IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v55y2021i1p29-51.html
   My bibliography  Save this article

Interval-Based Dynamic Discretization Discovery for Solving the Continuous-Time Service Network Design Problem

Author

Listed:
  • Luke Marshall

    (Microsoft Research, Redmond, Washington 98052;)

  • Natashia Boland

    (Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

  • Martin Savelsbergh

    (Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

  • Mike Hewitt

    (Department of Information Systems and Supply Chain Management, Quinlan School of Business, Loyola University Chicago, Chicago, Illinois 60611)

Abstract

We introduce an effective and efficient iterative algorithm for solving the continuous-time service network design problem. The algorithm achieves its efficiency by carefully and dynamically refining partially time-expanded network models so that only a small number of small integer programs, defined over these networks, need to be solved. An extensive computational study shows that the algorithm performs well in practice, often using time-expanded network models with size much less than 1% (in terms of number of variables and constraints) of a full time-expanded network model. The algorithm is inspired by and has many similarities to the dynamic discretization discovery algorithm introduced in Boland et al. [Boland N, Hewitt M, Marshall L, Savelsbergh M (2017) The continuous-time service network design problem. Oper. Res. 65(5):1303–1321.], but generates smaller partially time-expanded models, produces high-quality solutions more quickly, and converges more quickly.

Suggested Citation

  • Luke Marshall & Natashia Boland & Martin Savelsbergh & Mike Hewitt, 2021. "Interval-Based Dynamic Discretization Discovery for Solving the Continuous-Time Service Network Design Problem," Transportation Science, INFORMS, vol. 55(1), pages 29-51, 1-2.
    • Handle: RePEc:inm:ortrsc:v:55:y:2021:i:1:p:29-51
    DOI: 10.1287/trsc.2020.0994
    as

