留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

定制公交线路优化综述

马昌喜 郝威 沈金星 王超 杜波

马昌喜, 郝威, 沈金星, 王超, 杜波. 定制公交线路优化综述[J]. 交通运输工程学报, 2021, 21(5): 30-41. doi: 10.19818/j.cnki.1671-1637.2021.05.003
引用本文: 马昌喜, 郝威, 沈金星, 王超, 杜波. 定制公交线路优化综述[J]. 交通运输工程学报, 2021, 21(5): 30-41. doi: 10.19818/j.cnki.1671-1637.2021.05.003
MA Chang-xi, HAO Wei, SHEN Jin-xing, WANG Chao, DU Bo. Review on customized bus route optimization[J]. Journal of Traffic and Transportation Engineering, 2021, 21(5): 30-41. doi: 10.19818/j.cnki.1671-1637.2021.05.003
Citation: MA Chang-xi, HAO Wei, SHEN Jin-xing, WANG Chao, DU Bo. Review on customized bus route optimization[J]. Journal of Traffic and Transportation Engineering, 2021, 21(5): 30-41. doi: 10.19818/j.cnki.1671-1637.2021.05.003

定制公交线路优化综述

doi: 10.19818/j.cnki.1671-1637.2021.05.003
基金项目: 

国家自然科学基金项目 51808187

国家自然科学基金项目 71861023

国家自然科学基金项目 52062027

甘肃省教育厅双一流重大科研项目 GSSYLXM-04

湖南创新型省份建设专项 2020SK2098

湖南省教育厅科学研究项目 18B142

详细信息
    作者简介:

    马昌喜(1979-),男,湖北汉川人,兰州交通大学教授,工学博士,从事交通运输系统优化与设计研究

    通讯作者:

    沈金星(1985-),男,江苏如皋人,河海大学副教授,工学博士

  • 中图分类号: U113

Review on customized bus route optimization

Funds: 

National Natural Science Foundation of China 51808187

National Natural Science Foundation of China 71861023

National Natural Science Foundation of China 52062027

“Double-First Class” Major Research Programs of Educational Department of Gansu Province GSSYLXM-04

Innovative Province Construction Special Project of Hunan Province 2020SK2098

Scientific Research Project of Hunan Education Department 18B142

More Information
  • 摘要: 为全面回顾定制公交线路优化问题的研究进展,从优化目标、问题场景和求解算法3个方面对相关文献进行了归类分析。研究结果表明:定制公交线路的单目标优化研究主要集中在行驶时间、运营里程、运营成本、运营收益以及多种成本线性加权形成的系统总成本等方面,而多目标优化研究主要通过同时考虑运营成本、出行成本和服务质量中的2种或3种来实现;根据出发和到达站点的数量,定制公交线路优化的问题场景可分为“一对一”、“多对一”和“多对多”3种,针对停靠站点之间时间阻抗场景的研究主要集中在“静态时间阻抗”,对“动态时间阻抗”的研究较少;出行需求场景的研究也主要集中在“静态出行需求”,对于“动态出行需求场景”,一般通过两阶段优化策略进行求解;由于定制公交的线路优化问题属于一种特殊的车辆路径优化问题,精确求解算法适用于少量出行需求的分析案例,针对大规模出行需求的实际问题,一般采用启发式智能算法进行求解。未来的研究中,定制公交的线路优化需要考虑停车场设置和停靠点选择的影响,针对不同类型出行者设置特定的时间窗属性;此外,大数据背景下如何兼顾实时出行需求和运营成本约束,提供差异化的定制公交线路也将是具有挑战的研究方向。

     

  • 图  1  不同出行服务方式的关系

    Figure  1.  Relationship among different travel service modes

    图  2  定制公交服务流程

    Figure  2.  Service process of customized bus

    图  3  不同时期的研究成果分布

    Figure  3.  Distribution of research achievements in different periods

    图  4  典型出发站点和到达站点场景

    Figure  4.  Typical origin and destination station scenarios

    图  5  考虑实时需求的定制公交线路优化

    Figure  5.  Customized bus route optimization considering real-time demand

    图  6  遗传算法基本流程

    Figure  6.  Fundamental flow of genetic algorithm

    表  1  定制公交线网优化的目标函数类型及特征

    Table  1.   Types and characteristics of objective function for customized bus network optimization

