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Large neighborhood search for multi-trip vehicle routing

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  • François, Véronique
  • Arda, Yasemin
  • Crama, Yves
  • Laporte, Gilbert

Abstract

We consider the multi-trip vehicle routing problem, in which each vehicle can perform several routes during the same working shift to serve a set of customers. The problem arises when customers are close to each other or when their demands are large. A common approach consists of solving this problem by combining vehicle routing heuristics with bin packing routines in order to assign routes to vehicles. We compare this approach with a heuristic that makes use of specific operators designed to tackle the routing and the assignment aspects of the problem simultaneously. Two large neighborhood search heuristics are proposed to perform the comparison. We provide insights into the configuration of the proposed algorithms by analyzing the behavior of several of their components. In particular, we question the impact of the roulette wheel mechanism. We also observe that guiding the search with an objective function designed for the multi-trip case is crucial even when exploring the solution space of the vehicle routing problem. We provide several best known solutions for benchmark instances.

Suggested Citation

  • François, Véronique & Arda, Yasemin & Crama, Yves & Laporte, Gilbert, 2016. "Large neighborhood search for multi-trip vehicle routing," European Journal of Operational Research, Elsevier, vol. 255(2), pages 422-441.
    • Handle: RePEc:eee:ejores:v:255:y:2016:i:2:p:422-441
    DOI: 10.1016/j.ejor.2016.04.065
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    References listed on IDEAS

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    Cited by:

    1. Christian Pfeiffer & Arne Schulz, 2022. "An ALNS algorithm for the static dial-a-ride problem with ride and waiting time minimization," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 87-119, March.
    2. A. Mor & M. G. Speranza, 2020. "Vehicle routing problems over time: a survey," 4OR, Springer, vol. 18(2), pages 129-149, June.
    3. Salim Haddadi, 2019. "Variable-fixing then subgradient optimization guided very large scale neighborhood search for the generalized assignment problem," 4OR, Springer, vol. 17(3), pages 261-295, September.
    4. 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.
    5. Turkeš, Renata & Sörensen, Kenneth & Hvattum, Lars Magnus, 2021. "Meta-analysis of metaheuristics: Quantifying the effect of adaptiveness in adaptive large neighborhood search," European Journal of Operational Research, Elsevier, vol. 292(2), pages 423-442.
    6. Christian Brandstätter, 2021. "A metaheuristic algorithm and structured analysis for the Line-haul Feeder Vehicle Routing Problem with Time Windows," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(1), pages 247-289, March.
    7. Véronique François & Yasemin Arda & Yves Crama, 2019. "Adaptive Large Neighborhood Search for Multitrip Vehicle Routing with Time Windows," Transportation Science, INFORMS, vol. 53(6), pages 1706-1730, November.
    8. TURKEŠ, Renata & SÖRENSEN, Kenneth & HVATTUM, Lars Magnus & BARRENA, Eva & CHENTLI, Hayet & COELHO, Leandro & DAYARIAN, Iman & GRIMAULT, Axel & GULLHAVE, Anders & IRIS, Çagatay & KESKIN, Merve & KIEFE, 2019. "Meta-analysis of metaheuristics: Quantifying the effect of adaptiveness in adaptive large neighborhood search," Working Papers 2019002, University of Antwerp, Faculty of Business and Economics.
    9. Ampol Karoonsoontawong & Puntipa Punyim & Wanvara Nueangnitnaraporn & Vatanavongs Ratanavaraha, 2020. "Multi-Trip Time-Dependent Vehicle Routing Problem with Soft Time Windows and Overtime Constraints," Networks and Spatial Economics, Springer, vol. 20(2), pages 549-598, June.
    10. Pan, Binbin & Zhang, Zhenzhen & Lim, Andrew, 2021. "Multi-trip time-dependent vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 291(1), pages 218-231.
    11. Ozgur Kabadurmus & Mehmet S. Erdogan, 2023. "A green vehicle routing problem with multi-depot, multi-tour, heterogeneous fleet and split deliveries: a mathematical model and heuristic approach," Journal of Combinatorial Optimization, Springer, vol. 45(3), pages 1-29, April.
    12. Grigorios D. Konstantakopoulos & Sotiris P. Gayialis & Evripidis P. Kechagias, 2022. "Vehicle routing problem and related algorithms for logistics distribution: a literature review and classification," Operational Research, Springer, vol. 22(3), pages 2033-2062, July.

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