Accounting for passenger loss in bus bunching reduction: a robust real-time speed control method

References

• Allen, Jaime, Juan Carlos Muñoz, and Juan de Dios Ortúzar. 2018. “Modelling Service-specific and Global Transit Satisfaction Under Travel and User Heterogeneity.” Transportation Research Part A: Policy and Practice 113:509–528. https://doi.org/10.1016/j.tra.2018.05.009.
   Web of Science ®Google Scholar
• Babaei, Mohsen, Jan-Dirk Schmöcker, and Afshin Shariat-Mohaymany. 2014. “The Impact of Irregular Headways on Seat Availability.” Transportmetrica A: Transport Science 10 (6): 483–501. https://doi.org/10.1080/23249935.2013.795198.
   Web of Science ®Google Scholar
• Bartholdi, John J., and Donald D. Eisenstein. 2012. “A Self-coordinating Bus Route to Resist Bus Bunching.” Transportation Research Part B: Methodological 46 (4): 481–491. https://doi.org/10.1016/j.trb.2011.11.001.
   Web of Science ®Google Scholar
• Bertsimas, Dimitris, and Melvyn Sim. 2004. “The Price of Robustness.” Operations Research 52 (1): 35–53. https://doi.org/10.1287/opre.1030.0065.
   Web of Science ®Google Scholar
• Bian, Bomin, Ning Zhu, and Qiang Meng. 2023. “Real-time Cruising Speed Design Approach for Multiline Bus Systems.” Transportation Research Part B: Methodological170:1–24. https://doi.org/10.1016/j.trb.2023.02.003.
   Web of Science ®Google Scholar
• Bian, Bomin, Ning Zhu, Michael Pinedo, Shoufeng Ma, and Qinxiao Yu. 2020. “An Optimization-based Speed-control Method for High Frequency Buses Serving Curbside Stops.” Transportation Research Part C: Emerging Technologies 121:102860. https://doi.org/10.1016/j.trc.2020.102860.
   Web of Science ®Google Scholar
• Chen, Jingxu, Zhiyuan Liu, Senlai Zhu, and Wei Wang. 2015. “Design of Limited-stop Bus Service with Capacity Constraint and Stochastic Travel Time.” Transportation Research Part E: Logistics and Transportation Review 83:1–15. https://doi.org/10.1016/j.tre.2015.08.007.
   Web of Science ®Google Scholar
• Daganzo, Carlos F. 2009. “A Headway-based Approach to Eliminate Bus Bunching: Systematic Analysis and Comparisons.” Transportation Research Part B: Methodological 43 (10): 913–921. https://doi.org/10.1016/j.trb.2009.04.002.
   Web of Science ®Google Scholar
• Daganzo, Carlos F., and Josh Pilachowski. 2011. “Reducing Bunching with Bus-to-bus Cooperation.” Transportation Research Part B: Methodological 45 (1): 267–277. https://doi.org/10.1016/j.trb.2010.06.005.
   Web of Science ®Google Scholar
• Delgado, Felipe, Juan Carlos Muñoz, and Ricardo Giesen. 2012. “How Much Can Holding and/or Limiting Boarding Improve Transit Performance?.” Transportation Research Part B: Methodological46 (9): 1202–1217. https://doi.org/10.1016/j.trb.2012.04.005.
   Web of Science ®Google Scholar
• Delgado, Felipe, Juan Carlos Muñoz, Ricardo Giesen, and Aldo Cipriano. 2009. “Real-Time Control of Buses in a Transit Corridor Based on Vehicle Holding and Boarding Limits.” Transportation Research Record: Journal of the Transportation Research Board 2090 (1): 59–67. https://doi.org/10.3141/2090-07.
   Google Scholar
• Deveci, Muhammet, Sultan Ceren Öner, Fatih Canıtez, and Mahir Öner. 2019. “Evaluation of Service Quality in Public Bus Transportation Using Interval-valued Intuitionistic Fuzzy QFD Methodology.” Research in Transportation Business & Management 33:100387. https://doi.org/10.1016/j.rtbm.2019.100387.
   Web of Science ®Google Scholar
• Eberlein, Xu Jun, Nigel H. M. Wilson, and David Bernstein. 2001. “The Holding Problem with Real–Time Information Available.” Transportation Science 35 (1): 1–18. https://doi.org/10.1287/trsc.35.1.1.10143.
   Web of Science ®Google Scholar
• Gavriilidou, Alexandra, and Oded Cats. 2019. “Reconciling Transfer Synchronization and Service Regularity: Real-time Control Strategies Using Passenger Data.” Transportmetrica A: Transport Science15 (2): 215–243. https://doi.org/10.1080/23249935.2018.1458757.
