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Complexity of routing problems with release dates

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  • Archetti, Claudia
  • Feillet, Dominique
  • Speranza, M. Grazia

Abstract

In this paper we consider a routing problem where uncapacitated vehicles are loaded with goods, requested by the customers, that arrive at the depot over time. The arrival time of a product at the depot is called its release date. We consider two variants of the problem. In the first one a deadline to complete the distribution is given and the total distance traveled is minimized. In the second variant no deadline is given and the total time needed to complete the distribution is minimized. While both variants are in general NP-hard, we show that they can be solved in polynomial time if the underlying graph has a special structure.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:247:y:2015:i:3:p:797-803
    DOI: 10.1016/j.ejor.2015.06.057
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    References listed on IDEAS

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    1. Henke, Tino & Speranza, M. Grazia & Wäscher, Gerhard, 2015. "The multi-compartment vehicle routing problem with flexible compartment sizes," European Journal of Operational Research, Elsevier, vol. 246(3), pages 730-743.
    2. Teodor Gabriel Crainic & Nicoletta Ricciardi & Giovanni Storchi, 2009. "Models for Evaluating and Planning City Logistics Systems," Transportation Science, INFORMS, vol. 43(4), pages 432-454, November.
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    1. 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.
    2. 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).
    3. 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.
    4. 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.
    5. Baris Yildiz & Martin Savelsbergh, 2019. "Provably High-Quality Solutions for the Meal Delivery Routing Problem," Transportation Science, INFORMS, vol. 53(5), pages 1372-1388, September.
    6. Klapp, Mathias A. & Erera, Alan L. & Toriello, Alejandro, 2018. "The Dynamic Dispatch Waves Problem for same-day delivery," European Journal of Operational Research, Elsevier, vol. 271(2), pages 519-534.
    7. Wu, Haotian & Savelsbergh, Martin & Huang, Yixiao, 2022. "Planning the city operations of a parcel express company," Omega, Elsevier, vol. 107(C).
    8. Benjamin C. Shelbourne & Maria Battarra & Chris N. Potts, 2017. "The Vehicle Routing Problem with Release and Due Dates," INFORMS Journal on Computing, INFORMS, vol. 29(4), pages 705-723, November.
    9. 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.
    10. Mathias A. Klapp & Alan L. Erera & Alejandro Toriello, 2018. "The One-Dimensional Dynamic Dispatch Waves Problem," Transportation Science, INFORMS, vol. 52(2), pages 402-415, March.
    11. 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).
    12. Yildiz, Baris & Savelsbergh, Martin, 2020. "Pricing for delivery time flexibility," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 230-256.
    13. Auad, Ramon & Erera, Alan & Savelsbergh, Martin, 2023. "Courier satisfaction in rapid delivery systems using dynamic operating regions," Omega, Elsevier, vol. 121(C).
    14. Campelo, Pedro & Neves-Moreira, Fábio & Amorim, Pedro & Almada-Lobo, Bernardo, 2019. "Consistent vehicle routing problem with service level agreements: A case study in the pharmaceutical distribution sector," European Journal of Operational Research, Elsevier, vol. 273(1), pages 131-145.
    15. Manuel Ostermeier & Andreas Holzapfel & Heinrich Kuhn & Daniel Schubert, 2022. "Integrated zone picking and vehicle routing operations with restricted intermediate storage," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(3), pages 795-832, September.
    16. Kuhn, Heinrich & Schubert, Daniel & Holzapfel, Andreas, 2021. "Integrated order batching and vehicle routing operations in grocery retail – A General Adaptive Large Neighborhood Search algorithm," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1003-1021.
    17. Klapp, Mathias A. & Erera, Alan L. & Toriello, Alejandro, 2020. "Request acceptance in same-day delivery," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).

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