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Vehicle Scheduling at a Transportation Terminal with Random Delay en Route

Author

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  • Randolph W. Hall

    (University of California, Berkeley, California)

Abstract

This paper develops and evaluates a simple model for scheduling vehicle arrivals at transportation terminals where vehicles are randomly delayed en route. Equations are developed for the optimal “slack” time (the time between the scheduled arrival for a feeder line and the scheduled departure for a transfer line) when vehicles are delayed according to an exponential probability distribution. These equations only depend on the average vehicle delay and the line headway on the transfer line. The paper shows that coordinating arrivals with departures is most important when the headway is large relative to average vehicle delay.

Suggested Citation

  • Randolph W. Hall, 1985. "Vehicle Scheduling at a Transportation Terminal with Random Delay en Route," Transportation Science, INFORMS, vol. 19(3), pages 308-320, August.
    • Handle: RePEc:inm:ortrsc:v:19:y:1985:i:3:p:308-320
    DOI: 10.1287/trsc.19.3.308
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    Citations

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    Cited by:

    1. Hall, Randolph W. & Lo, Shih-Che, 2002. "Truck Scheduling for Ground to Air Connectivity: Final Report," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt85v0x577, Institute of Transportation Studies, UC Berkeley.
    2. Hall, Randolph & Dessouky, Maged & Zhang, Lei & Singh, Ajay & Patel, Vishal, 1999. "Evaluation of ITS Technology for Bus Transit Systems," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt2nq1824t, Institute of Transportation Studies, UC Berkeley.
    3. Carey, Malachy & Kwiecinski, Andrzej, 1995. "Properties of expected costs and performance measures in stochastic models of scheduled transport," European Journal of Operational Research, Elsevier, vol. 83(1), pages 182-199, May.
    4. Hall, Randolph W., 2001. "Truck scheduling for ground to air connectivity," Journal of Air Transport Management, Elsevier, vol. 7(6), pages 331-338.
    5. Hall, Randolph & Dessouky, Maged & Nowroozi, Ali & Singh, A., 1997. "Evaluation Of ITS Technology For Bus Timed Transfers," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1wq2v1p4, Institute of Transportation Studies, UC Berkeley.
    6. Sun, Yanshuo & Schonfeld, Paul, 2016. "Holding decisions for correlated vehicle arrivals at intermodal freight transfer terminals," Transportation Research Part B: Methodological, Elsevier, vol. 90(C), pages 218-240.
    7. Hall, Randolph W., 2001. "Truck Scheduling for Ground to Air Connectivity," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt2vh5j4hz, Institute of Transportation Studies, UC Berkeley.
    8. Huang, Kang & Wu, Jianjun & Sun, Huijun & Yang, Xin & Gao, Ziyou & Feng, Xujie, 2022. "Timetable synchronization optimization in a subway–bus network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    9. Dessouky, Maged & Singh, Ajay & Hall, Randolph, 1997. "Transit ITS Simulator (TRANSITS): Design Document," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt49k184rv, Institute of Transportation Studies, UC Berkeley.
    10. Lu, Xiao-Yun & Gosling, Geoffrey D. & Shladover, Steven E. & Xiong, Jing & Ceder, Avi, 2006. "Development of a Modeling Framework for Analyzing Improvements in Intermodal Connectivity at California Airports," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt586755r9, Institute of Transportation Studies, UC Berkeley.
    11. Rietveld, P. & Bruinsma, F. R. & van Vuuren, D. J., 2001. "Coping with unreliability in public transport chains: A case study for Netherlands," Transportation Research Part A: Policy and Practice, Elsevier, vol. 35(6), pages 539-559, July.
    12. Carey, Malachy, 1998. "Optimizing scheduled times, allowing for behavioural response," Transportation Research Part B: Methodological, Elsevier, vol. 32(5), pages 329-342, June.
    13. Daganzo, Carlos & Anderson, Paul, 2016. "Coordinating Transit Transfers in Real Time," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt25h4r974, Institute of Transportation Studies, UC Berkeley.
    14. Dessouky, Maged & Hall, Randolph & Zhang, Lei & Singh, Ajay, 2003. "Real-time control of buses for schedule coordination at a terminal," Transportation Research Part A: Policy and Practice, Elsevier, vol. 37(2), pages 145-164, February.
    15. Lu, Xiao-Yun & Gosling, Geoffrey D. & Ceder, Avi & Tung, Steven & Tso, Kristin & Shladover, Steven & Xiong, Jing & Yoon, Sangwon, 2009. "A Combined Quantitative and Qualitative Approach to Planning for Improved Intermodal Connectivity at California Airports," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1r7227tt, Institute of Transportation Studies, UC Berkeley.
    16. Rietveld, P. & Bruinsma, F.R. & Vuuren, D.J. van, 1999. "Coping with unreliability in public transport chains," Serie Research Memoranda 0031, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    17. Zhang, Wei & Jenelius, Erik & Ma, Xiaoliang, 2017. "Freight transport platoon coordination and departure time scheduling under travel time uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 98(C), pages 1-23.

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