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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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    1. 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.
    2. 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.
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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. 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.
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    11. 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.
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    13. 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.
    14. 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).
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