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Complexity of routing problems with release dates and deadlines

Author

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  • Reyes, Damián
  • Erera, Alan L.
  • Savelsbergh, Martin W.P.

Abstract

The desire of companies to offer same-day delivery leads to interesting new routing optimization problems. We study the complexity of single depot dispatching problems in which a delivery to a customer must occur within a pre-specified time after the customer places the order. Thus, each order has a release date (when the order can be dispatched from the depot) and a service guarantee that implies a deadline (when the order needs to be delivered). A vehicle delivering an order cannot depart the depot before the order is released, and must arrive at the customer at or before the order’s deadline. We show that single and multiple vehicle variants where customers are located on a half-line can be solved to optimality in polynomial time. This setting, as well as our results, generalize those found in Archetti, Feillet, and Speranza (2015).

Suggested Citation

  • Reyes, Damián & Erera, Alan L. & Savelsbergh, Martin W.P., 2018. "Complexity of routing problems with release dates and deadlines," European Journal of Operational Research, Elsevier, vol. 266(1), pages 29-34.
    • Handle: RePEc:eee:ejores:v:266:y:2018:i:1:p:29-34
    DOI: 10.1016/j.ejor.2017.09.020
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    References listed on IDEAS

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    1. Pillac, Victor & Gendreau, Michel & Guéret, Christelle & Medaglia, Andrés L., 2013. "A review of dynamic vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 225(1), pages 1-11.
    2. Archetti, Claudia & Feillet, Dominique & Speranza, M. Grazia, 2015. "Complexity of routing problems with release dates," European Journal of Operational Research, Elsevier, vol. 247(3), pages 797-803.
    3. Berbeglia, Gerardo & Cordeau, Jean-François & Laporte, Gilbert, 2010. "Dynamic pickup and delivery problems," European Journal of Operational Research, Elsevier, vol. 202(1), pages 8-15, April.
    4. Nabila Azi & Michel Gendreau & Jean-Yves Potvin, 2012. "A dynamic vehicle routing problem with multiple delivery routes," Annals of Operations Research, Springer, vol. 199(1), pages 103-112, October.
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    Cited by:

    1. Zhen, Lu & Ma, Chengle & Wang, Kai & Xiao, Liyang & Zhang, Wei, 2020. "Multi-depot multi-trip vehicle routing problem with time windows and release dates," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 135(C).
    2. Marlin W. Ulmer & Barrett W. Thomas & Ann Melissa Campbell & Nicholas Woyak, 2021. "The Restaurant Meal Delivery Problem: Dynamic Pickup and Delivery with Deadlines and Random Ready Times," Transportation Science, INFORMS, vol. 55(1), pages 75-100, 1-2.
    3. Babagolzadeh, Mahla & Zhang, Yahua & Abbasi, Babak & Shrestha, Anup & Zhang, Anming, 2022. "Promoting Australian regional airports with subsidy schemes: Optimised downstream logistics using vehicle routing problem," Transport Policy, Elsevier, vol. 128(C), pages 38-51.
    4. A. Mor & M. G. Speranza, 2020. "Vehicle routing problems over time: a survey," 4OR, Springer, vol. 18(2), pages 129-149, June.
    5. A. Mor & M. G. Speranza, 2022. "Vehicle routing problems over time: a survey," Annals of Operations Research, Springer, vol. 314(1), pages 255-275, July.
    6. Auad, Ramon & Erera, Alan & Savelsbergh, Martin, 2023. "Courier satisfaction in rapid delivery systems using dynamic operating regions," Omega, Elsevier, vol. 121(C).
    7. Pina-Pardo, Juan C. & Silva, Daniel F. & Smith, Alice E. & Gatica, Ricardo A., 2024. "Fleet resupply by drones for last-mile delivery," European Journal of Operational Research, Elsevier, vol. 316(1), pages 168-182.
    8. Wu, Haotian & Savelsbergh, Martin & Huang, Yixiao, 2022. "Planning the city operations of a parcel express company," Omega, Elsevier, vol. 107(C).
    9. Yang, Weibo & Ke, Liangjun & Wang, David Z.W. & Lam, Jasmine Siu Lee, 2021. "A branch-price-and-cut algorithm for the vehicle routing problem with release and due dates," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    10. Yildiz, Baris & Savelsbergh, Martin, 2020. "Pricing for delivery time flexibility," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 230-256.
    11. Alexander M. Stroh & Alan L. Erera & Alejandro Toriello, 2022. "Tactical Design of Same-Day Delivery Systems," Management Science, INFORMS, vol. 68(5), pages 3444-3463, May.

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