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Split-Delivery Capacitated Arc-Routing Problem: Lower Bound and Metaheuristic

Author

Listed:
  • José-Manuel Belenguer

    (Departamento d'Estadística i Investigació Operativa, Universitat de València, 46100 Burjassot (València), Spain)

  • Enrique Benavent

    (Departamento d'Estadística i Investigació Operativa, Universitat de València, 46100 Burjassot (València), Spain)

  • Nacima Labadi

    (ICD-LOSI (FRE CNRS 2848), Université de Technologie de Troyes, 10010 Troyes, France)

  • Christian Prins

    (ICD-LOSI (FRE CNRS 2848), Université de Technologie de Troyes, 10010 Troyes, France)

  • Mohamed Reghioui

    (ENSA de Tétouan, Mhannech II, BP 2121 Tétouan, Morocco)

Abstract

This paper proposes lower and upper bounds for the split-delivery capacitated arc-routing problem (SDCARP), a variant of the capacitated arc-routing problem in which an edge can be serviced by several vehicles. Recent papers on related problems in node routing have shown that this policy can bring significant savings. It is also more realistic in applications such as urban refuse collection, where a vehicle can become full in the middle of a street segment. This work presents the first lower bound for the SDCARP, computed with a cutting plane algorithm and an evolutionary local search reinforced by a multistart procedure and a variable neighborhood descent. Tests on 126 instances show that the new metaheuristic outperforms on average a published memetic algorithm; achieves small deviations to the lower bound; and finds 44 optima, including 10 new ones.

Suggested Citation

  • José-Manuel Belenguer & Enrique Benavent & Nacima Labadi & Christian Prins & Mohamed Reghioui, 2010. "Split-Delivery Capacitated Arc-Routing Problem: Lower Bound and Metaheuristic," Transportation Science, INFORMS, vol. 44(2), pages 206-220, May.
    • Handle: RePEc:inm:ortrsc:v:44:y:2010:i:2:p:206-220
    DOI: 10.1287/trsc.1090.0305
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    References listed on IDEAS

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    4. Claudia Archetti & Martin W. P. Savelsbergh & M. Grazia Speranza, 2006. "Worst-Case Analysis for Split Delivery Vehicle Routing Problems," Transportation Science, INFORMS, vol. 40(2), pages 226-234, May.
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    Cited by:

    1. Juan D. Palacio & Juan Carlos Rivera, 2022. "A multi-start evolutionary local search for the one-commodity pickup and delivery traveling salesman problem," Annals of Operations Research, Springer, vol. 316(2), pages 979-1011, September.
    2. Yu, Mingzhu & Jin, Xin & Zhang, Zizhen & Qin, Hu & Lai, Qidong, 2019. "The split-delivery mixed capacitated arc-routing problem: Applications and a forest-based tabu search approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 141-162.
    3. Hashemi Doulabi, Seyed Hossein & Seifi, Abbas, 2013. "Lower and upper bounds for location-arc routing problems with vehicle capacity constraints," European Journal of Operational Research, Elsevier, vol. 224(1), pages 189-208.

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