IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v155y2022icp499-525.html
   My bibliography  Save this article

Schedule reliability in liner shipping timetable design: A convex programming approach

Author

Listed:
  • Zhang, Abraham
  • Zheng, Zhichao
  • Teo, Chung-Piaw

Abstract

Container liner shipping is the primary mode of moving manufactured products across continents. Partly due to inherent uncertainties at sea and ports, the liner shipping industry has long had a notorious reputation of schedule delays and unreliable on-time performance. This paper formulates a new approach to incorporate schedule reliability targets in liner shipping timetable design, to balance bunker consumption, time taken for the voyage, and schedule delays. We first model a surrogate problem using a copositive program through a moment decomposition approach and solve it as a convex semidefinite programming relaxation. We next incorporate schedule reliability targets implicitly by exploiting the optimality condition of this surrogate model.

Suggested Citation

  • Zhang, Abraham & Zheng, Zhichao & Teo, Chung-Piaw, 2022. "Schedule reliability in liner shipping timetable design: A convex programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 499-525.
    • Handle: RePEc:eee:transb:v:155:y:2022:i:c:p:499-525
    DOI: 10.1016/j.trb.2021.11.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191261521002149
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.trb.2021.11.010?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. Qingxia Kong & Chung-Yee Lee & Chung-Piaw Teo & Zhichao Zheng, 2013. "Scheduling Arrivals to a Stochastic Service Delivery System Using Copositive Cones," Operations Research, INFORMS, vol. 61(3), pages 711-726, June.
    2. Theo Notteboom & Jean-Paul Rodrigue, 2008. "Containerisation, Box Logistics and Global Supply Chains: The Integration of Ports and Liner Shipping Networks," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 10(1-2), pages 152-174, March.
    3. Du, Yuquan & Chen, Qiushuang & Quan, Xiongwen & Long, Lei & Fung, Richard Y.K., 2011. "Berth allocation considering fuel consumption and vessel emissions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1021-1037.
    4. Aydin, N. & Lee, H. & Mansouri, S.A., 2017. "Speed optimization and bunkering in liner shipping in the presence of uncertain service times and time windows at ports," European Journal of Operational Research, Elsevier, vol. 259(1), pages 143-154.
    5. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    6. Ho-Yin Mak & Ying Rong & Jiawei Zhang, 2015. "Appointment Scheduling with Limited Distributional Information," Management Science, INFORMS, vol. 61(2), pages 316-334, February.
    7. Wang, Shuaian & Meng, Qiang, 2012. "Liner ship route schedule design with sea contingency time and port time uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 615-633.
    8. Li, Xiaobo & Natarajan, Karthik & Teo, Chung-Piaw & Zheng, Zhichao, 2014. "Distributionally robust mixed integer linear programs: Persistency models with applications," European Journal of Operational Research, Elsevier, vol. 233(3), pages 459-473.
    9. Damla Ahipaşaoğlu, Selin & Arıkan, Uğur & Natarajan, Karthik, 2016. "On the flexibility of using marginal distribution choice models in traffic equilibrium," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 130-158.
    10. Song, Dong-Ping & Li, Dong & Drake, Paul, 2015. "Multi-objective optimization for planning liner shipping service with uncertain port times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 1-22.
    11. Michael Maloni & Jomon Aliyas Paul & David M Gligor, 2013. "Slow steaming impacts on ocean carriers and shippers," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 15(2), pages 151-171, June.
    12. Li, Chen & Qi, Xiangtong & Song, Dongping, 2016. "Real-time schedule recovery in liner shipping service with regular uncertainties and disruption events," Transportation Research Part B: Methodological, Elsevier, vol. 93(PB), pages 762-788.
    13. Abraham Zhang & Jasmine Siu Lee Lam, 2015. "Daily Maersk's impacts on shipper's supply chain inventories and implications for the liner shipping industry," Maritime Policy & Management, Taylor & Francis Journals, vol. 42(3), pages 246-262, April.
    14. Jasmine Siu Lee Lam & Eddy van de Voorde, 2011. "Scenario analysis for supply chain integration in container shipping," Maritime Policy & Management, Taylor & Francis Journals, vol. 38(7), pages 705-725, April.
