the Chinese Academy of Sciences, Beijing 100049, China;
    2. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • Published:2005-03-15

摘要:

首先给出了考虑环境污染因素的双层规划城市交通配流模型,上层要求系统总的出行时间和CO排放总量最小,下层是一个弹性需求的UE问题;并设计了一个平衡迭代算法,对所给模型进行了求解,从而能得到车辆在各路段上的最优行驶速度;最后给出了两个简单的算例,对该模型及相应的求解算法进行了验证.

关键词: 双层规划, CO排放量, 最优速度

Abstract:

In this paper a bi-level programming model is proposed to describe the traffic assignment problem under environmental objective. The upper problem is to minimize the system travel cost and the total amount of CO produced by certain vehicular velocity, while the lower one is a user equilibrium problem under elastic demand. The equilibrium iterative solution algorithm is represented so that the optimal vehicular velocity of the model is obtained. At last some simple numerical results are given to illustrate the applications of the model.

Key words: level programming, CO emission, optimal velocity

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