IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v289y2021i2p470-484.html
   My bibliography  Save this article

The Pickup and Delivery Problem with Split Loads and Transshipments: A Branch-and-Cut Solution Approach

Author

Listed:
  • Wolfinger, David
  • Salazar-González, Juan-José

Abstract

This paper addresses the design of routes for a fleet of vehicles serving customer requests. It is a pickup and delivery problem where each customer location can be visited several times, and load may be transshipped from one vehicle to another at specific locations. The aim is to minimize the sum of travel costs and transshipment costs. We present an arc-based mixed-integer formulation for the problem and propose a branch-and-cut algorithm for solving it. Extensive computational results illustrate the performance of the algorithm.

Suggested Citation

  • Wolfinger, David & Salazar-González, Juan-José, 2021. "The Pickup and Delivery Problem with Split Loads and Transshipments: A Branch-and-Cut Solution Approach," European Journal of Operational Research, Elsevier, vol. 289(2), pages 470-484.
    • Handle: RePEc:eee:ejores:v:289:y:2021:i:2:p:470-484
    DOI: 10.1016/j.ejor.2020.07.032
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221720306433
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2020.07.032?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. Neves-Moreira, F. & Amorim, P. & Guimarães, L. & Almada-Lobo, B., 2016. "A long-haul freight transportation problem: Synchronizing resources to deliver requests passing through multiple transshipment locations," European Journal of Operational Research, Elsevier, vol. 248(2), pages 487-506.
    2. G. Guastaroba & M. G. Speranza & D. Vigo, 2016. "Intermediate Facilities in Freight Transportation Planning: A Survey," Transportation Science, INFORMS, vol. 50(3), pages 763-789, August.
    3. Haddad, Matheus Nohra & Martinelli, Rafael & Vidal, Thibaut & Martins, Simone & Ochi, Luiz Satoru & Souza, Marcone Jamilson Freitas & Hartl, Richard, 2018. "Large neighborhood-based metaheuristic and branch-and-price for the pickup and delivery problem with split loads," European Journal of Operational Research, Elsevier, vol. 270(3), pages 1014-1027.
    4. Cortés, Cristián E. & Matamala, Martín & Contardo, Claudio, 2010. "The pickup and delivery problem with transfers: Formulation and a branch-and-cut solution method," European Journal of Operational Research, Elsevier, vol. 200(3), pages 711-724, February.
    5. Masson, Renaud & Ropke, Stefan & Lehuédé, Fabien & Péton, Olivier, 2014. "A branch-and-cut-and-price approach for the pickup and delivery problem with shuttle routes," European Journal of Operational Research, Elsevier, vol. 236(3), pages 849-862.
    6. Claudia Archetti & M. Grazia Speranza & Martin W. P. Savelsbergh, 2008. "An Optimization-Based Heuristic for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 42(1), pages 22-31, February.
    7. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 45-47, July.
    8. Guy Desaulniers, 2010. "Branch-and-Price-and-Cut for the Split-Delivery Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 58(1), pages 179-192, February.
    9. C. Archetti & M. Bouchard & G. Desaulniers, 2011. "Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows," Transportation Science, INFORMS, vol. 45(3), pages 285-298, August.
    10. Moshe Dror & Pierre Trudeau, 1990. "Split delivery routing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(3), pages 383-402, June.
    11. Nowak, Maciek & Ergun, Ozlem & White III, Chelsea C., 2009. "An empirical study on the benefit of split loads with the pickup and delivery problem," European Journal of Operational Research, Elsevier, vol. 198(3), pages 734-740, November.
