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New and tractable formulations for the eco-driving and the eco-routing-and-driving problems

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  • Wu, Fuliang
  • Ye, Hongbo
  • Bektaş, Tolga
  • Dong, Ming

Abstract

Eco-driving and eco-routing problems are both concerned with minimizing the fuel consumption of a single vehicle; the former does so by optimizing the vehicle’s speed profile on a given road segment, and the latter selects the best path for a vehicle from a given origin to a given destination. This paper studies a problem that combines the two, namely an eco-routing-and-driving problem, in which the path and the speed profile on each link of the chosen path are optimized simultaneously. Using the comprehensive modal emissions model as the fuel consumption model, this paper describes new and tractable formulations for both the eco-driving and the eco-routing-and-driving problems through discretization, convexification and approximation, leading to a linear program for the former and a mixed-integer linear program for the latter. Computational results indicate that the new formulation of the eco-driving problem yields significant reductions in the solution time as compared to alternative formulations and algorithms, and that the new formulation of the eco-routing-and-driving problem affords further reductions in fuel consumption when compared with other methods.

Suggested Citation

  • Wu, Fuliang & Ye, Hongbo & Bektaş, Tolga & Dong, Ming, 2025. "New and tractable formulations for the eco-driving and the eco-routing-and-driving problems," European Journal of Operational Research, Elsevier, vol. 321(2), pages 445-461.
  • Handle: RePEc:eee:ejores:v:321:y:2025:i:2:p:445-461
    DOI: 10.1016/j.ejor.2024.10.005
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    References listed on IDEAS

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    1. Ehmke, Jan Fabian & Campbell, Ann Melissa & Thomas, Barrett W., 2016. "Vehicle routing to minimize time-dependent emissions in urban areas," European Journal of Operational Research, Elsevier, vol. 251(2), pages 478-494.
    2. Zhou, Fang & Li, Xiaopeng & Ma, Jiaqi, 2017. "Parsimonious shooting heuristic for trajectory design of connected automated traffic part I: Theoretical analysis with generalized time geography," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 394-420.
    3. Monastyrsky, V. V. & Golownykh, I. M., 1993. "Rapid computation of optimal control for vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 27(3), pages 219-227, June.
    4. Keely L. Croxton & Bernard Gendron & Thomas L. Magnanti, 2003. "A Comparison of Mixed-Integer Programming Models for Nonconvex Piecewise Linear Cost Minimization Problems," Management Science, INFORMS, vol. 49(9), pages 1268-1273, September.
    5. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    6. Bektaş, Tolga & Ehmke, Jan Fabian & Psaraftis, Harilaos N. & Puchinger, Jakob, 2019. "The role of operational research in green freight transportation," European Journal of Operational Research, Elsevier, vol. 274(3), pages 807-823.
    7. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    8. Barth, Matthew & Younglove, Theodore & Scora, George, 2005. "Development of a Heavy-Duty Diesel Modal Emissions and Fuel Consumption Model," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt67f0v3zf, Institute of Transportation Studies, UC Berkeley.
    9. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2014. "The bi-objective Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 232(3), pages 464-478.
    10. Letchford, Adam N. & Nasiri, Saeideh D. & Theis, Dirk Oliver, 2013. "Compact formulations of the Steiner Traveling Salesman Problem and related problems," European Journal of Operational Research, Elsevier, vol. 228(1), pages 83-92.
    11. Wang, Shuaian & Meng, Qiang, 2012. "Sailing speed optimization for container ships in a liner shipping network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 701-714.
    12. Ma, Jiaqi & Li, Xiaopeng & Zhou, Fang & Hu, Jia & Park, B. Brian, 2017. "Parsimonious shooting heuristic for trajectory design of connected automated traffic part II: Computational issues and optimization," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 421-441.
    13. Daganzo, Carlos F., 1994. "The cell transmission model: A dynamic representation of highway traffic consistent with the hydrodynamic theory," Transportation Research Part B: Methodological, Elsevier, vol. 28(4), pages 269-287, August.
    14. Watling, David P. & Connors, Richard D. & Chen, Haibo, 2023. "Fuel-optimal truck path and speed profile in dynamic conditions: An exact algorithm," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1456-1472.
    15. J. N. Hooker & A. B. Rose & G. F. Roberts, 1983. "Optimal Control of Automobiles for Fuel Economy," Transportation Science, INFORMS, vol. 17(2), pages 146-167, May.
    16. Wu, Fuliang & Bektaş, Tolga & Dong, Ming & Ye, Hongbo & Zhang, Dali, 2021. "Optimal driving for vehicle fuel economy under traffic speed uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 154(C), pages 175-206.
    17. Wei, Yuguang & Avcı, Cafer & Liu, Jiangtao & Belezamo, Baloka & Aydın, Nizamettin & Li, Pengfei(Taylor) & Zhou, Xuesong, 2017. "Dynamic programming-based multi-vehicle longitudinal trajectory optimization with simplified car following models," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 102-129.
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