IDEAS home Printed from https://ideas.repec.org/p/ant/wpaper/2013029.html
   My bibliography  Save this paper

The k-dissimilar vehicle routing problem

Author

Listed:
  • TALARICO, Luca
  • SÖRENSEN, Kenneth
  • SPRINGAEL, Johan

Abstract

In this paper we define a new problem, the aim of which is to find a set of k dissimilar alternative solutions for a vehicle routing problem (VRP) on a single instance. This problem has several practical applications in the cash-in-transit sector and in the transportation of hazardous materials. A min-max mathematical formulation is developed that minimizes the objective function value of the worst solution. A distance measure is defined based on the edges shared between pairs of alternative solutions. An iterative heuristic algorithm to generate k dissimilar alternative solutions is also presented. The solution approach is tested using large and medium size benchmark instances for the capacitated vehicle routing problem.

Suggested Citation

  • TALARICO, Luca & SÖRENSEN, Kenneth & SPRINGAEL, Johan, 2013. "The k-dissimilar vehicle routing problem," Working Papers 2013029, University of Antwerp, Faculty of Business and Economics.
    • Handle: RePEc:ant:wpaper:2013029
    as

    Download full text from publisher

    File URL: https://repository.uantwerpen.be/docman/irua/fb78be/bfc1e562.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marshall L. Fisher, 1994. "Optimal Solution of Vehicle Routing Problems Using Minimum K-Trees," Operations Research, INFORMS, vol. 42(4), pages 626-642, August.
    2. De Kort, Jeroen B. J. M., 1993. "A branch and bound algorithm for symmetric 2-Peripatetic Salesman Problems," European Journal of Operational Research, Elsevier, vol. 70(2), pages 229-243, October.
    3. Jin Y. Yen, 1971. "Finding the K Shortest Loopless Paths in a Network," Management Science, INFORMS, vol. 17(11), pages 712-716, July.
    4. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    5. Azevedo, JoseAugusto & Santos Costa, Maria Emilia O. & Silvestre Madeira, Joaquim Joao E. R. & Vieira Martins, Ernesto Q., 1993. "An algorithm for the ranking of shortest paths," European Journal of Operational Research, Elsevier, vol. 69(1), pages 97-106, August.
    6. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
    7. Éric Duchenne & Gilbert Laporte & Frédéric Semet, 2007. "The Undirected m -Peripatetic Salesman Problem: Polyhedral Results and New Algorithms," Operations Research, INFORMS, vol. 55(5), pages 949-965, October.
    8. Akgun, Vedat & Erkut, Erhan & Batta, Rajan, 2000. "On finding dissimilar paths," European Journal of Operational Research, Elsevier, vol. 121(2), pages 232-246, March.
    9. Ram Gopalan & Krishna S. Kolluri & Rajan Batta & Mark H. Karwan, 1990. "Modeling Equity of Risk in the Transportation of Hazardous Materials," Operations Research, INFORMS, vol. 38(6), pages 961-973, December.
    10. van Leeuwen, P. H. & Volgenant, A., 1983. "Solving symmetric vehicle routing problems asymmetrically," European Journal of Operational Research, Elsevier, vol. 12(4), pages 388-393, April.
    11. Dell'Olmo, Paolo & Gentili, Monica & Scozzari, Andrea, 2005. "On finding dissimilar Pareto-optimal paths," European Journal of Operational Research, Elsevier, vol. 162(1), pages 70-82, April.
    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. TALARICO, Luca & SÖRENSEN, Kenneth & SPRINGAEL, Johan, 2014. "A bi-objective model to increase security and reduce travel costs in the cash-in-transit sector," Working Papers 2014026, University of Antwerp, Faculty of Business and Economics.