   Web of Science ®Google Scholar
• Gkiotsalitis, K., and O. Cats. 2018. “Reliable Frequency Determination: Incorporating Information on Service Uncertainty when Setting Dispatching Headways.” Transportation Research Part C: Emerging Technologies 88:187–207. https://doi.org/10.1016/j.trc.2018.01.026.
   Web of Science ®Google Scholar
• He, Shengxue, June Dong, Shidong Liang, and Pengcheng Yuan. 2019. “An Approach to Improve the Operational Stability of a Bus Line by Adjusting Bus Speeds on the Dedicated Bus Lanes.” Transportation Research Part C: Emerging Technologies 107:54–69. https://doi.org/10.1016/j.trc.2019.08.001.
   Web of Science ®Google Scholar
• He, Shengxue, Shidong Liang, June Dong, Ding Zhang, Jianjia He, and Pengcheng Yuan. 2020. “A Holding Strategy to Resist Bus Bunching with Dynamic Target Headway.” Computers & Industrial Engineering 140:106237. https://doi.org/10.1016/j.cie.2019.106237.
   Web of Science ®Google Scholar
• Hernández, Daniel, Juan Carlos Muñoz, Ricardo Giesen, and Felipe Delgado. 2015. “Analysis of Real-time Control Strategies in a Corridor with Multiple Bus Services.” Transportation Research Part B: Methodological 78:83–105. https://doi.org/10.1016/j.trb.2015.04.011.
   Web of Science ®Google Scholar
• Hickman, Mark D.. 2001. “An Analytic Stochastic Model for the Transit Vehicle Holding Problem.” Transportation Science 35 (3): 215–237. https://doi.org/10.1287/trsc.35.3.215.10150.
   Web of Science ®Google Scholar
• Huang, Di, Jiping Xing, Zhiyuan Liu, and Qinhe An. 2020. “A Multi-stage Stochastic Optimization Approach to the Stop-skipping and Bus Lane Reservation Schemes.” Transportmetrica A: Transport Science 17 (4): 1272–1304. https://doi.org/10.1080/23249935.2020.1858206.
   Web of Science ®Google Scholar
• Liang, Shidong, Minghui Ma, Shengxue He, Hu Zhang, and Pengcheng Yuan. 2019. “Coordinated Control Method to Self-equalize Bus Headways: An Analytical Method.” Transportmetrica B: Transport Dynamics 7 (1): 1175–1202. https://doi.org/10.1080/21680566.2019.1589597.
   Web of Science ®Google Scholar
• Liu, Zhiyuan, Yadan Yan, Xiaobo Qu, and Yong Zhang. 2013. “Bus Stop-skipping Scheme with Random Travel Time.” Transportation Research Part C: Emerging Technologies 35:46–56. https://doi.org/10.1016/j.trc.2013.06.004.
   Web of Science ®Google Scholar
• Ma, Qianqian, Shukai Li, Huiming Zhang, Yin Yuan, and Lixing Yang. 2021. “Robust Optimal Predictive Control for Real-time Bus Regulation Strategy with Passenger Demand Uncertainties in Urban Rapid Transit.” Transportation Research Part C: Emerging Technologies 127:103086. https://doi.org/10.1016/j.trc.2021.103086.
   Web of Science ®Google Scholar
• Mulvey, John M., Robert J. Vanderbei, and Stavros A. Zenios. 1995. “Robust Optimization of Large-scale Systems.” Operations Research 43 (2): 264–281. https://doi.org/10.1287/opre.43.2.264.
   Web of Science ®Google Scholar
• Muñoz, Juan Carlos, Jaime Soza-Parra, and Sebastián Raveau. 2020. “A Comprehensive Perspective of Unreliable Public Transport Services' Costs.” Transportmetrica A: Transport Science 16 (3): 734–748. https://doi.org/10.1080/23249935.2020.1720861.
   Web of Science ®Google Scholar
• Newell, Gordon F.. 1974. “Control of Pairing of Vehicles on a Public Transportation Route, Two Vehicles, One Control Point.” Transportation Science 8 (3): 248–264. https://doi.org/10.1287/trsc.8.3.248.
   Google Scholar
• Pan, Long, E. O. D. Waygood, and Zachary Patterson. 2022. “Would You Wait? Bus Choice Behavior Analysis Considering Various Incentives.” Transportation Research Record: Journal of the Transportation Research Board 2676 (7): 117–127. https://doi.org/10.1177/03611981221076843.
