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Lessons learned on headway management from academic studies

Dr. Kari Watkins, UC Davis

TRB Annual Meeting 2025

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Translating Research to Practice: Implementing Real-time Control on High-Frequency Transit Routes

Work of Simon Berrebi

Full paper by Berrebi, Crudden and Watkins (2018) in Transportation Research Part A

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Takeaways

  • Earlier work deriving an optimal holding policy
  • Berrebi, S., Watkins, K., Laval, J., 2015. A Real-Time Bus Dispatching Policy to Minimize Passenger Wait on a High Frequency Route. Transportation Research Part B: Methodological

  • Academic researchers often limit real-world implementations
    • Smaller systems
    • Convenient locations
  • Testing only in safe environment
    • Don’t face same scale of problems
  • Need to see more full-scale implementation

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Transit Clock

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Three Case Studies

Atlanta Streetcar

Georgia Tech

San Antonio VIA

Control Point

Control Point

Control Point

Control Point

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Practical Factors of Success

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Vehicle Location Data

  • Vehicles sometimes incorrectly matched to opposite direction
  • DynamicTime functions with loss of signal for up to five minutes
    • Problem on the Georgia Tech Stinger Route

  • VIA had lag of up to 105 seconds in GPS data
    • Delay in displaying hold times (until system recognized vehicle had arrived) caused confusion for the operators
    • Edited to display based on predicted arrival times

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Prediction

  • In simulation, prediction accuracy had almost no effect on either headway stability or holding time when the standard deviation of error <10%.
  • In all three implementations, the error was almost always within that range.
  • More granular data would have been necessary to implement the probabilistic version of Berrebi et al. (2015)
  • Control points were considered recovery time
    • However, drivers typically use as bathroom breaks
    • Problem when told to depart immediately
    • Holding method should add a short buffer to predicted arrival times to avoid the disruption

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Human Element

  • Dispatchers informed operators of recommended holding time via radio
    • At control point arrival
    • At departure
  • Sometimes just missed the green phase of the signal and had to wait for an entire cycle.
    • When using a schedule, operators can decide to depart seconds early rather than minutes late.

  • Operators have a sense of operations unperceivable to holding method and even to dispatcher.

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Route Configuration

  • VIA had some control points without space for vehicles to pass each other
    • Operator stops for a bathroom break, vehicle blocks following buses from departing, generating bus bunching from the onset

  • Signal priority was a hindrance
    • Buses > 5 minutes late typically given priority
    • In trial, didn’t adhere to the schedule
    • Signal timing introduced new element of

randomness that deteriorated quality of predictions.

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The Role of the Driver in Headway Regularity

Work of Yerly Martinez-Estupinan

Understanding what elements influence a bus driver to use headway regularity tools: case study of Santiago public transit system” by Martinez-Estupinan, Delgado, Munoz and Watkins (2022) in Transportmetrica A: Transport Science

Improving the performance of headway control tools by using individual driving speed data” by Martinez-Estupinan, Delgado, Munoz and Watkins (2023) in Transportation Research Part A

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The Driver

  • Fundamental element for effectively implementing headway management strategies is the driver
  • Bus drivers do not behave alike
    • Heterogeneous in how they drive and react
    • Willingness to comply with and implement the instructions they receive
  • Goals
  • Understand and classify bus drivers according to their influence on headway regularity
  • Propose operational strategies that incorporate this information to improve regularity

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Survey of Drivers

  • 338 drivers randomly selected from the bus company in Santiago, Chile

Causes preventing drivers from keeping headways

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Survey of Drivers

  • Older and experienced drivers perceive being faster and maintaining more regular headways.
  • Trust their experience to know how close headway ahead is compared to the scheduled headway.
  • Younger drivers value having more information along the route to tell them what actions to take to reach the scheduled headway.
  • Instructions from devices not always able to be executed
  • Congestion
  • Bus capacity and deterioration
  • Heterogeneous driving characteristics across drivers

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Driving speed to improve headway control

  • Driving speed heterogeneity impacts rider wait time w/ or w/o control strategy
  • Having accurate information about average speed of drivers significantly improves performance of headway control tools
  • Especially in scenarios of high variability
  • Allows stratification of drivers to each line according to their driving speed
  • Main attributes of drivers indicating average speed are age & years of experience

NC = No control, HRT = Holding with real-time

Coefficient of Variation of speed

Excess total waiting time (min)

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THANK YOU!

Dr. Kari Watkins

kewatkins@ucdavis.edu

Associate Professor

Civil & Environmental Engineering

University of California, Davis