IDEAS home Printed from https://ideas.repec.org/a/spr/joheur/v26y2020i3d10.1007_s10732-019-09406-z.html
   My bibliography  Save this article

The selective traveling salesman problem with draft limits

Author

Listed:
  • Shahin Gelareh

    (Université d’Artois)

  • Bernard Gendron

    (Université de Montréal)

  • Saïd Hanafi

    (Université Polytechnique Hauts-de-France)

  • Rahimeh Neamatian Monemi

    (University of Southampton)

  • Raca Todosijević

    (Université Polytechnique Hauts-de-France)

Abstract

This paper introduces the selective traveling salesman problem with draft limits, an extension of the traveling salesman problem with draft limits, wherein the goal is to design a maximum profit tour respecting draft limit constraints at the visited nodes. We propose a mixed integer linear programming (MILP) formulation for this problem. This MILP model is used to solve—to optimality—small size instances and to assess the quality of solutions obtained using a general variable neighborhood search heuristic that explores several neighborhood structures. Our extensive computational experiments confirm the efficiency of the method and the quality of the reported solutions.

Suggested Citation

  • Shahin Gelareh & Bernard Gendron & Saïd Hanafi & Rahimeh Neamatian Monemi & Raca Todosijević, 2020. "The selective traveling salesman problem with draft limits," Journal of Heuristics, Springer, vol. 26(3), pages 339-352, June.
    • Handle: RePEc:spr:joheur:v:26:y:2020:i:3:d:10.1007_s10732-019-09406-z
    DOI: 10.1007/s10732-019-09406-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10732-019-09406-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10732-019-09406-z?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. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.
    2. Pierre Hansen & Nenad Mladenović & Raca Todosijević & Saïd Hanafi, 2017. "Variable neighborhood search: basics and variants," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 423-454, September.
    3. Gerhard Reinelt, 1991. "TSPLIB—A Traveling Salesman Problem Library," INFORMS Journal on Computing, INFORMS, vol. 3(4), pages 376-384, November.
    4. Bruce L. Golden & Larry Levy & Rakesh Vohra, 1987. "The orienteering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 307-318, June.
    5. Dominique Feillet & Pierre Dejax & Michel Gendreau, 2005. "Traveling Salesman Problems with Profits," Transportation Science, INFORMS, vol. 39(2), pages 188-205, May.
    6. Battarra, Maria & Pessoa, Artur Alves & Subramanian, Anand & Uchoa, Eduardo, 2014. "Exact algorithms for the traveling salesman problem with draft limits," European Journal of Operational Research, Elsevier, vol. 235(1), pages 115-128.
    7. Vansteenwegen, Pieter & Souffriau, Wouter & Oudheusden, Dirk Van, 2011. "The orienteering problem: A survey," European Journal of Operational Research, Elsevier, vol. 209(1), pages 1-10, February.
    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. Bijun Wang & Zheyong Bian & Mo Mansouri, 2023. "Self-adaptive heuristic algorithms for the dynamic and stochastic orienteering problem in autonomous transportation system," Journal of Heuristics, Springer, vol. 29(1), pages 77-137, February.

    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. Ido Orenstein & Tal Raviv & Elad Sadan, 2019. "Flexible parcel delivery to automated parcel lockers: models, solution methods and analysis," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 683-711, December.
    2. Malaguti, Enrico & Martello, Silvano & Santini, Alberto, 2018. "The traveling salesman problem with pickups, deliveries, and draft limits," Omega, Elsevier, vol. 74(C), pages 50-58.
    3. Kobeaga, Gorka & Rojas-Delgado, Jairo & Merino, María & Lozano, Jose A., 2024. "A revisited branch-and-cut algorithm for large-scale orienteering problems," European Journal of Operational Research, Elsevier, vol. 313(1), pages 44-68.
    4. Fatih Rahim & Canan Sepil, 2014. "A location-routing problem in glass recycling," Annals of Operations Research, Springer, vol. 223(1), pages 329-353, December.
    5. Michael D. Moskal & Erdi Dasdemir & Rajan Batta, 2023. "Unmanned Aerial Vehicle Information Collection Missions with Uncertain Characteristics," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 120-137, January.
    6. Leticia Vargas & Nicolas Jozefowiez & Sandra Ulrich Ngueveu, 2017. "A dynamic programming operator for tour location problems applied to the covering tour problem," Journal of Heuristics, Springer, vol. 23(1), pages 53-80, February.
    7. Lei, Chao & Lin, Wei-Hua & Miao, Lixin, 2014. "A multicut L-shaped based algorithm to solve a stochastic programming model for the mobile facility routing and scheduling problem," European Journal of Operational Research, Elsevier, vol. 238(3), pages 699-710.
    8. Pierre Hansen & Nenad Mladenović & Raca Todosijević & Saïd Hanafi, 2017. "Variable neighborhood search: basics and variants," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 423-454, September.
    9. Afsaneh Amiri & Majid Salari, 2019. "Time-constrained maximal covering routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 415-468, June.
    10. Dolinskaya, Irina & Shi, Zhenyu (Edwin) & Smilowitz, Karen, 2018. "Adaptive orienteering problem with stochastic travel times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 1-19.
    11. Balcik, Burcu, 2017. "Site selection and vehicle routing for post-disaster rapid needs assessment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 101(C), pages 30-58.
    12. Markus Sinnl, 2021. "Mixed-integer programming approaches for the time-constrained maximal covering routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 497-542, June.
    13. Gunawan, Aldy & Lau, Hoong Chuin & Vansteenwegen, Pieter, 2016. "Orienteering Problem: A survey of recent variants, solution approaches and applications," European Journal of Operational Research, Elsevier, vol. 255(2), pages 315-332.
    14. Afsar, Hasan Murat & Afsar, Sezin & Palacios, Juan José, 2021. "Vehicle routing problem with zone-based pricing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 152(C).
    15. Orlis, Christos & Laganá, Demetrio & Dullaert, Wout & Vigo, Daniele, 2020. "Distribution with Quality of Service Considerations: The Capacitated Routing Problem with Profits and Service Level Requirements," Omega, Elsevier, vol. 93(C).
    16. Rahma Lahyani & Mahdi Khemakhem & Frédéric Semet, 2017. "A unified matheuristic for solving multi-constrained traveling salesman problems with profits," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 393-422, September.
    17. Freeman, Nickolas K. & Keskin, Burcu B. & Çapar, İbrahim, 2018. "Attractive orienteering problem with proximity and timing interactions," European Journal of Operational Research, Elsevier, vol. 266(1), pages 354-370.
    18. Álvarez-Miranda, Eduardo & Luipersbeck, Martin & Sinnl, Markus, 2018. "Gotta (efficiently) catch them all: Pokémon GO meets Orienteering Problems," European Journal of Operational Research, Elsevier, vol. 265(2), pages 779-794.
    19. Angelelli, E. & Archetti, C. & Vindigni, M., 2014. "The Clustered Orienteering Problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 404-414.
    20. Wei Zhang & Kai Wang & Shuaian Wang & Gilbert Laporte, 2020. "Clustered coverage orienteering problem of unmanned surface vehicles for water sampling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(5), pages 353-367, 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:spr:joheur:v:26:y:2020:i:3:d:10.1007_s10732-019-09406-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.