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A Shortest-Path Algorithm for the Departure Time and Speed Optimization Problem

Author

Listed:
  • Anna Franceschetti

    (Distribution Management, HEC Montréal, Montréal, Québec H3T 2A7, Canada)

  • Dorothée Honhon

    (Naveen Jindal School of Management, University of Texas at Dallas, Richardson, Texas 75080)

  • Gilbert Laporte

    (Distribution Management, HEC Montréal, Montréal, Québec H3T 2A7, Canada)

  • Tom Van Woensel

    (School of Industrial Engineering, Eindhoven University of Technology, 5600 MB Eindhoven, Netherlands)

Abstract

We present a shortest-path algorithm for the departure time and speed optimization problem under traffic congestion. The objective of the problem is to determine an optimal schedule for a vehicle visiting a fixed sequence of customer locations to minimize a total cost function encompassing emissions cost and labor cost. We account for the presence of traffic congestion, which limits the vehicle speed during peak hours. We show how to cast this problem as a shortest-path problem by exploiting some structural results of the optimal solution. We illustrate the solution method and discuss some properties of the problem.

Suggested Citation

  • Anna Franceschetti & Dorothée Honhon & Gilbert Laporte & Tom Van Woensel, 2018. "A Shortest-Path Algorithm for the Departure Time and Speed Optimization Problem," Transportation Science, INFORMS, vol. 52(4), pages 756-768, August.
    • Handle: RePEc:inm:ortrsc:v:52:y:2018:i:4:p:756-768
    DOI: 10.1287/trsc.2018.0820
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    References listed on IDEAS

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    1. Franceschetti, Anna & Honhon, Dorothée & Van Woensel, Tom & Bektaş, Tolga & Laporte, Gilbert, 2013. "The time-dependent pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 265-293.
    2. Harilaos N. Psaraftis & Christos A. Kontovas, 2016. "Green Maritime Transportation: Speed and Route Optimization," International Series in Operations Research & Management Science, in: Harilaos N. Psaraftis (ed.), Green Transportation Logistics, edition 127, chapter 0, pages 299-349, Springer.
    3. Kramer, Raphael & Maculan, Nelson & Subramanian, Anand & Vidal, Thibaut, 2015. "A speed and departure time optimization algorithm for the pollution-routing problem," European Journal of Operational Research, Elsevier, vol. 247(3), pages 782-787.
    4. K Fagerholt & G Laporte & I Norstad, 2010. "Reducing fuel emissions by optimizing speed on shipping routes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 523-529, March.
    5. Christos Kontovas & Harilaos N. Psaraftis, 2011. "Reduction of emissions along the maritime intermodal container chain: operational models and policies," Maritime Policy & Management, Taylor & Francis Journals, vol. 38(4), pages 451-469, March.
    6. 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.
    7. Lindstad, Haakon & Asbjørnslett, Bjørn E. & Strømman, Anders H., 2011. "Reductions in greenhouse gas emissions and cost by shipping at lower speeds," Energy Policy, Elsevier, vol. 39(6), pages 3456-3464, June.
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    Cited by:

    1. Daiane Maria Genaro Chiroli & Sérgio Fernando Mayerle & João Neiva Figueiredo, 2022. "Using state-space shortest-path heuristics to solve the long-haul point-to-point vehicle routing and driver scheduling problem subject to hours-of-service regulatory constraints," Journal of Heuristics, Springer, vol. 28(1), pages 23-59, February.
    2. Xing, Zheng & Liu, Haitao & Wang, Tingsong & Chew, Ek Peng & Lee, Loo Hay & Tan, Kok Choon, 2023. "Integrated automated guided vehicle dispatching and equipment scheduling with speed optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
    3. Tom Woensel, 2019. "Comments on: Perspectives on integer programming for time-dependent models," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 180-183, July.
    4. Edward He & Natashia Boland & George Nemhauser & Martin Savelsbergh, 2021. "Time-Dependent Shortest Path Problems with Penalties and Limits on Waiting," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 997-1014, July.

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