    Download full text from publisher

    File URL: https://doi.org/10.1287/trsc.2020.0994
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.2020.0994?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Wang, Xiubin & Regan, Amelia C., 2002. "Local truckload pickup and delivery with hard time window constraints," Transportation Research Part B: Methodological, Elsevier, vol. 36(2), pages 97-112, February.
    2. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    3. Natashia Boland & Mike Hewitt & Luke Marshall & Martin Savelsbergh, 2017. "The Continuous-Time Service Network Design Problem," Operations Research, INFORMS, vol. 65(5), pages 1303-1321, October.
    4. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    5. Natashia Boland & Mike Hewitt & Luke Marshall & Martin Savelsbergh, 2019. "The price of discretizing time: a study in service network design," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 195-216, June.
    6. Sanjeeb Dash & Oktay Günlük & Andrea Lodi & Andrea Tramontani, 2012. "A Time Bucket Formulation for the Traveling Salesman Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 24(1), pages 132-147, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Belieres, Simon & Hewitt, Mike, 2024. "Hedging against uncertainty in transportation network design through flexible scheduling," Omega, Elsevier, vol. 126(C).
    2. Vu, Duc Minh & Hewitt, Mike & Vu, Duc D., 2022. "Solving the time dependent minimum tour duration and delivery man problems with dynamic discretization discovery," European Journal of Operational Research, Elsevier, vol. 302(3), pages 831-846.
    3. Lu, Jiawei & Nie, Qinghui & Mahmoudi, Monirehalsadat & Ou, Jishun & Li, Chongnan & Zhou, Xuesong Simon, 2022. "Rich arc routing problem in city logistics: Models and solution algorithms using a fluid queue-based time-dependent travel time representation," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 143-182.
    4. Greening, Lacy M. & Dahan, Mathieu & Erera, Alan L., 2023. "Lead-Time-Constrained Middle-Mile Consolidation Network Design with Fixed Origins and Destinations," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Scherr, Yannick Oskar & Hewitt, Mike & Neumann Saavedra, Bruno Albert & Mattfeld, Dirk Christian, 2020. "Dynamic discretization discovery for the service network design problem with mixed autonomous fleets," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 164-195.
    2. Lara, Cristiana L. & Koenemann, Jochen & Nie, Yisu & de Souza, Cid C., 2023. "Scalable timing-aware network design via lagrangian decomposition," European Journal of Operational Research, Elsevier, vol. 309(1), pages 152-169.
    3. Schwerdfeger, Stefan & Boysen, Nils, 2020. "Optimizing the changing locations of mobile parcel lockers in last-mile distribution," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1077-1094.
    4. Natashia Boland & Mike Hewitt & Luke Marshall & Martin Savelsbergh, 2019. "The price of discretizing time: a study in service network design," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 195-216, June.
    5. Natashia L. Boland & Martin W. P. Savelsbergh, 2019. "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 147-173, July.
    6. Greening, Lacy M. & Dahan, Mathieu & Erera, Alan L., 2023. "Lead-Time-Constrained Middle-Mile Consolidation Network Design with Fixed Origins and Destinations," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    7. Hewitt, Mike & Lehuédé, Fabien, 2023. "New formulations for the Scheduled Service Network Design Problem," Transportation Research Part B: Methodological, Elsevier, vol. 172(C), pages 117-133.
    8. Natashia Boland & Mike Hewitt & Luke Marshall & Martin Savelsbergh, 2017. "The Continuous-Time Service Network Design Problem," Operations Research, INFORMS, vol. 65(5), pages 1303-1321, October.
    9. Belieres, Simon & Hewitt, Mike, 2024. "Hedging against uncertainty in transportation network design through flexible scheduling," Omega, Elsevier, vol. 126(C).
    10. Wang, Zujian & Qi, Mingyao, 2019. "Service network design considering multiple types of services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 1-14.
    11. Bernard Gendron & Luis Gouveia, 2017. "Reformulations by Discretization for Piecewise Linear Integer Multicommodity Network Flow Problems," Transportation Science, INFORMS, vol. 51(2), pages 629-649, May.
    12. Li, Xiangyong & Ding, Yi & Pan, Kai & Jiang, Dapei & Aneja, Y.P., 2020. "Single-path service network design problem with resource constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    13. Li, Xiangyong & Wei, Kai & Aneja, Y.P. & Tian, Peng, 2017. "Design-balanced capacitated multicommodity network design with heterogeneous assets," Omega, Elsevier, vol. 67(C), pages 145-159.
    14. Meng, Qiang & Hei, Xiuling & Wang, Shuaian & Mao, Haijun, 2015. "Carrying capacity procurement of rail and shipping services for automobile delivery with uncertain demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 38-54.
    15. Jansen, Benjamin & Swinkels, Pieter C. J. & Teeuwen, Geert J. A. & van Antwerpen de Fluiter, Babette & Fleuren, Hein A., 2004. "Operational planning of a large-scale multi-modal transportation system," European Journal of Operational Research, Elsevier, vol. 156(1), pages 41-53, July.
    16. Jardar Andersen & Marielle Christiansen & Teodor Gabriel Crainic & Roar Grønhaug, 2011. "Branch and Price for Service Network Design with Asset Management Constraints," Transportation Science, INFORMS, vol. 45(1), pages 33-49, February.
    17. Belieres, Simon & Hewitt, Mike & Jozefowiez, Nicolas & Semet, Frédéric, 2021. "A time-expanded network reduction matheuristic for the logistics service network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    18. Blanco, Víctor & Puerto, Justo & Ramos, Ana B., 2011. "Expanding the Spanish high-speed railway network," Omega, Elsevier, vol. 39(2), pages 138-150, April.
    19. Tong, Lu & Zhou, Xuesong & Miller, Harvey J., 2015. "Transportation network design for maximizing space–time accessibility," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 555-576.
    20. Juliette Medina & Mike Hewitt & Fabien Lehuédé & Olivier Péton, 2019. "Integrating long-haul and local transportation planning: the Service Network Design and Routing Problem," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 119-145, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ortrsc:v:55:y:2021:i:1:p:29-51. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.