    类型 优化目标 文献
    单目标 总行驶时间最小 [25]、[26]
    运营车辆数量最小 [30]
    总运营里程最小 [27]~[29]
    车辆运行成本最小 [31]~[33]
    运营收益最大 [34]~[37]
    系统总成本最小 [18]、[19]、[38]~[40]、
    [43]~[46]
    多目标 需求服务率最大和费用最小 [47]、[52]
    需求服务率最大、线网平均
    上座率最大和总成本最小
    [48]
    乘车时间消耗和定制
    公交运营成本最小
    [49]~[51]
    下载: 导出CSV

    表  2  出发站点和到达站点场景类型和特征

    Table  2.   Types and characteristics of departure and arrival station scenarios

    场景类型 场景特征 文献
    多对一 接驳服务 [25]、[29]、[38]、[39]、
    [44]、[46]、[58]
    多对多 设置多个上下客站点
    以提高覆盖率
    [33]、[34]、[36]、[37]、[42]、
    [45]、[49]、[50]、[52]
    相似站点聚类以减少
    运营时间
    [8]、[19]、[28]、[31]、
    [47]、[54]
    站点设置时间窗以
    提高站点准点率
    [18]、[32]、[41]、[48]、[53]
    额外考虑停车场的影响 [27]、[49]、[50]
    下载: 导出CSV

    表  3  时间阻抗场景的类型和特征

    Table  3.   Types and characteristics of time impedance scenarios

    阻抗类型 阻抗特征 文献
    静态阻抗 阻抗已知
    且固定
    [19]、[25]、[27]、[29]、[31]~[37]、
    [39]~[42]、[44]~[46]、[48]~[50]、
    [52]、[53]、[57]、[58]
    动态阻抗 阻抗动态可变 [26]、[38]
    下载: 导出CSV

    表  4  出行需求场景的类型和特征

    Table  4.   Types and characteristics of travel demand scenarios

    需求类型 需求特征 文献
    静态 需求提前预约
    已知且固定
    [18]、[19]、[25]、[27]、[29]、[31]~
    [34]、[36]、[38]~[42]、[44]、
    [46]~[51]、[53]、[57]、[58]
    需求已知但随机 [37]
    动态 额外考虑实时
    随机的出行需求
    [35]、[45]、[49]、[50]
    下载: 导出CSV

    表  5  求解算法的类型和特征

    Table  5.   Types and characteristics of solving algorithms

    算法类型 核心算法 文献
    精确算法 分支剪切算法 [31]、[41]、[42]
    分支定界算法 [19]、[25]、[35]、[40]
    拉格朗日分解法 [18]
    智能算法 模拟退火算法 [39]、[46]
    遗传算法 [27]~[29]、[32]~[34]、[41]、
    [44]~[46]、[49]~[52]
    禁忌搜索算法 [38]、[41]
    蚁群算法 [47]、[48]
    其他算法 [36]、[37]、[53]
    下载: 导出CSV
  • [1] 胡学文, 何保红, 何民, 等. 美国辅助公交发展政策初探[J]. 现代城市研究, 2015(5): 119-125. https://www.cnki.com.cn/Article/CJFDTOTAL-XDCS201505021.htm

    HU Xue-wen, HE Bao-hong, HE Min, et al. A preliminary study on the America paratransit development policy[J]. Modern Urban Research, 2015(5): 119-125. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XDCS201505021.htm
    [2] 徐康明, 李佳玲, 冯浚, 等. 定制公交服务初探[J]. 城市交通, 2013, 11(5): 24-27. doi: 10.3969/j.issn.1672-5328.2013.05.008

    XU Kang-ming, LI Jia-ling, FENG Jun, et al. Discussion on subscription bus services[J]. Urban Transport of China, 2013, 11(5): 24-27. (in Chinese) doi: 10.3969/j.issn.1672-5328.2013.05.008
    [3] LIU T, CEDER A A. Analysis of a new public-transport-service concept: customized bus in China[J]. Transport Policy, 2015, 39: 63-76. doi: 10.1016/j.tranpol.2015.02.004
    [4] JENK C W, JENCKS C F, SCHWAGER D S, et al. Guidebook for Measuring, Assessing, and Improving Performance of Demand-Response Transportation[M]. Washington DC: National Academies Press, 2008.
    [5] LIU T, CEDER A A, BOLOGNA R, et al. Commuting by customized bus: a comparative analysis with private car and conventional public transport in two cities[J]. Journal of Public Transportation, 2016, 19(2): 55-74. doi: 10.5038/2375-0901.19.2.4
    [6] 王中航, 王如松. 北京城市交通适应性管理——以定制公交为例[J]. 现代城市研究, 2015(3): 2-8. doi: 10.3969/j.issn.1009-6000.2015.03.02