    15. Sarah Yini Gao & David Simchi-Levi & Chung-Piaw Teo & Zhenzhen Yan, 2019. "Disruption Risk Mitigation in Supply Chains: The Risk Exposure Index Revisited," Operations Research, INFORMS, vol. 67(3), pages 831-852, May.
    16. Wang, Shuaian & Meng, Qiang, 2012. "Sailing speed optimization for container ships in a liner shipping network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 701-714.
    17. Jin Qi, 2017. "Mitigating Delays and Unfairness in Appointment Systems," Management Science, INFORMS, vol. 63(2), pages 566-583, February.
    18. Richa Agarwal & Özlem Ergun, 2008. "Ship Scheduling and Network Design for Cargo Routing in Liner Shipping," Transportation Science, INFORMS, vol. 42(2), pages 175-196, May.
    19. Wang, Shuaian & Meng, Qiang, 2012. "Robust schedule design for liner shipping services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1093-1106.
    20. Karthik Natarajan & Chung Piaw Teo & Zhichao Zheng, 2011. "Mixed 0-1 Linear Programs Under Objective Uncertainty: A Completely Positive Representation," Operations Research, INFORMS, vol. 59(3), pages 713-728, June.
    21. Wang, Shuaian & Meng, Qiang & Liu, Zhiyuan, 2013. "Bunker consumption optimization methods in shipping: A critical review and extensions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 53(C), pages 49-62.
    22. Qi, Xiangtong & Song, Dong-Ping, 2012. "Minimizing fuel emissions by optimizing vessel schedules in liner shipping with uncertain port times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(4), pages 863-880.
    23. Lee, Chung-Yee & Lee, Hau L. & Zhang, Jiheng, 2015. "The impact of slow ocean steaming on delivery reliability and fuel consumption," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 176-190.
    24. Mulder, Judith & Dekker, Rommert, 2019. "Designing robust liner shipping schedules: Optimizing recovery actions and buffer times," European Journal of Operational Research, Elsevier, vol. 272(1), pages 132-146.
    25. Theo E Notteboom, 2006. "The Time Factor in Liner Shipping Services," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 8(1), pages 19-39, March.
    26. K Fagerholt & G Laporte & I Norstad, 2010. "Reducing fuel emissions by optimizing speed on shipping routes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(3), pages 523-529, March.
    27. D Ronen, 2011. "The effect of oil price on containership speed and fleet size," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 211-216, January.
    28. Bert Vernimmen & Wout Dullaert & Steve Engelen, 2007. "Schedule Unreliability in Liner Shipping: Origins and Consequences for the Hinterland Supply Chain," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 9(3), pages 193-213, September.
    29. Richa Agarwal & Özlem Ergun, 2010. "Network Design and Allocation Mechanisms for Carrier Alliances in Liner Shipping," Operations Research, INFORMS, vol. 58(6), pages 1726-1742, December.
    30. Vinit Kumar Mishra & Karthik Natarajan & Dhanesh Padmanabhan & Chung-Piaw Teo & Xiaobo Li, 2014. "On Theoretical and Empirical Aspects of Marginal Distribution Choice Models," Management Science, INFORMS, vol. 60(6), pages 1511-1531, June.
    31. Judith Mulder & Willem van Jaarsveld & Rommert Dekker, 2019. "Simultaneous Optimization of Speed and Buffer Times with an Application to Liner Shipping," Transportation Science, INFORMS, vol. 53(2), pages 365-382, March.
    32. Notteboom, Theo E. & Vernimmen, Bert, 2009. "The effect of high fuel costs on liner service configuration in container shipping," Journal of Transport Geography, Elsevier, vol. 17(5), pages 325-337.
    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. Qinghe Sun & Li Chen & Mabel C. Chou & Qiang Meng, 2023. "Mitigating the financial risk behind emission cap compliance: A case in maritime transportation," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 283-300, January.
    2. Zhao, Shuaiqi & Yang, Hualong & Zheng, Jianfeng & Li, Dechang, 2024. "A two-step approach for deploying heterogeneous vessels and designing reliable schedule in liner shipping services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 182(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. Zhao, Shuaiqi & Yang, Hualong & Zheng, Jianfeng & Li, Dechang, 2024. "A two-step approach for deploying heterogeneous vessels and designing reliable schedule in liner shipping services," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 182(C).
