IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v106y2017icp231-254.html
   My bibliography  Save this article

An exact algorithm for the container drayage problem under a separation mode

Author

Listed:
  • Song, Yujian
  • Zhang, Jiantong
  • Liang, Zhe
  • Ye, Chunming

Abstract

In this paper, we consider the container drayage problem under a separation mode in which a container can be separated from the truck during (un-)loading operation, and some emptied containers should return to the depot for maintenance. The problem is equivalently transformed into a variant of the asymmetric vehicle routing problem with time windows (a-VRPTW) based on a determined-activities-on-vertex (DAOV) graph. We present an arc-flow formulation and propose a branch-and-price-and-cut algorithm to exactly solve it. Computational results on a set of randomly generated instances show that the proposed algorithm outperforms CPLEX in terms of efficiency and effectiveness and the separation mode is advantageous over the stay-with mode.

Suggested Citation

  • Song, Yujian & Zhang, Jiantong & Liang, Zhe & Ye, Chunming, 2017. "An exact algorithm for the container drayage problem under a separation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 231-254.
    • Handle: RePEc:eee:transe:v:106:y:2017:i:c:p:231-254
    DOI: 10.1016/j.tre.2017.07.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554517300236
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tre.2017.07.010?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. Namboothiri, Rajeev & Erera, Alan L., 2008. "Planning local container drayage operations given a port access appointment system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(2), pages 185-202, March.
    2. Chen, Qingfeng & Li, Kunpeng & Liu, Zhixue, 2014. "Model and algorithm for an unpaired pickup and delivery vehicle routing problem with split loads," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 69(C), pages 218-235.
    3. Xue, Zhaojie & Zhang, Canrong & Lin, Wei-Hua & Miao, Lixin & Yang, Peng, 2014. "A tabu search heuristic for the local container drayage problem under a new operation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 136-150.
    4. 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.
    5. Luo, Zhixing & Qin, Hu & Lim, Andrew, 2014. "Branch-and-price-and-cut for the multiple traveling repairman problem with distance constraints," European Journal of Operational Research, Elsevier, vol. 234(1), pages 49-60.
    6. Zhang, Ruiyou & Yun, Won Young & Moon, Ilkyeong, 2009. "A reactive tabu search algorithm for the multi-depot container truck transportation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(6), pages 904-914, November.
    7. Cheung, Raymond K. & Shi, Ning & Powell, Warren B. & Simao, Hugo P., 2008. "An attribute-decision model for cross-border drayage problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(2), pages 217-234, March.
    8. 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.
    9. Zamorano, Emilio & Stolletz, Raik, 2017. "Branch-and-price approaches for the Multiperiod Technician Routing and Scheduling Problem," European Journal of Operational Research, Elsevier, vol. 257(1), pages 55-68.
    10. Liu, Ran & Jiang, Zhibin, 2012. "The close–open mixed vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 220(2), pages 349-360.
    11. Jula, Hossein & Dessouky, Maged & Ioannou, Petros & Chassiakos, Anastasios, 2005. "Container movement by trucks in metropolitan networks: modeling and optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(3), pages 235-259, May.
    12. 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.
    13. Ponboon, Sattrawut & Qureshi, Ali Gul & Taniguchi, Eiichi, 2016. "Branch-and-price algorithm for the location-routing problem with time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 86(C), pages 1-19.
    14. Funke, Julia & Kopfer, Herbert, 2016. "A model for a multi-size inland container transportation problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 89(C), pages 70-85.
    15. Stefan Ropke & Jean-François Cordeau, 2009. "Branch and Cut and Price for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 43(3), pages 267-286, August.
    16. 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.
    17. Shiri, Samaneh & Huynh, Nathan, 2016. "Optimization of drayage operations with time-window constraints," International Journal of Production Economics, Elsevier, vol. 176(C), pages 7-20.
    18. Macharis, C. & Bontekoning, Y. M., 2004. "Opportunities for OR in intermodal freight transport research: A review," European Journal of Operational Research, Elsevier, vol. 153(2), pages 400-416, March.
    19. Zhang, Ruiyou & Lu, Jye-Chyi & Wang, Dingwei, 2014. "Container drayage problem with flexible orders and its near real-time solution strategies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 235-251.
    20. Niklas Kohl & Jacques Desrosiers & Oli B. G. Madsen & Marius M. Solomon & François Soumis, 1999. "2-Path Cuts for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 33(1), pages 101-116, February.
    21. Zhang, Ruiyou & Yun, Won Young & Moon, Il Kyeong, 2011. "Modeling and optimization of a container drayage problem with resource constraints," International Journal of Production Economics, Elsevier, vol. 133(1), pages 351-359, September.
    22. Yetkin Ileri & Mokhtar Bazaraa & Ted Gifford & George Nemhauser & Joel Sokol & Erick Wikum, 2006. "An optimization approach for planning daily drayage operations," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(2), pages 141-156, June.