    WANG Zhong-hang, WANG Ru-song. Adaptive management of Beijing urban traffic: a case study of the customized transit bus service[J]. Modern Urban Research, 2015(3): 2-8. (in Chinese) doi: 10.3969/j.issn.1009-6000.2015.03.02
    [7] 卢小林, 张娴, 俞洁, 等. 灵活型定制公交系统综合评价方法研究[J]. 公路交通科技, 2015, 32(5): 135-140. doi: 10.3969/j.issn.1002-0268.2015.05.022

    LU Xiao-lin, ZHANG Xian, YU Jie, et al. Research of a comprehensive evaluation method for customized flexible transit system[J]. Journal of Highway and Transportation Research and Development, 2015, 32(5): 135-140. (in Chinese) doi: 10.3969/j.issn.1002-0268.2015.05.022
    [8] YU Qing, ZHANG Hao-ran, LI Wei-feng, et al. Mobile phone GPS data in urban customized bus: dynamic line design and emission reduction potentials analysis[J]. Journal of Cleaner Production, 2020, 272: 122471. doi: 10.1016/j.jclepro.2020.122471
    [9] 裴明阳, 陈海华, 林培群, 等. 基于站点动态分级和差异定价的灵活公交调度模型[J]. 华南理工大学学报(自然科学版), 2018, 46(11): 150-156. doi: 10.3969/j.issn.1000-565X.2018.11.020

    PEI Ming-yang, CHEN Hai-hua, LIN Pei-qun, et al. Flexible transit scheduling model based on dynamic bus stops rating and differential tickets pricing[J]. Journal of South China University of Technology (Natural Science), 2018, 46(11): 150-156. (in Chinese) doi: 10.3969/j.issn.1000-565X.2018.11.020
    [10] 林青. 定制公交服务的评价指标及模型研究——以北京市为例[J]. 调研世界, 2016(2): 46-49. https://www.cnki.com.cn/Article/CJFDTOTAL-DYSJ201602010.htm

    LIN Qing. Evaluation index and model of customized bus service: a case study of Beijing[J]. The World of Survey and Research, 2016(2): 46-49. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-DYSJ201602010.htm
    [11] 安健, 姚广铮, 孙玲, 等. 北京市定制商务班车乘客支付意愿研究[J]. 城市交通, 2015(2): 63-71. https://www.cnki.com.cn/Article/CJFDTOTAL-CSJT201502012.htm

    AN Jian, YAO Guang-zheng, SUN Ling, et al. A study of willingness-to-pay on subscription bus services in Beijing[J]. Urban Transport of China, 2015(2): 63-71. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CSJT201502012.htm
    [12] 龚华炜, 靳文舟, 郝小妮, 等. 定制公交的博弈定价方法[J]. 华南理工大学学报(自然科学版), 2017, 45(8): 70-76. doi: 10.3969/j.issn.1000-565X.2017.08.011

    GONG Hua-wei, JIN Wen-zhou, HAO Xiao-ni, et al. Investigation into pricing game of customized city bus service[J]. Journal of South China University of Technology (Natural Science), 2017, 45(8): 70-76. (in Chinese) doi: 10.3969/j.issn.1000-565X.2017.08.011
    [13] 黄玮琪, 靳文舟, 黄靖翔, 等. 不同市场策略下的定制公交定价问题[J]. 广西师范大学学报(自然科学版), 2018, 36(2): 8-17. https://www.cnki.com.cn/Article/CJFDTOTAL-GXSF201802002.htm

    HUANG Wei-qi, JIN Wen-zhou, HUANG Jing-xiang, et al. Pricing problem of customized bus under different market strategies[J]. Journal of Guangxi Normal University (Natural Science Edition), 2018, 36(2): 8-17. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GXSF201802002.htm
    [14] 简奕灿, 张瑾, 晋松. 居民定制公交出行意愿影响因素分析[J]. 武汉理工大学学报(交通科学与工程版), 2019, 43(2): 247-252. doi: 10.3963/j.issn.2095-3844.2019.02.014

