IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v40y2006i2p235-247.html
   My bibliography  Save this article

A Branch-and-Price Approach to the Vehicle Routing Problem with Simultaneous Distribution and Collection

Author

Listed:
  • Mauro Dell’Amico

    (Dipartimento di Scienze e Metodi per l’Ingegneria, Università di Modena e Reggio Emilia, Viale Allegri, 13 42100 Reggio Emilia, Italy)

  • Giovanni Righini

    (Dipartimento di Tecnologie dell’Informazione, Università degli Studi di Milano, via Bramante 65, 26013 Crema, Italy)

  • Matteo Salani

    (Dipartimento di Tecnologie dell’Informazione, Università degli Studi di Milano, via Bramante 65, 26013 Crema, Italy)

Abstract

The vehicle routing problem with simultaneous distribution and collection (VRPSDC) is the variation of the capacitated vehicle routing problem that arises when the distribution of goods from a depot to a set of customers and the collection of waste from the customers to the depot must be performed by the same vehicles of limited capacity and the customers can be visited in any order. We study how the branch-and-price technique can be applied to the solution of this problem and in particular we compare two different ways of solving the pricing subproblem: exact dynamic programming and state space relaxation. By applying a bidirectional search we experimentally prove its effectiveness in solving the subproblem. We also devise suitable branching strategies for both the exact and the relaxed approach and we report on an extensive set of computational experiments on benchmark instances with both simple and composite demands.

