IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v144y2013i2p461-467.html
   My bibliography  Save this article

VRP12 (vehicle routing problem with distances one and two) with side constraints

Author

Listed:
  • Ceranoglu, Ahmet N.
  • Duman, Ekrem

Abstract

The problem undertaken in this study is inspired from a real life application. Consider a vehicle routing problem where the distances between the customer locations are either one or two. We name this problem as VRP12 in an analogy for the name TSP12 used for the traveling salesman problem in the literature. Additionally, assume that, the time to visit each customer is not constant and the visiting time together with the travel time constitutes the capacity of the vehicle. Furthermore, each customer has two characteristics and any two customers having a common characteristic should not be visited at the same time. If visited, a penalty fee incurs. In this study, we give the formulation of this problem and suggest some simple but effective algorithms that can be used to solve it. The algorithms are built with the relaxation of the side constraints but their performances are evaluated with their success in satisfying them. Information on our case study is also provided.

Suggested Citation

  • Ceranoglu, Ahmet N. & Duman, Ekrem, 2013. "VRP12 (vehicle routing problem with distances one and two) with side constraints," International Journal of Production Economics, Elsevier, vol. 144(2), pages 461-467.
    • Handle: RePEc:eee:proeco:v:144:y:2013:i:2:p:461-467
    DOI: 10.1016/j.ijpe.2013.03.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527313001308
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2013.03.014?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. E Duman & M H Ozcelik & A N Ceranoglu, 2005. "A TSP (1,2) application arising in cable assembly shops," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 642-648, June.
    2. Christos H. Papadimitriou & Mihalis Yannakakis, 1993. "The Traveling Salesman Problem with Distances One and Two," Mathematics of Operations Research, INFORMS, vol. 18(1), pages 1-11, February.
    3. Jin, Mingzhou & Liu, Kai & Bowden, Royce O., 2007. "A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 105(1), pages 228-242, January.
    4. Nagy, Gabor & Salhi, Said, 2005. "Heuristic algorithms for single and multiple depot vehicle routing problems with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 162(1), pages 126-141, April.
    5. Laporte, Gilbert, 1992. "The vehicle routing problem: An overview of exact and approximate algorithms," European Journal of Operational Research, Elsevier, vol. 59(3), pages 345-358, June.
    6. Hong, Sung-Chul & Park, Yang-Byung, 1999. "A heuristic for bi-objective vehicle routing with time window constraints," International Journal of Production Economics, Elsevier, vol. 62(3), pages 249-258, September.
    7. Kritikos, Manolis N. & Ioannou, George, 2013. "The heterogeneous fleet vehicle routing problem with overloads and time windows," International Journal of Production Economics, Elsevier, vol. 144(1), pages 68-75.
    8. Wang, Hsiao-Fan & Chen, Ying-Yen, 2013. "A coevolutionary algorithm for the flexible delivery and pickup problem with time windows," International Journal of Production Economics, Elsevier, vol. 141(1), pages 4-13.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jbili, S. & Chelbi, A. & Radhoui, M. & Kessentini, M., 2018. "Integrated strategy of Vehicle Routing and Maintenance," Reliability Engineering and System Safety, Elsevier, vol. 170(C), pages 202-214.
    2. Jana, R.K. & Mitra, Subrata K. & Sharma, Dinesh K., 2018. "Software vendors travel management decisions using an elitist nonhomogeneous genetic algorithm," International Journal of Production Economics, Elsevier, vol. 202(C), pages 123-131.
    3. Kuo, Tsai Chi & Chen, Gary Yu-Hsin & Wang, Miao Ling & Ho, Ming Way, 2014. "Carbon footprint inventory route planning and selection of hot spot suppliers," International Journal of Production Economics, Elsevier, vol. 150(C), pages 125-139.