    JAIN Yi-can, ZHANG Jin, JIN Song. Analysis of influencing factors residents' willingness to custom bus travel[J]. Journal of Wuhan University of Technology (Transportation Science and Engineering), 2019, 43(2): 247-252. (in Chinese) doi: 10.3963/j.issn.2095-3844.2019.02.014
    [15] 靳文舟, 韩博文, 郝小妮, 等. 基于小波神经网络的定制公交目标乘客出行意愿预测[J]. 重庆交通大学学报(自然科学版), 2018, 37(8): 81-87. doi: 10.3969/j.issn.1674-0696.2018.08.14

    JIN Wen-zhou, HAN Bo-wen, HAO Xiao-ni. Prediction of target passengers' travel intention of customized public transport based on wavelet neural network[J]. Journal of Chongqing Jiaotong University (Natural Science), 2018, 37(8): 81-87. (in Chinese) doi: 10.3969/j.issn.1674-0696.2018.08.14
    [16] WANG Jiang-bo, YAMAMOTO T, LIU Kai. Role of customized bus services in the transportation system: insight from actual performance[J]. Journal of Advanced Transportation, 2019, 2019: 1-14.
    [17] ZHANG J, WANG D Z W, MENG M. Analyzing customized bus service on a multimodal travel corridor: an analytical modeling approach[J]. Journal of Transportation Engineering, Part A: Systems, 2017, 143(11): 04017057. doi: 10.1061/JTEPBS.0000087
    [18] TONG Lu, ZHOU Lei-shan, LIU Jiang-tao, et al. Customized bus service design for jointly optimizing passenger-to-vehicle assignment and vehicle routing[J]. Transportation Research Part C: Emerging Technologies, 2017, 85: 451-475. doi: 10.1016/j.trc.2017.09.022
    [19] MA Ji-hui, YANG Yang, GUAN Wei, et al. Large-scale demand driven design of a customized bus network: a methodological framework and Beijing case study[J]. Journal of Advanced Transportation, 2017, 2017: 1-14.
    [20] 李彬, 杨铭, 肖润谋. 基于乘客接受度的定制公交票价分析[J]. 中国科技论文, 2016, 11(7): 786-792. doi: 10.3969/j.issn.2095-2783.2016.07.013

    LI Bin, YANG Ming, XIAO Run-mou. The study on factors affecting customized city bus service fares base on logistic model[J]. China Science Paper, 2016, 11(7): 786-792. (in Chinese) doi: 10.3969/j.issn.2095-2783.2016.07.013
    [21] 付晓, 顾宇, 刘志远. 多模式公交网络中考虑定制公交的活动与出行建模[J]. 交通运输系统工程与信息, 2019, 19(4): 20-27. https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201904004.htm

    FU Xiao, GU Yu, LIU Zhi-yuan. Scheduling activity and travel patterns in multi-modal transit networks with customized bus services[J]. Journal of Transportation Systems Engineering and Information Technology, 2019, 19(4): 20-27. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201904004.htm
    [22] 蒋蕊, 卓健. 定制公交竞争力分析与规划应对[J]. 规划师, 2018, 34(8): 113-119. doi: 10.3969/j.issn.1006-0022.2018.08.018

    JIANG Rui, ZHUO Jian. Competitiveness of customized bus system and its planning strategy[J]. Planners, 2018, 34(8): 113-119. (in Chinese) doi: 10.3969/j.issn.1006-0022.2018.08.018
    [23] 徐扬, 戴丛蔚, 罗晶, 等. 大规模个性化公交定制研究[J]. 管理现代化, 2016, 36(1): 67-69. doi: 10.3969/j.issn.1003-1154.2016.01.022

    XU Yang, DAI Cong-wei, LUO Jing, et al. Research on mass personalized bus customization[J]. Modernization of Management, 2016, 36(1): 67-69. (in Chinese) doi: 10.3969/j.issn.1003-1154.2016.01.022
    [24] 江欣国, 刘海玥, 周悦, 等. 超速行为干预措施研究现状及发展趋势[J]. 中国公路学报, 2020, 33(3): 1-31. doi: 10.3969/j.issn.1001-7372.2020.03.002

    JIANG Xin-guo, LIU Hai-yue, ZHOU Yue, et al. Systematic review on anti-speeding countermeasure research[J]. China Journal of Highway and Transport, 2020, 33(3): 1-31. (in Chinese) doi: 10.3969/j.issn.1001-7372.2020.03.002
    [25] 安久煜, 宋瑞, 毕明凯, 等. 高铁车站接驳公交灵活线路优化设计研究[J]. 交通运输系统工程与信息, 2019, 19(5): 150-155, 176. https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201905021.htm

