IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v286y2020i1d10.1007_s10479-018-3117-3.html
   My bibliography  Save this article

A two-level evolutionary algorithm for solving the petrol station replenishment problem with periodicity constraints and service choice

Author

Listed:
  • Nasr Al-Hinai

    (Sultan Qaboos University)

  • Chefi Triki

    (Sultan Qaboos University
    University of Salento)

Abstract

This paper addresses the petrol station replenishment problem with periodicity constraints and introduces the frequency service choice as a decision variable. We present a mathematical optimization model for the problem and we develop first a simple heuristic method that is able to handle the complexity of the problem and then two metaheuristic approaches based on a novel two-level evolutionary algorithm. The first level deals with the periodicity and frequency selection of the visits to the petrol stations. The second level of evolution assigns the stations to the tank-trucks such that the total traveled distance is minimized. The effectiveness of the proposed approaches has been tested by means of a comprehensive experimental study by using first a set of randomly generated test cases and then a real-life problem.

Suggested Citation

  • Nasr Al-Hinai & Chefi Triki, 2020. "A two-level evolutionary algorithm for solving the petrol station replenishment problem with periodicity constraints and service choice," Annals of Operations Research, Springer, vol. 286(1), pages 325-350, March.
    • Handle: RePEc:spr:annopr:v:286:y:2020:i:1:d:10.1007_s10479-018-3117-3
    DOI: 10.1007/s10479-018-3117-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-018-3117-3
    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/s10479-018-3117-3?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. Ali Diabat & Tarek Abdallah & Tung Le, 2016. "A hybrid tabu search based heuristic for the periodic distribution inventory problem with perishable goods," Annals of Operations Research, Springer, vol. 242(2), pages 373-398, July.
    2. Peter Francis & Karen Smilowitz & Michal Tzur, 2006. "The Period Vehicle Routing Problem with Service Choice," Transportation Science, INFORMS, vol. 40(4), pages 439-454, November.
    3. Chefi Triki & Nasr Al-Hinai, 2016. "Optimisation techniques for planning the petrol replenishment to retail stations over a multi-period horizon," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 27(1/2), pages 341-355.
    4. Cornillier, Fabien & Boctor, Fayez & Renaud, Jacques, 2012. "Heuristics for the multi-depot petrol station replenishment problem with time windows," European Journal of Operational Research, Elsevier, vol. 220(2), pages 361-369.
    5. Martin, Simon & Ouelhadj, Djamila & Beullens, Patrick & Ozcan, Ender & Juan, Angel A. & Burke, Edmund K., 2016. "A multi-agent based cooperative approach to scheduling and routing," European Journal of Operational Research, Elsevier, vol. 254(1), pages 169-178.
    6. Francis, Peter & Smilowitz, Karen, 2006. "Modeling techniques for periodic vehicle routing problems," Transportation Research Part B: Methodological, Elsevier, vol. 40(10), pages 872-884, December.
    7. Boctor, Fayez F. & Renaud, Jacques & Cornillier, Fabien, 2011. "Trip packing in petrol stations replenishment," Omega, Elsevier, vol. 39(1), pages 86-98, January.
    8. Gerald G. Brown & Carol J. Ellis & Glenn W. Graves & David Ronen, 1987. "Real-Time, Wide Area Dispatch of Mobil Tank Trucks," Interfaces, INFORMS, vol. 17(1), pages 107-120, February.
    9. Tan, C.C.R. & Beasley, J.E., 1984. "A heuristic algorithm for the period vehicle routing problem," Omega, Elsevier, vol. 12(5), pages 497-504.
    10. Cornillier, Fabien & Boctor, Fayez F. & Laporte, Gilbert & Renaud, Jacques, 2008. "A heuristic for the multi-period petrol station replenishment problem," European Journal of Operational Research, Elsevier, vol. 191(2), pages 295-305, December.
    11. Roberto Baldacci & Paolo Toth & Daniele Vigo, 2010. "Exact algorithms for routing problems under vehicle capacity constraints," Annals of Operations Research, Springer, vol. 175(1), pages 213-245, March.
    12. W L Ng & S C H Leung & J K P Lam & S W Pan, 2008. "Petrol delivery tanker assignment and routing: a case study in Hong Kong," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(9), pages 1191-1200, September.
    13. Theodore Athanasopoulos & Ioannis Minis, 2013. "Efficient techniques for the multi-period vehicle routing problem with time windows within a branch and price framework," Annals of Operations Research, Springer, vol. 206(1), pages 1-22, July.
    14. Liang-Liang Fu & Mohamed Ali Aloulou & Chefi Triki, 2017. "Integrated production scheduling and vehicle routing problem with job splitting and delivery time windows," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 5942-5957, October.
    15. Gerald G. Brown & Glenn W. Graves, 1981. "Real-Time Dispatch of Petroleum Tank Trucks," Management Science, INFORMS, vol. 27(1), pages 19-32, January.
    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. Jianyu Long & Zhong Zheng & Xiaoqiang Gao & Panos M. Pardalos & Wanzhe Hu, 2020. "An effective heuristic based on column generation for the two-dimensional three-stage steel plate cutting problem," Annals of Operations Research, Springer, vol. 289(2), pages 291-311, June.
    2. Pasquale Carotenuto & Stefano Giordani & Alessio Salvatore, 2024. "A Matheuristic Approach for the Multi-Depot Periodic Petrol Station Replenishment Problem," Mathematics, MDPI, vol. 12(3), pages 1-19, January.

