公交换乘优惠的双层规划模型

王 镜, 邵春福, 毛科俊

中国公路学报 ›› 2008, Vol. 21 ›› Issue (2) : 93-97.

PDF全文下载(411 KB)
PDF全文下载(411 KB)
中国公路学报 ›› 2008, Vol. 21 ›› Issue (2) : 93-97.
论文

公交换乘优惠的双层规划模型

  • 王 镜1, 邵春福1, 毛科俊2
作者信息 +

Bi-level Programming Model for Transfer Benefit of Public Transportation

  • WANG Jing1, SHAO Chun-fu1, MAO Ke-jun2
Author information +
文章历史 +

摘要

对城市公交线网换乘优惠幅度的确定问题进行了研究。考虑了换乘优惠政策的实施对乘客采用公交出行的需求量和乘客对公交线网路径选择行为改变的影响, 将该问题抽象成一个双层非线性规划模型, 上层模型实现网络经济效益最大化, 下层模型为基于弹性需求的随机用户平衡模型。最后通过一个算例来建立公交换乘优惠的双层模型, 并采用基于惩罚函数的直接搜索法对模型进行求解。结果表明:该双层模型能够在实现公交网络效益最大化时确定合理的换乘优惠幅度。

Abstract

The optimal range of urban transit network transfer benefit was discussed. Considering the influences of transfer benefit policy on the public traffic demand and routing decision for passenger travel in a transit network, a bi-level nonlinear programming model was introduced. The upper level can obtain the maximum net economic benefit, while the lower level is a stochastic user equilibrium transit assignment model with elastic demand. An example was given and the direct searching method based on penalty function was used to solve the model. The results show that the bi-level programming model can determine a reasonable range of transit network transfer benefit while maximize the net economic benefit.

关键词

交通工程 / 公交网络 / 双层非线性规划 / 换乘优惠 / 需求函数

Key words

traffic engineering / transit network / bi-level nonlinear programming / transfer benefit / demand function

引用本文

导出引用
王 镜, 邵春福, 毛科俊. 公交换乘优惠的双层规划模型[J]. 中国公路学报, 2008, 21(2): 93-97
WANG Jing, SHAO Chun-fu, MAO Ke-jun
.
Bi-level Programming Model for Transfer Benefit of Public Transportation[J]. China Journal of Highway and Transport, 2008, 21(2): 93-97
中图分类号: U491.17   

参考文献

[1] 周 晶, 盛昭瀚, 何建敏.弹性需求下公交网络系统票价结构的优化[J].自动化学报, 2001, 27(5):637-643.
ZHOU Jing, SHENG Zhao-han, HE Jian-min.Optimal Fare Design for Public Transport Networks with Elastic Demand[J].Acta Automatica Sinica, 2001, 27(5):637-643.
[2]王 健, 安 实, 徐亚国.道路拥挤定价下的公交收费模型研究[J].中国公路学报, 2005, 18(4):100-103.
WANG Jian, AN Shi, XU Ya-guo.Study of Bus Toll Model Under Urban Road Congestion Pricing[J].China Journal of Highway and Transport, 2005, 18(4):100-103.
[3]YANG H, HUANG H J.Principle of Marginal-cost Pricing: How Does It Work in a General Road Network [J].Transportation Research Part A, 1998, 32(1):45-54.
[4]林柏梁, 杨富社, 李 鹏.基于出行费用最小化的公交网络优化模型[J].中国公路学报, 1999, 12(1):79-83.
LIN Bo-liang, YANG Fu-she, LI Peng.Designing Optimal Bus Network for Minimizing Trip Times of Passenger Flows[J].China Journal of Highway and Transport, 1999, 12(1):79-83.
[5]张华歆, 周溪召.多模式交通网络的拥挤道路收费双层规划模型[J].系统工程理论方法及应用, 2005, 14(6):546-551.
ZHANG Hua-xin, ZHOU Xi-zhao.Bi-level Programming Model of Congestion Pricing Based on Mixed Traffic Network [J].Systems Engineering-Theory Methodology Application, 2005, 14(6):546-551.
[6]周雪梅, 杨晓光.基于ITS的公共交通换乘等待时间最短调度问题研究[J].中国公路学报, 2004, 17(2):82-84.
ZHOU Xue-mei, YANG Xiao-guang.Study of Dispatching at Minimum Waiting Time of Public Transportation Transfer Under the Condition of ITS [J].China Journal of Highway and Transport, 2004, 17(2):82-84.
[7]毛林繁.城市公交网络可靠性的双层规划模型[J].中国公路学报, 2002, 15(3):88-91.
MAO Lin-fan.Bilevel Programming Model for the Reliability of Public Transportation System[J].China Journal of Highway and Transport, 2002, 15(3):88-91.
[8]BELLEI G, GENTILE G, PAPOLA N.Network Pricing Optimization in Multi-user and Multimodal Context with Elastic Demand [J].Transportation Research Part B, 2002, 36(9):779-798.
[9]ADAMSLI A, TURNAU A.Simulation Support Tool for Real-time Dispatching Control in Public Transport[J].Transportation Research Part A, 1998, 32(2):73-87.
[10]李文勇, 王 炜, 陈学武.公交出行路径蚂蚁算法[J].交通运输工程学报, 2004, 4(4):105-108.
LI Wen-yong, WANG Wei, CHEN Xue-wu.Bus Travel Transit Path Based on Ant Algorithm [J].Journal of Traffic and Transportation Engineering, 2004, 4(4):105-108.
[11]罗文昌, 袁春华.弹性需求下的随机用户平衡模型及求解算法[J].重庆交通学院学报, 2003, 22(3):101-103.
LUO Wen-chang, YUAN Chun-hua.The Model with Stochastic User Equilibrium Assignment for Elastic Demand and the Solving Algorithm[J].Journal of Chongqing Jiaotong University, 2003, 22(3):101-103.

基金

国家重点基础研究发展计划(“九七三”计划)项目(2006CB705500)
PDF全文下载(411 KB)

1533

Accesses

0

Citation

Detail

段落导航
相关文章

/