    AN Jiu-yu, SONG Rui, BI Ming-kai, et al. Optimization flexible route design for high-speed railway station feeder bus[J]. Journal of Transportation Systems Engineering and Information Technology, 2019, 19(5): 150-155, 176. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201905021.htm
    [26] 马昌喜, 王超, 郝威, 等. 突发公共卫生事件下应急定制公交线路优化[J]. 交通运输工程学报, 2020, 20(3): 89-99. doi: 10.19818/j.cnki.1671-1637.2020.03.008

    MA Chang-xi, WANG Chao, HAO Wei. Emergency customized bus route optimization under public health emergencies[J]. Journal of Traffic and Transportation Engineering, 2020, 20(3): 89-99. (in Chinese) doi: 10.19818/j.cnki.1671-1637.2020.03.008
    [27] 王超, 马昌喜. 基于遗传算法的定制公交多停车场多车线路优化[J]. 交通信息与安全, 2019, 37(3): 109-117, 127. doi: 10.3963/j.issn.1674-4861.2019.03.014

    WANG Chao, MA Chang-xi. Optimization of parking lot and multi-vehicle route of customized buses based on genetic algorithm[J]. Journal of Transport Information and Safety, 2019, 37(3): 109-117, 127. (in Chinese) doi: 10.3963/j.issn.1674-4861.2019.03.014
    [28] 王健, 曹阳, 王运豪. 考虑出行时间窗的定制公交线路车辆调度方法[J]. 中国公路学报, 2018, 31(5): 143-150. doi: 10.3969/j.issn.1001-7372.2018.05.017

    WANG Jian, CAO Yang, WANG Yun-hao. Customized bus route vehicle schedule method considering travel time windows[J]. China Journal of Highway and Transport, 2018, 31(5): 143-150. (in Chinese) doi: 10.3969/j.issn.1001-7372.2018.05.017
    [29] ELLEGOOD W A, CAMPBELL J F, NORTH J. Continuous approximation models for mixed load school bus routing[J]. Transportation Research Part B: Methodological, 2015, 77: 182-198. doi: 10.1016/j.trb.2015.03.018
    [30] 韩霜, 傅惠. 即时响应式定制公交调度优化[J]. 公路交通科技, 2020, 37(6): 120-127, 158. https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK202006015.htm

    HAN Shuang, FU Hui. Optimization of real-time responsive customized bus dispatch[J]. Journal of Highway and Transportation Research and Development, 2020, 37(6): 120-127, 158. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK202006015.htm
    [31] LI Zhi-jie, SONG Rui, HE Shi-wei, et al. Methodology of mixed load customized bus lines and adjustment based on time windows[J]. Plos One, 2018, 13(1): e0189763. doi: 10.1371/journal.pone.0189763
    [32] 胡郁葱, 陈栩, 罗嘉陵. 多起终点多车型混载的定制公交线路规划模型[J]. 广西师范大学学报(自然科学版), 2018, 36(4): 1-11. https://www.cnki.com.cn/Article/CJFDTOTAL-GXSF201804002.htm

    HU Yu-cong, CHEN Xu, LUO Jia-ling. Network design model of customized bus in diversified operation of multi-origin-destination and multi-type vehicle mixed load[J]. Journal of Guangxi Normal University (Natural Science Edition), 2018, 36(4): 1-11. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GXSF201804002.htm
    [33] 何民, 李沐轩, 税文兵, 等. 可靠性和舒适性对响应式定制公交线路设计的影响[J]. 公路交通科技, 2019, 36(5): 145-151. https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK201905020.htm

    HE Min, LI Mu-xuan, SHUI Wen-bing, et al. Influence of reliability and comfort on responsive custom bus route design[J]. Journal of Highway and Transportation Research and Development, 2019, 36(5): 145-151. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK201905020.htm
    [34] MA Ji-hui, ZHAO Yan-qing, YANG Yang, et al. A model for the stop planning and timetables of customized buses[J]. Plos One, 2017, 12(1): e168762.
    [35] HUANG Di, GU Yu, WANG Shu-chuan, et al. A two-phase optimization model for the demand-responsive customized bus network design[J]. Transportation Research Part C: Emerging Technologies, 2020, 111: 1-21. doi: 10.1016/j.trc.2019.12.004
    [36] LYU Y, CHOW C, LEE V C S, et al. CB-planner: a bus line planning framework for customized bus systems[J]. Transportation Research Part C: Emerging Technologies, 2019, 101: 233-253. doi: 10.1016/j.trc.2019.02.006
    [37] 魏长钦, 王伟智. 随机需求下定制公交站点及路径动态优化模型[J]. 福州大学学报(自然科学版), 2020, 48(1): 98-104. https://www.cnki.com.cn/Article/CJFDTOTAL-FZDZ202001015.htm

