Journal of Transportation Research

Journal of Transportation Research

Bus Holding Control Strategy at All the Rolling Horizon Stops under Possible and Impossible Overtaking Conditions

Document Type : Original Article

Authors
1 Assistant Professor, School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran.
2 M.Sc., Grad., School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran.
Abstract
Transportation systems tend to be unstable and this instability affects the reliability indices of transportation systems. To improve reliability, control strategies can be used. One of the control strategies is holding the buses at the stops. In this study, the holding control strategy in all rolling horizon stops is used. For holding control strategy, two scenarios of possible overtaking and impossible overtaking for the buses are studied. For each of these scenarios, an exclusive mathematical model is presented. In these mathematical models, the effect of holding control strategy on passengers’ waiting time on the bus and at the station is analyzed. Afterward, an example is assumed in order to solve the model, and sensitivity analysis is conducted on some of the model’s parameters. According to the results, employing control strategy leads to a 3-4.5 percent decline in passengers’ waiting time, compared to the state in which no control strategy is implemented.
Keywords
Subjects

-Abkowitz, Mark, Amir Eiger, and Israel Engelstein (1986). Optimal Control of Headway Variation on Transit Routes. Journal of Advanced Transportation 20(1): 73–88. https://onlinelibrary.wiley.com/doi/abs/10.1002/atr.5670200106.
-Asgharzadeh, Mohamad Amin (2017). Real-Time Bus Holding Control Strategy to Reduce Passenger Waiting Time.
-Barnett, Arnold (1974). On Controlling Randomness in Transit Operations. Transportation Science 8(2): 102–16. doi.org/10.1287/trsc.8.2.102
Chen, Weiya, Hengpeng Zhang, Chunxiao Chen, and X Wei. (2021). An Integrated Bus Holding and Speed Adjusting Strategy Considering Passenger’s Waiting Time Perceptions. Sustainability 13: 5529.
-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 2090(1):
59–67. doi.org/10.3141/2090-07
-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. doi.org/10.1287/trsc.35.1.1.10143
-Eberlein, Xujun, Nigel H M Wilson, Cynthia Barnhart, and David Bernstein (1998). The Real-Time Deadheading Problem In Transit Operations Control. Transportation Research Part B-methodological 32: 77–100.
-Eberlein, Xujun, Nigel H M Wilson, and David Bernstein (1999). Modeling Real-Time Control Strategies in Public Transit Operations. Lecture Notes in Economics and Mathematical Systems: 325–46.
-Engelstein, I. (1983). Methods For Maintaining Bus Service Regularity.
Fu, Liping, and Xuhui Yang (2002). Design and Implementation of Bus–Holding Control Strategies with Real-Time Information. Transportation Research Record 1791(1): 6–12.doi.org/10.3141/1791-02
 
-Gkiotsalitis, Konstantinos (2019). Bus Holding Control of Running Buses in Time Windows.
-Hickman, Mark D. (2001). An Analytic Stochastic Model for the Transit Vehicle Holding Problem. Transportation Science 35(3): 215–37.doi.org/10.1287/trsc.35.3.215.10150
-Ibarra-Rojas, O J, F Delgado, R Giesen, and J C Muñoz (2015). Planning, Operation, and Control of Bus Transport Systems: A Literature Review. Transportation Research Part B: Methodological 77: 38–75. https://www.sciencedirect.com/science/article/pii/S0191261515000454.
-Koffman, David (1978). A Simulation Study of Alternative Real-Time Bus Headway Control Strategies. Transportation Research Record 663: 41–46.
-Laskaris, Georgios et al. (2021). A Holding Control Strategy for Diverging Bus Lines. Transportation Research Part C: Emerging Technologies 126: 103087. https://www.sciencedirect.com/science/article/pii/S0968090X2100108X.
-Liang, Shidong, Shengxue He, Hu Zhang, and Minghui Ma. (2021). Optimal Holding Time Calculation Algorithm to Improve the Reliability of High Frequency Bus Route Considering the Bus Capacity Constraint. Reliability Engineering & System Safety, 212: 107632.https://www.sciencedirect.com/science/article/pii/S0951832021001733.
-Liang, Shidong, Minghui Ma, and Shengxue He (2019). Multiobjective Optimal Formulations for Bus Fleet Size of Public Transit under Headway-Based Holding Control ed. Dongjoo Park. Journal of Advanced Transportation,  2452348. doi.org/10.1155/2019/2452348
-Moreira-Matias, Luís et al. (2016). An Online Learning Approach to Eliminate Bus Bunching in Real-Time. Applied Soft Computing 47: 460–82.
https://www.sciencedirect.com/science/article/pii/S1568494616303118.
-Newell, Gordon Frank, and Renfrey Burnard Potts (1964). Maintaining a Bus Schedule. In Australian Road Research Board (ARRB) Conference, 2nd, Melbourne,.
-O_Dell, Susan W, and Nigel H M Wilson. (1999). Optimal Real-Time Control Strategies for Rail Transit Operations during Disruptions. Lecture Notes in Economics and Mathematical Systems, 299–323.
-Osuna, E E, and G F Newell (1972). Control Strategies for an Idealized Public Transportation System. Transportation Science 6(1): 52–72.doi.org/10.1287/trsc.6.1.52
-Sánchez-Martínez, G E, Haris Koutsopoulos, and N H M Wilson (2016). Real-Time Holding Control for High-Frequency Transit with Dynamics. Transportation Research Part B: Methodological 83: 1–19.
-Turnquist, Mark A. (1981). Strategies For Improving Reliability Of Bus Transit Service. Transportation Research Record.
-Turnquist, Mark A, and Steven W Blume. (1980). Evaluating Potential Effectiveness of Headway Control Strategies for Transit Systems. Transportation Research Record.
-Wang, Jiawei, and Lijun Sun. 2020. Dynamic Holding Control to Avoid Bus Bunching: A Multi-Agent Deep Reinforcement Learning Framework. Transportation Research Part C: Emerging Technologies 116: 102661. https://www.sciencedirect.com/science/article/pii/S0968090X20305763.
-Zolfaghari, Saeed, Nader Azizi, and Mohamad Y Jaber (2004). A Model for Holding Strategy in Public Transit Systems with Real-Time Information. International Journal of Transport Management 2(2): 99–110. https://www.sciencedirect.com/science/article/pii/S1471405105000030.