    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. Talarico, L. & Sörensen, K. & Springael, J., 2015. "The k-dissimilar vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 129-140.
    2. Sandra Zajac, 2018. "On a two-phase solution approach for the bi-objective k-dissimilar vehicle routing problem," Journal of Heuristics, Springer, vol. 24(3), pages 515-550, June.
    3. César Rego & Fred Glover, 2010. "Ejection chain and filter-and-fan methods in combinatorial optimization," Annals of Operations Research, Springer, vol. 175(1), pages 77-105, March.
    4. Rasmussen, Thomas Kjær & Watling, David Paul & Prato, Carlo Giacomo & Nielsen, Otto Anker, 2015. "Stochastic user equilibrium with equilibrated choice sets: Part II – Solving the restricted SUE for the logit family," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 146-165.
    5. Pushak, Yasha & Hare, Warren & Lucet, Yves, 2016. "Multiple-path selection for new highway alignments using discrete algorithms," European Journal of Operational Research, Elsevier, vol. 248(2), pages 415-427.
    6. Lucio Bianco & Massimiliano Caramia & Stefano Giordani & Veronica Piccialli, 2016. "A Game-Theoretic Approach for Regulating Hazmat Transportation," Transportation Science, INFORMS, vol. 50(2), pages 424-438, May.
    7. Huili Zhang & Yinfeng Xu & Xingang Wen, 2015. "Optimal shortest path set problem in undirected graphs," Journal of Combinatorial Optimization, Springer, vol. 29(3), pages 511-530, April.
    8. Anurag Agarwal, 2009. "Theoretical insights into the augmented-neural-network approach for combinatorial optimization," Annals of Operations Research, Springer, vol. 168(1), pages 101-117, April.
    9. Chen, Yu-Wang & Zhu, Yao-Jia & Yang, Gen-Ke & Lu, Yong-Zai, 2011. "Improved extremal optimization for the asymmetric traveling salesman problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4459-4465.
    10. Mohri, Seyed Sina & Mohammadi, Mehrdad & Gendreau, Michel & Pirayesh, Amir & Ghasemaghaei, Ali & Salehi, Vahid, 2022. "Hazardous material transportation problems: A comprehensive overview of models and solution approaches," European Journal of Operational Research, Elsevier, vol. 302(1), pages 1-38.
    11. Ghosh, Diptesh, 2016. "Exploring Lin Kernighan neighborhoods for the indexing problem," IIMA Working Papers WP2016-02-13, Indian Institute of Management Ahmedabad, Research and Publication Department.
    12. ARNOLD, Florian & SÖRENSEN, Kenneth, 2017. "A simple, deterministic, and efficient knowledge-driven heuristic for the vehicle routing problem," Working Papers 2017012, University of Antwerp, Faculty of Business and Economics.
    13. Calvete, Herminia I. & Galé, Carmen & Iranzo, José A., 2016. "MEALS: A multiobjective evolutionary algorithm with local search for solving the bi-objective ring star problem," European Journal of Operational Research, Elsevier, vol. 250(2), pages 377-388.
    14. Gahm, Christian & Brabänder, Christian & Tuma, Axel, 2017. "Vehicle routing with private fleet, multiple common carriers offering volume discounts, and rental options," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 192-216.
    15. Zhou, Bo & Eskandarian, Azim, 2006. "A Non-Deterministic Path Generation Algorithm for Traffic Networks," 47th Annual Transportation Research Forum, New York, New York, March 23-25, 2006 208047, Transportation Research Forum.
    16. Hoogeboom, Maaike & Dullaert, Wout, 2019. "Vehicle routing with arrival time diversification," European Journal of Operational Research, Elsevier, vol. 275(1), pages 93-107.
    17. Hipólito Hernández-Pérez & Juan-José Salazar-González, 2004. "Heuristics for the One-Commodity Pickup-and-Delivery Traveling Salesman Problem," Transportation Science, INFORMS, vol. 38(2), pages 245-255, May.
    18. Yücel, E. & Salman, F.S. & Arsik, I., 2018. "Improving post-disaster road network accessibility by strengthening links against failures," European Journal of Operational Research, Elsevier, vol. 269(2), pages 406-422.
    19. Jiang, Zhongzhou & Liu, Jing & Wang, Shuai, 2016. "Traveling salesman problems with PageRank Distance on complex networks reveal community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 293-302.
    20. Bruce Golden & Zahra Naji-Azimi & S. Raghavan & Majid Salari & Paolo Toth, 2012. "The Generalized Covering Salesman Problem," INFORMS Journal on Computing, INFORMS, vol. 24(4), pages 534-553, November.

    More about this item

    Keywords

    Vehicle Routing Problem (VRP); Metaheuristic; Security; Similarity;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:ant:wpaper:2013029. 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: Joeri Nys (email available below). General contact details of provider: https://edirc.repec.org/data/ftufsbe.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.