    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. Ostermeier, Manuel & Henke, Tino & Hübner, Alexander & Wäscher, Gerhard, 2021. "Multi-compartment vehicle routing problems: State-of-the-art, modeling framework and future directions," European Journal of Operational Research, Elsevier, vol. 292(3), pages 799-817.
    2. 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.
    3. Yan Cheng Hsu & Jose L. Walteros & Rajan Batta, 2020. "Solving the petroleum replenishment and routing problem with variable demands and time windows," Annals of Operations Research, Springer, vol. 294(1), pages 9-46, November.
    4. Vasilii A. Gromov & Konstantin A. Kuznietzov & Timothy Pigden, 2019. "Decision support system for light petroleum products supply chain," Operational Research, Springer, vol. 19(1), pages 219-236, March.
    5. Ann-Kathrin Rothenbächer, 2017. "Branch-and-Price-and-Cut for the Periodic Vehicle Routing Problem with Flexible Schedule Structures," Working Papers 1714, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    6. Cornillier, Fabien & Boctor, Fayez & Renaud, Jacques, 2012. "Heuristics for the multi-depot petrol station replenishment problem with time windows," European Journal of Operational Research, Elsevier, vol. 220(2), pages 361-369.
    7. Schmid, Verena & Doerner, Karl F. & Laporte, Gilbert, 2013. "Rich routing problems arising in supply chain management," European Journal of Operational Research, Elsevier, vol. 224(3), pages 435-448.
    8. Muyldermans, L. & Pang, G., 2010. "On the benefits of co-collection: Experiments with a multi-compartment vehicle routing algorithm," European Journal of Operational Research, Elsevier, vol. 206(1), pages 93-103, October.
    9. Song, Ruidian & Zhao, Lei & Van Woensel, Tom & Fransoo, Jan C., 2019. "Coordinated delivery in urban retail," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 122-148.
    10. Samira Mirzaei & Sanne Wøhlk, 2019. "A Branch-and-Price algorithm for two multi-compartment vehicle routing problems," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(1), pages 1-33, March.
    11. Ann-Kathrin Rothenbächer, 2019. "Branch-and-Price-and-Cut for the Periodic Vehicle Routing Problem with Flexible Schedule Structures," Transportation Science, INFORMS, vol. 53(3), pages 850-866, May.
    12. Furkan Uzar, M. & Çatay, Bülent, 2012. "Distribution planning of bulk lubricants at BP Turkey," Omega, Elsevier, vol. 40(6), pages 870-881.
    13. Peter Francis & Karen Smilowitz & Michal Tzur, 2007. "Flexibility and complexity in periodic distribution problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(2), pages 136-150, March.
    14. Guilherme Baptista & Miguel Vieira & Telmo Pinto, 2024. "An Exact Approach to the Multi-Compartment Vehicle Routing Problem: The Case of a Fuel Distribution Company," Mathematics, MDPI, vol. 12(4), pages 1-14, February.
    15. Dong, Zhijie & Turnquist, Mark A., 2015. "Combining service frequency and vehicle routing for managing supplier shipments," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 231-243.
    16. Hiba Yahyaoui & Islem Kaabachi & Saoussen Krichen & Abdulkader Dekdouk, 2020. "Two metaheuristic approaches for solving the multi-compartment vehicle routing problem," Operational Research, Springer, vol. 20(4), pages 2085-2108, December.
    17. Lei, Chao & Zhang, Qian & Ouyang, Yanfeng, 2017. "Planning of parking enforcement patrol considering drivers’ parking payment behavior," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 375-392.
    18. Pasquale Carotenuto & Stefano Giordani & Alessio Salvatore, 2024. "A Matheuristic Approach for the Multi-Depot Periodic Petrol Station Replenishment Problem," Mathematics, MDPI, vol. 12(3), pages 1-19, January.
    19. Songyi Wang & Fengming Tao & Yuhe Shi, 2018. "Optimization of Inventory Routing Problem in Refined Oil Logistics with the Perspective of Carbon Tax," Energies, MDPI, vol. 11(6), pages 1-17, June.
    20. Lahyani, Rahma & Khemakhem, Mahdi & Semet, Frédéric, 2015. "Rich vehicle routing problems: From a taxonomy to a definition," European Journal of Operational Research, Elsevier, vol. 241(1), pages 1-14.

    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:annopr:v:286:y:2020:i:1:d:10.1007_s10479-018-3117-3. 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.