Suggested Citation

  • Mauro Dell’Amico & Giovanni Righini & Matteo Salani, 2006. "A Branch-and-Price Approach to the Vehicle Routing Problem with Simultaneous Distribution and Collection," Transportation Science, INFORMS, vol. 40(2), pages 235-247, May.
    • Handle: RePEc:inm:ortrsc:v:40:y:2006:i:2:p:235-247
    DOI: 10.1287/trsc.1050.0118
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.1050.0118
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.1050.0118?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Toth, Paolo & Vigo, Daniele, 1999. "A heuristic algorithm for the symmetric and asymmetric vehicle routing problems with backhauls," European Journal of Operational Research, Elsevier, vol. 113(3), pages 528-543, March.
    2. Goetschalckx, Marc & Jacobs-Blecha, Charlotte, 1989. "The vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 42(1), pages 39-51, September.
    3. Wade, A. C. & Salhi, S., 2002. "An investigation into a new class of vehicle routing problem with backhauls," Omega, Elsevier, vol. 30(6), pages 479-487, December.
    4. A. A. Farley, 1990. "A Note on Bounding a Class of Linear Programming Problems, Including Cutting Stock Problems," Operations Research, INFORMS, vol. 38(5), pages 922-923, October.
    5. Martin Desrochers & Jacques Desrosiers & Marius Solomon, 1992. "A New Optimization Algorithm for the Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 40(2), pages 342-354, April.
    6. Aristide Mingozzi & Simone Giorgi & Roberto Baldacci, 1999. "An Exact Method for the Vehicle Routing Problem with Backhauls," Transportation Science, INFORMS, vol. 33(3), pages 315-329, August.
    7. Vanderbeck, F. & Wolsey, L. A., 1996. "An exact algorithm for IP column generation," LIDAM Reprints CORE 1242, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Egon Balas & Eitan Zemel, 1980. "An Algorithm for Large Zero-One Knapsack Problems," Operations Research, INFORMS, vol. 28(5), pages 1130-1154, October.
    9. Paolo Toth & Daniele Vigo, 1997. "An Exact Algorithm for the Vehicle Routing Problem with Backhauls," Transportation Science, INFORMS, vol. 31(4), pages 372-385, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Maria João Santos & Pedro Amorim & Alexandra Marques & Ana Carvalho & Ana Póvoa, 2020. "The vehicle routing problem with backhauls towards a sustainability perspective: a review," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 28(2), pages 358-401, July.
    2. S Mitra, 2008. "A parallel clustering technique for the vehicle routing problem with split deliveries and pickups," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(11), pages 1532-1546, November.
    3. Ropke, Stefan & Pisinger, David, 2006. "A unified heuristic for a large class of Vehicle Routing Problems with Backhauls," European Journal of Operational Research, Elsevier, vol. 171(3), pages 750-775, June.
    4. Gajpal, Yuvraj & Abad, P.L., 2009. "Multi-ant colony system (MACS) for a vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 196(1), pages 102-117, July.
    5. Yang, Senyan & Ning, Lianju & Shang, Pan & (Carol) Tong, Lu, 2020. "Augmented Lagrangian relaxation approach for logistics vehicle routing problem with mixed backhauls and time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 135(C).
    6. J-F Chen & T-H Wu, 2006. "Vehicle routing problem with simultaneous deliveries and pickups," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(5), pages 579-587, May.
    7. Dominguez, Oscar & Guimarans, Daniel & Juan, Angel A. & de la Nuez, Ignacio, 2016. "A Biased-Randomised Large Neighbourhood Search for the two-dimensional Vehicle Routing Problem with Backhauls," European Journal of Operational Research, Elsevier, vol. 255(2), pages 442-462.
    8. Ganesh, K. & Narendran, T.T., 2007. "CLOVES: A cluster-and-search heuristic to solve the vehicle routing problem with delivery and pick-up," European Journal of Operational Research, Elsevier, vol. 178(3), pages 699-717, May.
    9. Palhazi Cuervo, Daniel & Goos, Peter & Sörensen, Kenneth & Arráiz, Emely, 2014. "An iterated local search algorithm for the vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 237(2), pages 454-464.
    10. N Wassan, 2007. "Reactive tabu adaptive memory programming search for the vehicle routing problem with backhauls," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1630-1641, December.
    11. Liu, Ran & Xie, Xiaolan & Augusto, Vincent & Rodriguez, Carlos, 2013. "Heuristic algorithms for a vehicle routing problem with simultaneous delivery and pickup and time windows in home health care," European Journal of Operational Research, Elsevier, vol. 230(3), pages 475-486.
    12. Brandao, Jose, 2006. "A new tabu search algorithm for the vehicle routing problem with backhauls," European Journal of Operational Research, Elsevier, vol. 173(2), pages 540-555, September.
    13. José Brandão, 2016. "A deterministic iterated local search algorithm for the vehicle routing problem with backhauls," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(2), pages 445-465, July.
    14. YazgI Tütüncü, G. & Carreto, Carlos A.C. & Baker, Barrie M., 2009. "A visual interactive approach to classical and mixed vehicle routing problems with backhauls," Omega, Elsevier, vol. 37(1), pages 138-154, February.
    15. Omid Shahvari & Rasaratnam Logendran & Madjid Tavana, 2022. "An efficient model-based branch-and-price algorithm for unrelated-parallel machine batching and scheduling problems," Journal of Scheduling, Springer, vol. 25(5), pages 589-621, October.
    16. Qin, Hu & Moriakin, Anton & Xu, Gangyan & Li, Jiliu, 2024. "The generator distribution problem for base stations during emergency power outage: A branch-and-price-and-cut approach," European Journal of Operational Research, Elsevier, vol. 318(3), pages 752-767.
    17. Imai, Akio & Nishimura, Etsuko & Current, John, 2007. "A Lagrangian relaxation-based heuristic for the vehicle routing with full container load," European Journal of Operational Research, Elsevier, vol. 176(1), pages 87-105, January.
    18. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    19. Wade, A. C. & Salhi, S., 2002. "An investigation into a new class of vehicle routing problem with backhauls," Omega, Elsevier, vol. 30(6), pages 479-487, December.
    20. Tan, K.C. & Chew, Y.H. & Lee, L.H., 2006. "A hybrid multi-objective evolutionary algorithm for solving truck and trailer vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 172(3), pages 855-885, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ortrsc:v:40:y:2006:i:2:p:235-247. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.