   Web of Science ®Google Scholar
• Petit, Antoine, Chao Lei, and Yanfeng Ouyang. 2019. “Multiline Bus Bunching Control Via Vehicle Substitution.” Transportation Research Part B: Methodological 126:68–86. https://doi.org/10.1016/j.trb.2019.05.009.
   Web of Science ®Google Scholar
• Petit, Antoine, Yanfeng Ouyang, and Chao Lei. 2018. “Dynamic Bus Substitution Strategy for Bunching Intervention.” Transportation Research Part B: Methodological 115:1–16. https://doi.org/10.1016/j.trb.2018.06.001.
   Web of Science ®Google Scholar
• Rahman, Md Matiur, S. C. Wirasinghe, and Lina Kattan. 2018. “Analysis of Bus Travel Time Distributions for Varying Horizons and Real-time Applications.” Transportation Research Part C: Emerging Technologies 86:453–466. https://doi.org/10.1016/j.trc.2017.11.023.
   Web of Science ®Google Scholar
• Ross, Sheldon M. 1996. Stochastic Processes. 2nd ed., 433–437. New York, NY: John Wiley & Sons.
   Google Scholar
• Soyster, Allen L.. 1973. “Convex Programming with Set-inclusive Constraints and Applications to Inexact Linear Programming.” Operations Research 21 (5): 1154–1157. https://doi.org/10.1287/opre.21.5.1154.
   Web of Science ®Google Scholar
• Varga, Balázs, Tamás Tettamanti, and Balázs Kulcsár. 2018. “Optimally Combined Headway and Timetable Reliable Public Transport System.” Transportation Research Part C: Emerging Technologies 92:1–26. https://doi.org/10.1016/j.trc.2018.04.016.
   Web of Science ®Google Scholar
• Wang, Tao, Keyu Xu, Junfang Tian, Jing Zhang, Ziyou Gao, and Shubin Li. 2021. “Boarding Time Estimation Using the Passenger Density Distribution on the Bus.” IEEE Transactions on Intelligent Transportation Systems 23 (8): 13429–13442. https://doi.org/10.1109/TITS.2021.3124296.
   Web of Science ®Google Scholar
• Wu, Weitiao, Ronghui Liu, and Wenzhou Jin. 2017. “Modelling Bus Bunching and Holding Control with Vehicle Overtaking and Distributed Passenger Boarding Behaviour.” Transportation Research Part B: Methodological 104:175–197. https://doi.org/10.1016/j.trb.2017.06.019.
   Web of Science ®Google Scholar
• Xuan, Yiguang, Juan Argote, and Carlos F. Daganzo. 2011. “Dynamic Bus Holding Strategies for Schedule Reliability: Optimal Linear Control and Performance Analysis.” Transportation Research Part B: Methodological 45 (10): 1831–1845. https://doi.org/10.1016/j.trb.2011.07.009.
   Web of Science ®Google Scholar
• Yan, Yadan, Qiang Meng, Shuaian Wang, and Xiucheng Guo. 2012. “Robust Optimization Model of Schedule Design for a Fixed Bus Route.” Transportation Research Part C: Emerging Technologies25:113–121. https://doi.org/10.1016/j.trc.2012.05.006.
   Web of Science ®Google Scholar
• Zeng, Qinghua, and Gang Zong. 2021. “Research on the Optimal Design of Urban Multi-level Bus Routes: the Case Study From the Sub-certer of Beijing City.” Chinese Journal of Management Science 20 (10): 1–15.
   Google Scholar
• Zhang, Lele, Jiangyan Huang, Zhiyuan Liu, and Hai L. Vu. 2021. “An Agent-based Model for Real-time Bus Stop-skipping and Holding Schemes.” Transportmetrica A: Transport Science 17 (4): 615–647. https://doi.org/10.1080/23249935.2020.1802363.
   Web of Science ®Google Scholar
• Zhang, Shuyang, and Hong K. Lo. 2018. “Two-way-looking Self-equalizing Headway Control for Bus Operations.” Transportation Research Part B: Methodological 110:280–301. https://doi.org/10.1016/j.trb.2018.02.012.
   Web of Science ®Google Scholar
• Zhang, Cen, and Jing Teng. 2013. “Bus Dwell Time Estimation and Prediction: a Study Case in Shanghai, China.” Procedia-Social Behavioral Sciences 96:1329–1340. https://doi.org/10.1016/j.sbspro.2013.08.151.
   Google Scholar
• Zhao, Jiamin, Maged Dessouky, and Satish Bukkapatnam. 2006. “Optimal Slack Time for Schedule-Based Transit Operations.” Transportation Science 40 (4): 529–539. https://doi.org/10.1287/trsc.1060.0170.
   Web of Science ®Google Scholar