    23. Nossack, Jenny & Pesch, Erwin, 2013. "A truck scheduling problem arising in intermodal container transportation," European Journal of Operational Research, Elsevier, vol. 230(3), pages 666-680.
    24. Ilaria Vacca & Matteo Salani & Michel Bierlaire, 2013. "An Exact Algorithm for the Integrated Planning of Berth Allocation and Quay Crane Assignment," Transportation Science, INFORMS, vol. 47(2), pages 148-161, May.
    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. Shan, Wenxuan & Peng, Zixuan & Liu, Jiaming & Yao, Baozhen & Yu, Bin, 2020. "An exact algorithm for inland container transportation network design," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 41-82.
    2. Cui, Haipeng & Chen, Shukai & Chen, Rui & Meng, Qiang, 2022. "A two-stage hybrid heuristic solution for the container drayage problem with trailer reposition," European Journal of Operational Research, Elsevier, vol. 299(2), pages 468-482.
    3. Xia, Yang & Zeng, Wenjia & Zhang, Canrong & Yang, Hai, 2023. "A branch-and-price-and-cut algorithm for the vehicle routing problem with load-dependent drones," Transportation Research Part B: Methodological, Elsevier, vol. 171(C), pages 80-110.
    4. Benantar, A. & Abourraja, M.N. & Boukachour, J. & Boudebous, D. & Duvallet, C., 2020. "On the integration of container availability constraints into daily drayage operations arising in France: Modelling and optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    5. You, Jintao & Wang, Yuan & Xue, Zhaojie, 2023. "An exact algorithm for the multi-trip container drayage problem with truck platooning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
    6. Lange, Ann-Kathrin & Nellen, Nicole & Jahn, Carlos, 2022. "Truck appointment systems: How can they be improved and what are their limits?," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Kersten, Wolfgang & Jahn, Carlos & Blecker, Thorsten & Ringle, Christian M. (ed.), Changing Tides: The New Role of Resilience and Sustainability in Logistics and Supply Chain Management – Innovative Approaches for the Shift to a New , volume 33, pages 615-655, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.
    7. Bustos-Coral, Daniel & Costa, Alysson M., 2022. "Drayage routing with heterogeneous fleet, compatibility constraints, and truck load configurations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    8. Yan, Xiaoyuan & Xu, Min & Xie, Chi, 2023. "Local container drayage problem with improved truck platooning operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 169(C).
    9. Van Son Nguyen & Quang Dung Pham & Thanh Trung Huynh, 2024. "Modelling and solving a real-world truck-trailer scheduling problem in container transportation with separate moving objects," OPSEARCH, Springer;Operational Research Society of India, vol. 61(2), pages 628-661, June.
    10. Chen, Rui & Jia, Shuai & Meng, Qiang, 2023. "Dynamic container drayage booking and routing decision support approach for E-commerce platforms," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).
    11. Xuhui Yu & Yin Feng & Cong He & Chang Liu, 2024. "Modeling and Optimization of Container Drayage Problem with Empty Container Constraints across Multiple Inland Depots," Sustainability, MDPI, vol. 16(12), pages 1-32, June.
    12. Escudero-Santana, Alejandro & Muñuzuri, Jesús & Cortés, Pablo & Onieva, Luis, 2021. "The one container drayage problem with soft time windows," Research in Transportation Economics, Elsevier, vol. 90(C).
    13. You, Jintao & Miao, Lixin & Zhang, Canrong & Xue, Zhaojie, 2020. "A generic model for the local container drayage problem using the emerging truck platooning operation mode," Transportation Research Part B: Methodological, Elsevier, vol. 133(C), pages 181-209.
    14. Jia, Shuai & Cui, Haipeng & Chen, Rui & Meng, Qiang, 2022. "Dynamic container drayage with uncertain request arrival times and service time windows," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 237-258.
    15. Moghaddam, Mahboobeh & Pearce, Robin H. & Mokhtar, Hamid & Prato, Carlo G., 2020. "A generalised model for container drayage operations with heterogeneous fleet, multi-container sizes and two modes of operation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 139(C).
    16. Chen, Rui & Chen, Shukai & Cui, Haipeng & Meng, Qiang, 2021. "The container drayage problem for heterogeneous trucks with multiple loads: A revisit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    17. Chen, Rui & Meng, Qiang & Jia, Peng, 2022. "Container port drayage operations and management: Past and future," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    18. Li, Ming & Shao, Saijun & Li, Yang & Zhang, Hua & Zhang, Nianwu & He, Yandong, 2022. "A Physical Internet (PI) based inland container transportation problem with selective non-containerized shipping requests," International Journal of Production Economics, Elsevier, vol. 245(C).
    19. Wang, Naiyu & Meng, Qiang & Zhang, Canrong, 2023. "A branch-price-and-cut algorithm for the local container drayage problem with controllable vehicle interference," Transportation Research Part B: Methodological, Elsevier, vol. 178(C).
    20. Xue, Zhaojie & Lin, Hui & You, Jintao, 2021. "Local container drayage problem with truck platooning mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    21. Yujian Song & Yuting Zhang & Wanli Wang & Ming Xue, 2023. "A Branch and Price Algorithm for the Drop-and-Pickup Container Drayage Problem with Empty Container Constraints," Sustainability, MDPI, vol. 15(7), pages 1-28, March.
    22. Fan, Tijun & Pan, Qianlan & Pan, Fei & Zhou, Wei & Chen, Jingyi, 2020. "Intelligent logistics integration of internal and external transportation with separation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).