    12. H.L.M. Kerivin & M. Lacroix & A.R. Mahjoub & A. Quilliot, 2008. "The splittable pickup and delivery problem with reloads," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 2(2), pages 112-133.
    13. Moshe Dror & Pierre Trudeau, 1989. "Savings by Split Delivery Routing," Transportation Science, INFORMS, vol. 23(2), pages 141-145, May.
    14. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 1-31, July.
    15. Sophie N. Parragh & Jorge Pinho de Sousa & Bernardo Almada-Lobo, 2015. "The Dial-a-Ride Problem with Split Requests and Profits," Transportation Science, INFORMS, vol. 49(2), pages 311-334, May.
    16. Jean-François Cordeau, 2006. "A Branch-and-Cut Algorithm for the Dial-a-Ride Problem," Operations Research, INFORMS, vol. 54(3), pages 573-586, June.
    17. Maciek Nowak & Özlem Ergun & Chelsea C. White, 2008. "Pickup and Delivery with Split Loads," Transportation Science, INFORMS, vol. 42(1), pages 32-43, February.
    18. Renaud Masson & Fabien Lehuédé & Olivier Péton, 2013. "An Adaptive Large Neighborhood Search for the Pickup and Delivery Problem with Transfers," Transportation Science, INFORMS, vol. 47(3), pages 344-355, August.
    19. Rais, A. & Alvelos, F. & Carvalho, M.S., 2014. "New mixed integer-programming model for the pickup-and-delivery problem with transshipment," European Journal of Operational Research, Elsevier, vol. 235(3), pages 530-539.
    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. Li, Siqiao & Zhu, Xiaoning & Shang, Pan & Li, Tianqi & Liu, Wenqian, 2023. "Optimizing a shared freight and passenger high-speed railway system: A multi-commodity flow formulation with Benders decomposition solution approach," Transportation Research Part B: Methodological, Elsevier, vol. 172(C), pages 1-31.
    2. Schulz, Arne & Pfeiffer, Christian, 2024. "Using fixed paths to improve branch-and-cut algorithms for precedence-constrained routing problems," European Journal of Operational Research, Elsevier, vol. 312(2), pages 456-472.
    3. Lyu, Zefeng & Yu, Andrew Junfang, 2023. "The pickup and delivery problem with transshipments: Critical review of two existing models and a new formulation," European Journal of Operational Research, Elsevier, vol. 305(1), pages 260-270.
    4. Hellsten, Erik Orm & Sacramento, David & Pisinger, David, 2022. "A branch-and-price algorithm for solving the single-hub feeder network design problem," European Journal of Operational Research, Elsevier, vol. 300(3), pages 902-916.
    5. Falkenberg, Sven F. & Spinler, Stefan & Strauss, Arne K., 2024. "An algorithm for flexible transshipments with perfect synchronization," European Journal of Operational Research, Elsevier, vol. 315(3), pages 913-925.
    6. Wang, Meng & Yu, Hang & Yang, Yikun & Lin, Xiaoyu & Guo, Haijin & Li, Chaoen & Zhou, Yue & Jing, Rui, 2021. "Unlocking emerging impacts of carbon tax on integrated energy systems through supply and demand co-optimization," Applied Energy, Elsevier, vol. 302(C).
    7. Zhen, Lu & Baldacci, Roberto & Tan, Zheyi & Wang, Shuaian & Lyu, Junyan, 2022. "Scheduling heterogeneous delivery tasks on a mixed logistics platform," European Journal of Operational Research, Elsevier, vol. 298(2), pages 680-698.
    8. Xiaxia Ma & Wenliang Bian & Wenchao Wei & Fei Wei, 2022. "Customer-Centric, Two-Product Split Delivery Vehicle Routing Problem under Consideration of Weighted Customer Waiting Time in Power Industry," Energies, MDPI, vol. 15(10), pages 1-23, May.
    9. Arnau, Quim & Barrena, Eva & Panadero, Javier & de la Torre, Rocio & Juan, Angel A., 2022. "A biased-randomized discrete-event heuristic for coordinated multi-vehicle container transport across interconnected networks," European Journal of Operational Research, Elsevier, vol. 302(1), pages 348-362.