    WEI Chang-qin, WANG Wei-zhi. Dynamic optimization model of customized bus stations and route under random demand[J]. Journal of Fuzhou University (Natural Science Edition), 2020, 48(1): 98-104. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-FZDZ202001015.htm
    [38] 申婵, 崔洪军. 基于可靠性最短路的实时定制公交线路优化研究[J]. 交通运输系统工程与信息, 2019, 19(6): 99-104. https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201906015.htm

    SHEN Chan, CUI Hong-jun. Optimization of real-time customized shuttle bus lines based on reliability shortest path[J]. Journal of Transportation Systems Engineering and Information Technology, 2019, 19(6): 99-104. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201906015.htm
    [39] 彭巍, 周和平, 高攀. 面向城际轨道交通的定制化接驳公交线路优化[J]. 长沙理工大学学报(自然科学版), 2017, 14(4): 49-54. doi: 10.3969/j.issn.1672-9331.2017.04.008

    PENG Wei, ZHOU He-ping, GAO Pan. The route optimization research of customized feeder transit system oriented on intercity railway system[J]. Journal of Changsha University of Science and Technology (Natural Science), 2017, 14(4): 49-54. (in Chinese) doi: 10.3969/j.issn.1672-9331.2017.04.008
    [40] HAN Zhi-ling, CHEN Yan-yan, LI Hui, et al. Customized bus network design based on individual reservation demands[J]. Sustainability, 2019, 11(19): 5535. doi: 10.3390/su11195535
    [41] GUO Rong-ge, GUAN Wei, ZHANG Wen-yi, et al. Customized bus routing problem with time window restrictions: model and case study[J]. Transportmetrica A: Transport Science, 2019, 15(2): 1804-1824. doi: 10.1080/23249935.2019.1644566
    [42] GUO Rong-ge, GUAN Wei, ZHANG Wen-yi. Route design problem of customized buses: mixed integer programming model and case study[J]. Journal of Transportation Engineering, Part A: Systems, 2018, 144: 04018069. doi: 10.1061/JTEPBS.0000185
    [43] SUN Q, CHIEN S, HU D W, et al. Optimizing multi- terminal customized bus service with mixed fleet[J]. IEEE Access, 2020, 8: 156456-156469. doi: 10.1109/ACCESS.2020.3018883
    [44] 王正武, 陈涛, 宋名群. 同时接送模式下响应型接驳公交运行路径与调度的协调优化[J]. 交通运输工程学报, 2019, 19(5): 139-149. doi: 10.3969/j.issn.1671-1637.2019.05.015

    WANG Zheng-wu, CHEN Tao, SONG Ming-qun. Coordinated optimization of operation routes and schedules for responsive feeder transit under simultaneous pick-up and delivery mode[J]. Journal of Traffic and Transportation Engineering, 2019, 19(5): 139-149. (in Chinese) doi: 10.3969/j.issn.1671-1637.2019.05.015
    [45] 王正武, 宋名群. 多换乘点响应型接驳公交运行线路的协调优化[J]. 中国公路学报, 2019, 32(9): 164-174. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201909017.htm

    WANG Zheng-wu, SONG Ming-qun. Coordinated optimization of operation routes for responsive feeder transit systems with multiple transfer points[J]. China Journal of Highway and Transport, 2019, 32(9): 164-174. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201909017.htm
    [46] 王正武, 向健, 喻杰. 响应型接驳公交系统基于关键点的动态路径优化[J]. 长沙理工大学学报(自然科学版), 2020, 17(3): 51-61. doi: 10.3969/j.issn.1672-9331.2020.03.008

    WANG Zheng-wu, XIANG Jian, YU Jie. Dynamic route optimization based on key points for responsive feeder transit system[J]. Journal of Changsha University of Science and Technology (Natural Science), 2020, 17(3): 51-61. (in Chinese) doi: 10.3969/j.issn.1672-9331.2020.03.008
    [47] 雷永巍, 林培群, 姚凯斌. 互联网定制公交的网络调度模型及其求解算法[J]. 交通运输系统工程与信息, 2017, 17(1): 157-163. https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201701024.htm