    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. Bustos-Coral, Daniel & Costa, Alysson M., 2022. "Drayage routing with heterogeneous fleet, compatibility constraints, and truck load configurations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).
    2. Escudero-Santana, Alejandro & Muñuzuri, Jesús & Cortés, Pablo & Onieva, Luis, 2021. "The one container drayage problem with soft time windows," Research in Transportation Economics, Elsevier, vol. 90(C).
    3. Benantar, A. & Abourraja, M.N. & Boukachour, J. & Boudebous, D. & Duvallet, C., 2020. "On the integration of container availability constraints into daily drayage operations arising in France: Modelling and optimization," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).
    4. Yujian Song & Yuting Zhang & Wanli Wang & Ming Xue, 2023. "A Branch and Price Algorithm for the Drop-and-Pickup Container Drayage Problem with Empty Container Constraints," Sustainability, MDPI, vol. 15(7), pages 1-28, March.
    5. Nossack, Jenny & Pesch, Erwin, 2013. "A truck scheduling problem arising in intermodal container transportation," European Journal of Operational Research, Elsevier, vol. 230(3), pages 666-680.
    6. Chen, Rui & Meng, Qiang & Jia, Peng, 2022. "Container port drayage operations and management: Past and future," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    7. Fan, Tijun & Pan, Qianlan & Pan, Fei & Zhou, Wei & Chen, Jingyi, 2020. "Intelligent logistics integration of internal and external transportation with separation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    8. Zhang, Ruiyou & Zhao, Haishu & Moon, Ilkyeong, 2018. "Range-based truck-state transition modeling method for foldable container drayage services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 225-239.
    9. Chen, Rui & Chen, Shukai & Cui, Haipeng & Meng, Qiang, 2021. "The container drayage problem for heterogeneous trucks with multiple loads: A revisit," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    10. Zhang, Ruiyou & Lu, Jye-Chyi & Wang, Dingwei, 2014. "Container drayage problem with flexible orders and its near real-time solution strategies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 235-251.
    11. Samaneh Shiri & Nathan Huynh & Daniel Smith & Frank Harder, 2022. "Impact of Second-Tier Container Port Facilities on Drayage Operation," Logistics, MDPI, vol. 6(4), pages 1-21, September.
    12. Wang, Naiyu & Meng, Qiang & Zhang, Canrong, 2023. "A branch-price-and-cut algorithm for the local container drayage problem with controllable vehicle interference," Transportation Research Part B: Methodological, Elsevier, vol. 178(C).
    13. Hajem A. Daham & Xinan Yang & Michaela K. Warnes, 2017. "An efficient mixed integer programming model for pairing containers in inland transportation based on the assignment of orders," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(6), pages 678-694, June.
    14. Jia, Shuai & Cui, Haipeng & Chen, Rui & Meng, Qiang, 2022. "Dynamic container drayage with uncertain request arrival times and service time windows," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 237-258.
    15. Lai, Michela & Crainic, Teodor Gabriel & Di Francesco, Massimo & Zuddas, Paola, 2013. "An heuristic search for the routing of heterogeneous trucks with single and double container loads," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 56(C), pages 108-118.
    16. Chen, Rui & Jia, Shuai & Meng, Qiang, 2023. "Dynamic container drayage booking and routing decision support approach for E-commerce platforms," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 177(C).
    17. Xue, Ning & Bai, Ruibin & Qu, Rong & Aickelin, Uwe, 2021. "A hybrid pricing and cutting approach for the multi-shift full truckload vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 292(2), pages 500-514.
    18. Xue, Zhaojie & Zhang, Canrong & Lin, Wei-Hua & Miao, Lixin & Yang, Peng, 2014. "A tabu search heuristic for the local container drayage problem under a new operation mode," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 62(C), pages 136-150.
    19. Xuhui Yu & Yin Feng & Cong He & Chang Liu, 2024. "Modeling and Optimization of Container Drayage Problem with Empty Container Constraints across Multiple Inland Depots," Sustainability, MDPI, vol. 16(12), pages 1-32, June.
    20. Caballini, Claudia & Sacone, Simona & Saeednia, Mahnam, 2016. "Cooperation among truck carriers in seaport containerized transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 38-56.

    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:transe:v:106:y:2017:i:c:p:231-254. 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/wps/find/journaldescription.cws_home/600244/description#description .

    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.