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基于均衡流量的城市停车费用优化模型

林湛,  四兵锋,  胡卉,  蒋明清,  杨小宝

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文章导航 > 交通运输工程学报  > 2014 >  14(5): 82-89
林湛, 四兵锋, 胡卉, 蒋明清, 杨小宝. 基于均衡流量的城市停车费用优化模型[J]. 交通运输工程学报, 2014, 14(5): 82-89.
引用本文: 林湛, 四兵锋, 胡卉, 蒋明清, 杨小宝. 基于均衡流量的城市停车费用优化模型[J]. 交通运输工程学报, 2014, 14(5): 82-89.
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LIN Zhan, SI Bing-feng, HU Hui, JIANG Ming-qing, YANG Xiao-bao. Optimization model of urban parking fare based on equilibrium flow[J]. Journal of Traffic and Transportation Engineering, 2014, 14(5): 82-89.
Citation: LIN Zhan, SI Bing-feng, HU Hui, JIANG Ming-qing, YANG Xiao-bao. Optimization model of urban parking fare based on equilibrium flow[J]. Journal of Traffic and Transportation Engineering, 2014, 14(5): 82-89.
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基于均衡流量的城市停车费用优化模型

  • 1.

    北京交通大学 交通运输学院, 北京 100044

  • 2.

    滑铁卢大学 土木与环境工程系, 安大略 滑铁卢 N2L 3G1

  • 3.

    长安大学 汽车学院, 陕西 西安 710064

基金项目: 

国家自然科学基金项目 71071016

国家自然科学基金项目 71210001

中央高校基本科研业务费专项资金项目 2012JBZ005

中央高校基本科研业务费专项资金项目 2014G1221014

中央高校基本科研业务费专项资金项目 2014G1221020

详细信息
    作者简介:

    林湛(1974-), 男, 山东临朐人, 北京交通大学工学博士研究生, 从事城市交通系统优化研究

    四兵锋(1972-), 男, 河北邢台人, 北京交通大学副教授, 工学博士

  • 中图分类号: U491.51

Optimization model of urban parking fare based on equilibrium flow

  • 1.

    School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China

  • 2.

    Department of Civil and Environmental Engineering, University of Waterloo, Waterloo N2L 3G1, Ontario, Canada

  • 3.

    School of Automobile, Chang'an University, Xi'an 710064, Shaanxi, China

More Information
    Author Bio:

    LIN Zhan(1974-), male, doctoral student, +86-10-51684589, 08114221@bjtu.edu.cn

    SI Bing-feng(1972-), male, associate professor, PhD, +86-10-51684589, bfsi@bjtu

    摘要
  • 摘要: 基于随机用户平衡原则, 分析了出行者的路径选择和停车选择行为, 建立了满足Logit关系的城市道路停车流量分配模型。基于收益管理思想, 以停车收益最大为决策目标, 建立了城市停车费用的双层规划模型, 并以7个节点和2个停车场的小型网络进行实例验证。分析结果表明: 当停车需求为10 000pcu·h-1时, 随着停车场2停车费用的提高, 停车流量不断向停车场1转移, 停车场1在停车费用不变的情况下收益不断增加, 当停车场2的停车费用为4元·h-1时, 总的停车收益达到最大; 当停车需求为20 000pcu·h-1时, 随着停车费用的上升, 总的停车收益将持续增加; 2个停车场之间存在博弈关系, 停车费用存在纳什均衡点, 当停车需求为10 000pcu·h-1时, 2个停车场的最优停车费用均为5元·h-1; 当停车需求为20 000pcu·h-1时, 2个停车场的最优停车费用均为最高限价10元·h-1。

     

    Abstract: Based on stochastic user equilibrium principle, the route choice and parking choice behaviors of travelers were analyzed, and the urban road parking assignment model meeting the logit relation was set up.Based on the revenue management ideology, the maximum parking revenue was taken as decision target, the bi-level programming model of urban parking fare was set up, and the example verification was carried out by using a small-size network with 7 nodes and 2 parking plots.Analysis result shows that when parking demand is 10 000 pcu·h-1, the parking flow will continue to shift from parking plot 2 to parking plot 1 with the increase of parking fare of plot 2, the parking revenue of parking plot 1 increases unceasing though its fare has no change.The total parking revenue reaches the maximum value when the parking fare of plot 2 is 4 yuan·h-1.When parking demand is 20 000 pcu·h-1, the total parking revenue will continue to increase with the increase of parking fare.On the other hand, the game relation exists betweenthe two parking plots and there is a Nash equilibrium point.In the case of 10 000 pcu·h-1, the optimal fare is 5 yuan·h-1 for the two parking plots, while the optimal fare is ceiling price 10 yuan·h-1 in the case of 20 000 pcu·h-1.

     

    • HTML全文

  • 图  1  停车选择过程

    Figure  1.  Parking choice process

    下载: 全尺寸图片 幻灯片

    图  2  算法流程

    Figure  2.  Algorithm flow

    下载: 全尺寸图片 幻灯片

    图  3  网络结构

    Figure  3.  Network structure

    下载: 全尺寸图片 幻灯片

    图  4  平峰时段停车场2停车费用变化时的停车收益

    Figure  4.  Parking revenues in flat peak period when parking fare of plot 2changes

    下载: 全尺寸图片 幻灯片

    图  5  高峰时段停车场2停车费用变化时的停车收益

    Figure  5.  Parking revenues in peak period when parking fare of plot 2changes

    下载: 全尺寸图片 幻灯片

    图  6  平峰时段停车场2的最优停车费用与停车场1停车费用的关系

    Figure  6.  Relations between optimal parking fare of plot 2and parking fare of plot 1in flat peak period

    下载: 全尺寸图片 幻灯片

    图  7  高峰时段停车场2的最优停车费用与停车场1停车费用的关系

    Figure  7.  Relations between optimal parking fare of plot 2and parking fare of plot 1in flat peak period

    下载: 全尺寸图片 幻灯片

    图  8  平峰时段停车场1的最优停车费用与停车场2停车费用的关系

    Figure  8.  Relations between optimal farking fare of plot 1and parking fare of plot 2in flat peak period

    下载: 全尺寸图片 幻灯片

    图  9  高峰时段停车场1的最优停车费用与停车场2停车费用的关系

    Figure  9.  Relations between optimal parking fare of plot 1and parking fare of plot 2in peak period

    下载: 全尺寸图片 幻灯片

    图  10  平峰时段的纳什均衡点

    Figure  10.  Nash equilibrium point in flat peak period

    下载: 全尺寸图片 幻灯片

    图  11  高峰时段的纳什均衡点

    Figure  11.  Nash equilibrium point in peak period

    下载: 全尺寸图片 幻灯片

    表  1  路段参数

    Table  1.   Road section parameters
    下载: 导出CSV

    表  2  停车场参数

    Table  2.   Parameters of parking plots
    下载: 导出CSV

    表  3  不同路段的计算结果

    Table  3.   Calculation results for different road sections
    下载: 导出CSV

    表  4  不同停车场的计算结果

    Table  4.   Calculation results for different parking plots
    下载: 导出CSV
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