With the increasing adoption of electric buses (e-buses), e-bus scheduling problem has become an essential part of transit operation planning. As e-buses have a limited battery capacity, e-bus scheduling problem aims to assign vehicles to timetabled service trips on the bus routes considering their charging demand. Affected by the dynamic operation environment, the travel time and energy consumption of the e-buses often display considerable randomness, resulting in unexpected trip start delays and battery energy shortages. In this paper, we addressed the e-bus scheduling problem under travel time uncertainty by robust optimization approaches. We consider the cardinality constrained uncertainty set to formulate a robust multidepot EVSP model considering trip time uncertainty and partial recharging. The model is developed based on the dynamic programming equations that we formulated for trip chain robustness checking. A branch-and-price (BP) algorithm is devised to generate provably high-quality solutions for large-scale instances. In the BP algorithm, an efficient label setting algorithm is developed to solve the robust resource-constrained shortest path subproblem. Comprehensive numerical experiments are conducted based on the bus routes in Shenzhen to demonstrate the effectiveness of the suggested methodology. The robustness of the schedules was evaluated through Monte Carlo simulation. The results show that the trip start delay and battery energy shortage caused by the travel time uncertainty can be effectively reduced at the expense of an increase in the operational cost. A trade-off should be made between the reduction in infeasibility rate and increase in operational cost to choose a proper uncertainty budget.


    Access

    Download


    Export, share and cite



    Title :

    Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method


    Contributors:
    Mengyan Jiang (author) / Yi Zhang (author)


    Publication date :

    2021




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    Unknown




    Electric bus fleet scheduling under travel time and energy consumption uncertainty

    Avishan, Farzad / Yanıkoğlu, İhsan / Alwesabi, Yaseen | Elsevier | 2023



    Route and Scheduling Choice Under Travel Time Uncertainty

    Lam, T. / Transportation Research Board | British Library Conference Proceedings | 2000


    Route and Scheduling Choice Under Travel Time Uncertainty

    Lam, Terence | Transportation Research Record | 2000


    Robust Airline Scheduling Under Block-Time Uncertainty

    Sohoni, Milind | Online Contents | 2011