    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. Sophie N. Parragh & Jorge Pinho de Sousa & Bernardo Almada-Lobo, 2015. "The Dial-a-Ride Problem with Split Requests and Profits," Transportation Science, INFORMS, vol. 49(2), pages 311-334, May.
    2. Bolor Jargalsaikhan & Ward Romeijnders & Kees Jan Roodbergen, 2021. "A Compact Arc-Based ILP Formulation for the Pickup and Delivery Problem with Divisible Pickups and Deliveries," Transportation Science, INFORMS, vol. 55(2), pages 336-352, March.
    3. David Wolfinger & Fabien Tricoire & Karl F. Doerner, 2019. "A matheuristic for a multimodal long haul routing problem," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(4), pages 397-433, December.
    4. Luciano Costa & Claudio Contardo & Guy Desaulniers, 2019. "Exact Branch-Price-and-Cut Algorithms for Vehicle Routing," Transportation Science, INFORMS, vol. 53(4), pages 946-985, July.
    5. Paul Buijs & Jose Alejandro Lopez Alvarez & Marjolein Veenstra & Kees Jan Roodbergen, 2016. "Improved Collaborative Transport Planning at Dutch Logistics Service Provider Fritom," Interfaces, INFORMS, vol. 46(2), pages 119-132, April.
    6. Falkenberg, Sven F. & Spinler, Stefan & Strauss, Arne K., 2024. "An algorithm for flexible transshipments with perfect synchronization," European Journal of Operational Research, Elsevier, vol. 315(3), pages 913-925.
    7. Gábor Nagy & Niaz A. Wassan & M. Grazia Speranza & Claudia Archetti, 2015. "The Vehicle Routing Problem with Divisible Deliveries and Pickups," Transportation Science, INFORMS, vol. 49(2), pages 271-294, May.
    8. Margaretha Gansterer & Murat Küçüktepe & Richard F. Hartl, 2017. "The multi-vehicle profitable pickup and delivery problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 303-319, January.
    9. Jianli Shi & Jin Zhang & Kun Wang & Xin Fang, 2018. "Particle Swarm Optimization for Split Delivery Vehicle Routing Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(02), pages 1-42, April.
    10. Jiliu Li & Zhixing Luo & Roberto Baldacci & Hu Qin & Zhou Xu, 2023. "A New Exact Algorithm for Single-Commodity Vehicle Routing with Split Pickups and Deliveries," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 31-49, January.
    11. Masson, Renaud & Ropke, Stefan & Lehuédé, Fabien & Péton, Olivier, 2014. "A branch-and-cut-and-price approach for the pickup and delivery problem with shuttle routes," European Journal of Operational Research, Elsevier, vol. 236(3), pages 849-862.
    12. Fu, Zhexi & Chow, Joseph Y.J., 2022. "The pickup and delivery problem with synchronized en-route transfers for microtransit planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    13. Leonardo Berbotto & Sergio García & Francisco Nogales, 2014. "A Randomized Granular Tabu Search heuristic for the split delivery vehicle routing problem," Annals of Operations Research, Springer, vol. 222(1), pages 153-173, November.
    14. Sharif Azadeh, Sh. & Atasoy, Bilge & Ben-Akiva, Moshe E. & Bierlaire, M. & Maknoon, M.Y., 2022. "Choice-driven dial-a-ride problem for demand responsive mobility service," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 128-149.
    15. Yildiz, Hakan & Ravi, R. & Fairey, Wayne, 2010. "Integrated optimization of customer and supplier logistics at Robert Bosch LLC," European Journal of Operational Research, Elsevier, vol. 207(1), pages 456-464, November.
    16. Ho, Sin C. & Szeto, W.Y. & Kuo, Yong-Hong & Leung, Janny M.Y. & Petering, Matthew & Tou, Terence W.H., 2018. "A survey of dial-a-ride problems: Literature review and recent developments," Transportation Research Part B: Methodological, Elsevier, vol. 111(C), pages 395-421.
    17. Hennig, F. & Nygreen, B. & Furman, K.C. & Song, J., 2015. "Alternative approaches to the crude oil tanker routing and scheduling problem with split pickup and split delivery," European Journal of Operational Research, Elsevier, vol. 243(1), pages 41-51.
    18. Mahmoudi, Monirehalsadat & Chen, Junhua & Shi, Tie & Zhang, Yongxiang & Zhou, Xuesong, 2019. "A cumulative service state representation for the pickup and delivery problem with transfers," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 351-380.
    19. Lyu, Zefeng & Yu, Andrew Junfang, 2023. "The pickup and delivery problem with transshipments: Critical review of two existing models and a new formulation," European Journal of Operational Research, Elsevier, vol. 305(1), pages 260-270.
    20. Salazar-González, Juan-José & Santos-Hernández, Beatriz, 2015. "The split-demand one-commodity pickup-and-delivery travelling salesman problem," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 58-73.

    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:ejores:v:289:y:2021:i:2:p:470-484. 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/eor .

    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.