    2. Lee, Chung-Yee & Song, Dong-Ping, 2017. "Ocean container transport in global supply chains: Overview and research opportunities," Transportation Research Part B: Methodological, Elsevier, vol. 95(C), pages 442-474.
    3. Asghari, Mohammad & Jaber, Mohamad Y. & Mirzapour Al-e-hashem, S.M.J., 2023. "Coordinating vessel recovery actions: Analysis of disruption management in a liner shipping service," European Journal of Operational Research, Elsevier, vol. 307(2), pages 627-644.
    4. Song, Dong-Ping & Li, Dong & Drake, Paul, 2015. "Multi-objective optimization for planning liner shipping service with uncertain port times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 84(C), pages 1-22.
    5. Olumide F. Abioye & Maxim A. Dulebenets & Junayed Pasha & Masoud Kavoosi, 2019. "A Vessel Schedule Recovery Problem at the Liner Shipping Route with Emission Control Areas," Energies, MDPI, vol. 12(12), pages 1-28, June.
    6. Hamed Hasheminia & Changmin Jiang, 2017. "Strategic trade-off between vessel delay and schedule recovery: an empirical analysis of container liner shipping," Maritime Policy & Management, Taylor & Francis Journals, vol. 44(4), pages 458-473, May.
    7. Aydin, N. & Lee, H. & Mansouri, S.A., 2017. "Speed optimization and bunkering in liner shipping in the presence of uncertain service times and time windows at ports," European Journal of Operational Research, Elsevier, vol. 259(1), pages 143-154.
    8. Lee, Chung-Yee & Lee, Hau L. & Zhang, Jiheng, 2015. "The impact of slow ocean steaming on delivery reliability and fuel consumption," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 176-190.
    9. Dulebenets, Maxim A., 2018. "A comprehensive multi-objective optimization model for the vessel scheduling problem in liner shipping," International Journal of Production Economics, Elsevier, vol. 196(C), pages 293-318.
    10. Ksciuk, Jana & Kuhlemann, Stefan & Tierney, Kevin & Koberstein, Achim, 2023. "Uncertainty in maritime ship routing and scheduling: A Literature review," European Journal of Operational Research, Elsevier, vol. 308(2), pages 499-524.
    11. Li, Chen & Qi, Xiangtong & Song, Dongping, 2016. "Real-time schedule recovery in liner shipping service with regular uncertainties and disruption events," Transportation Research Part B: Methodological, Elsevier, vol. 93(PB), pages 762-788.
    12. Xin Wen & Qiong Chen & Yu-Qi Yin & Yui-yip Lau, 2023. "Green Vessel Scheduling with Weather Impact and Emission Control Area Consideration," Mathematics, MDPI, vol. 11(24), pages 1-25, December.
    13. Maxim A. Dulebenets & Junayed Pasha & Olumide F. Abioye & Masoud Kavoosi, 2021. "Vessel scheduling in liner shipping: a critical literature review and future research needs," Flexible Services and Manufacturing Journal, Springer, vol. 33(1), pages 43-106, March.
    14. Qiang Meng & Shuaian Wang & Henrik Andersson & Kristian Thun, 2014. "Containership Routing and Scheduling in Liner Shipping: Overview and Future Research Directions," Transportation Science, INFORMS, vol. 48(2), pages 265-280, May.
    15. Wang, Shuaian & Meng, Qiang, 2015. "Robust bunker management for liner shipping networks," European Journal of Operational Research, Elsevier, vol. 243(3), pages 789-797.
    16. Meng, Qiang & Du, Yuquan & Wang, Yadong, 2016. "Shipping log data based container ship fuel efficiency modeling," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 207-229.
    17. Akyüz, M. Hakan & Lee, Chung-Yee, 2016. "Service type assignment and container routing with transit time constraints and empty container repositioning for liner shipping service networks," Transportation Research Part B: Methodological, Elsevier, vol. 88(C), pages 46-71.
    18. Shuaian Wang & Dan Zhuge & Lu Zhen & Chung-Yee Lee, 2021. "Liner Shipping Service Planning Under Sulfur Emission Regulations," Transportation Science, INFORMS, vol. 55(2), pages 491-509, March.
    19. Wang, Shuaian & Meng, Qiang & Liu, Zhiyuan, 2013. "Bunker consumption optimization methods in shipping: A critical review and extensions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 53(C), pages 49-62.
    20. Chen Li & Xiangtong Qi & Chung-Yee Lee, 2015. "Disruption Recovery for a Vessel in Liner Shipping," Transportation Science, INFORMS, vol. 49(4), pages 900-921, November.

    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:transb:v:155:y:2022:i:c:p:499-525. 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/548/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.