    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. Ferrer, Laia & Pastor, Rafael & García-Villoria, Alberto, 2009. "Designing salespeople's routes with multiple visits of customers: A case study," International Journal of Production Economics, Elsevier, vol. 119(1), pages 46-54, May.
    2. Tsirimpas, P. & Tatarakis, A. & Minis, I. & Kyriakidis, E.G., 2008. "Single vehicle routing with a predefined customer sequence and multiple depot returns," European Journal of Operational Research, Elsevier, vol. 187(2), pages 483-495, June.
    3. Kuo, Tsai Chi & Chen, Gary Yu-Hsin & Wang, Miao Ling & Ho, Ming Way, 2014. "Carbon footprint inventory route planning and selection of hot spot suppliers," International Journal of Production Economics, Elsevier, vol. 150(C), pages 125-139.
    4. Jana, R.K. & Mitra, Subrata K. & Sharma, Dinesh K., 2018. "Software vendors travel management decisions using an elitist nonhomogeneous genetic algorithm," International Journal of Production Economics, Elsevier, vol. 202(C), pages 123-131.
    5. Kritikos, Manolis N. & Ioannou, George, 2010. "The balanced cargo vehicle routing problem with time windows," International Journal of Production Economics, Elsevier, vol. 123(1), pages 42-51, January.
    6. Yu, Junfang & Dong, Yuanyuan, 2013. "Maximizing profit for vehicle routing under time and weight constraints," International Journal of Production Economics, Elsevier, vol. 145(2), pages 573-583.
    7. Iassinovskaia, Galina & Limbourg, Sabine & Riane, Fouad, 2017. "The inventory-routing problem of returnable transport items with time windows and simultaneous pickup and delivery in closed-loop supply chains," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 570-582.
    8. Santos, Maria João & Jorge, Diana & Ramos, Tânia & Barbosa-Póvoa, Ana, 2023. "Green reverse logistics: Exploring the vehicle routing problem with deliveries and pickups," Omega, Elsevier, vol. 118(C).
    9. Sumitkumar, Rathor & Al-Sumaiti, Ameena Saad, 2024. "Shared autonomous electric vehicle: Towards social economy of energy and mobility from power-transportation nexus perspective," Renewable and Sustainable Energy Reviews, Elsevier, vol. 197(C).
    10. Pandelis, D.G. & Karamatsoukis, C.C. & Kyriakidis, E.G., 2013. "Finite and infinite-horizon single vehicle routing problems with a predefined customer sequence and pickup and delivery," European Journal of Operational Research, Elsevier, vol. 231(3), pages 577-586.
    11. Almoustafa, Samira & Hanafi, Said & Mladenović, Nenad, 2013. "New exact method for large asymmetric distance-constrained vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 226(3), pages 386-394.
    12. César Rego, 1998. "A Subpath Ejection Method for the Vehicle Routing Problem," Management Science, INFORMS, vol. 44(10), pages 1447-1459, October.
    13. Rubio, Francisco & Llopis-Albert, Carlos & Valero, Francisco, 2021. "Multi-objective optimization of costs and energy efficiency associated with autonomous industrial processes for sustainable growth," Technological Forecasting and Social Change, Elsevier, vol. 173(C).
    14. Castellano, Davide & Gallo, Mosè & Grassi, Andrea & Santillo, Liberatina C., 2019. "The effect of GHG emissions on production, inventory replenishment and routing decisions in a single vendor-multiple buyers supply chain," International Journal of Production Economics, Elsevier, vol. 218(C), pages 30-42.
    15. Ali, Agha Iqbal & O'Connor, Debra J., 2010. "The impact of distribution system characteristics on computational tractability," European Journal of Operational Research, Elsevier, vol. 200(2), pages 323-333, January.
    16. R. Baldacci & E. Hadjiconstantinou & A. Mingozzi, 2004. "An Exact Algorithm for the Capacitated Vehicle Routing Problem Based on a Two-Commodity Network Flow Formulation," Operations Research, INFORMS, vol. 52(5), pages 723-738, October.
    17. Kafle, Nabin & Zou, Bo & Lin, Jane, 2017. "Design and modeling of a crowdsource-enabled system for urban parcel relay and delivery," Transportation Research Part B: Methodological, Elsevier, vol. 99(C), pages 62-82.
    18. Bani, Abderrahman & El Hallaoui, Issmail & Corréa, Ayoub Insa & Tahir, Adil, 2023. "Solving a real-world multi-depot multi-period petrol replenishment problem with complex loading constraints," European Journal of Operational Research, Elsevier, vol. 311(1), pages 154-172.
    19. 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.
    20. Bektaş, Tolga, 2012. "Formulations and Benders decomposition algorithms for multidepot salesmen problems with load balancing," European Journal of Operational Research, Elsevier, vol. 216(1), pages 83-93.

    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:eee:proeco:v:144:y:2013:i:2:p:461-467. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.