Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method
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...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Advanced Transportation |
| Online Access: | http://dx.doi.org/10.1155/2021/1191443 |
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| author | Mengyan Jiang Yi Zhang Yi Zhang |
| author_facet | Mengyan Jiang Yi Zhang Yi Zhang |
| author_sort | Mengyan Jiang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-015c1693946f4983835a23a2a7ddd93e |
| institution | Kabale University |
| issn | 2042-3195 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Advanced Transportation |
| spelling | doaj-art-015c1693946f4983835a23a2a7ddd93e2025-02-03T05:47:00ZengWileyJournal of Advanced Transportation2042-31952021-01-01202110.1155/2021/1191443Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution MethodMengyan Jiang0Yi Zhang1Yi Zhang2Center of Environmental Science and New Energy TechnologyCenter of Environmental Science and New Energy TechnologyCenter of Environmental Science and New Energy TechnologyWith 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.http://dx.doi.org/10.1155/2021/1191443 |
| spellingShingle | Mengyan Jiang Yi Zhang Yi Zhang Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method Journal of Advanced Transportation |
| title | Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method |
| title_full | Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method |
| title_fullStr | Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method |
| title_full_unstemmed | Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method |
| title_short | Optimal Electric Bus Scheduling under Travel Time Uncertainty: A Robust Model and Solution Method |
| title_sort | optimal electric bus scheduling under travel time uncertainty a robust model and solution method |
| url | http://dx.doi.org/10.1155/2021/1191443 |
| work_keys_str_mv | AT mengyanjiang optimalelectricbusschedulingundertraveltimeuncertaintyarobustmodelandsolutionmethod AT yizhang optimalelectricbusschedulingundertraveltimeuncertaintyarobustmodelandsolutionmethod AT yizhang optimalelectricbusschedulingundertraveltimeuncertaintyarobustmodelandsolutionmethod |