    LEI Yong-wei, LIN Pei-qun, YAO Kai-bin. The network scheduling model and its solution algorithm of internet customized shuttle bus[J]. Journal of Transportation Systems Engineering and Information Technology, 2017, 17(1): 157-163. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT201701024.htm
    [48] 柳伍生, 周向栋, 贺剑, 等. 基于多需求响应的定制公交绿色线网优化[J]. 公路交通科技, 2018, 35(3): 132-142. https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK201803018.htm

    LIU Wu-sheng, ZHOU Xiang-dong, HE Jian, et al. Optimization of green customized public transport network based on multiple demand response[J]. Journal of Highway and Transportation Research and Development, 2018, 35(3): 132-142. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GLJK201803018.htm
    [49] WANG Chao, MA Chang-xi, XU Xue-cai. Multi-objective optimization of real-time customized bus routes based on two-stage method[J]. Physica A: Statistical Mechanics and its Applications, 2020, 537: 122774. doi: 10.1016/j.physa.2019.122774
    [50] WANG Chao, MA Chang-xi. Multi-objective optimization of customized bus routes based on full operation process[J]. Modern Physics Letters B, 2020, 34(25): 2050266. doi: 10.1142/S0217984920502668
    [51] 陈汐, 王印海, 刘剑锋, 等. 多区域通勤定制公交线路规划模型及求解算法[J]. 交通运输系统工程与信息, 2020, 20(4): 166-172. https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT202004024.htm

    CHEN Xi, WANG Yin-hai, LIU Jian-feng, et al. Multi-region commuting bus route design model and solution method[J]. Journal of Transportation Systems Engineering and Information Technology, 2020, 20(4): 166-172. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSXT202004024.htm
    [52] HUANG Kai, XU Lin, CHEN Yao, et al. Customized bus route optimization with the real-time data[J]. Journal of Advanced Transportation, 2020, 2020: 1-9.
    [53] LI Jing, LYU Yong-bo, MA Ji-hui, et al. Methodology for extracting potential customized bus routes based on bus smart card data[J]. Energies, 2018, 11(9): 2224. doi: 10.3390/en11092224
    [54] YU Qing, LI Wei-feng, ZHANG Hao-ran, et al. Mobile phone data in urban customized bus: a network-based hierarchical location selection method with an application to system layout design in the urban agglomeration[J]. Sustainability, 2020, 12(15): 6203. doi: 10.3390/su12156203
    [55] CHENG Yi-yi, HUANG Ai-ling, QI Ge-qi, et al. Mining customized bus demand spots based on smart card data: a case study of the Beijing public transit system[J]. IEEE Access, 2019, 7: 181626-181647. doi: 10.1109/ACCESS.2019.2959907
    [56] MA Chang-xi, WANG Chao, XU Xue-cai. A multi-objective robust optimization model for customized bus routes[J]. IEEE Transactions on Intelligent Transportation Systems, 2021, 22(4): 2359-2370. doi: 10.1109/TITS.2020.3012144
    [57] 周继彪, 马昌喜, 董升, 等. 新冠肺炎疫情下城市公共交通非常规防疫策略——以宁波市为例[J]. 中国公路学报, 2020, 33(11): 1-10. doi: 10.3969/j.issn.1001-7372.2020.11.002

    ZHOU Ji-biao, MA Chang-xi, DONG Sheng, et al. Unconventional prevention strategies for urban public transport in the COVID-19 epidemic: taking Ningbo City as a case study[J]. China Journal of Highway and Transport, 2020, 33(11): 1-10. (in Chinese) doi: 10.3969/j.issn.1001-7372.2020.11.002
    [58] KALPAKCI A, UNVERDI N K. Integration of paratransit systems with inner-city bus transport: the case of Izmir[J]. Public Transport, 2016, 8: 405-426. doi: 10.1007/s12469-016-0136-9
  • 加载中
图(6) / 表(5)
计量
  • 文章访问数:  187
  • HTML全文浏览量:  11
  • PDF下载量:  82
  • 被引次数: 0
出版历程
  • 收稿日期:  2021-06-10
  • 网络出版日期:  2021-11-13
  • 刊出日期:  2021-10-01

目录

    /

    返回文章
    返回