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Robust ship scheduling with multiple time windows

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  • Marielle Christiansen
  • Kjetil Fagerholt

Abstract

We present a ship scheduling problem concerned with the pickup and delivery of bulk cargoes within given time windows. As the ports are closed for service at night and during weekends, the wide time windows can be regarded as multiple time windows. Another issue is that the loading/discharging times of cargoes may take several days. This means that a ship will stay idle much of the time in port, and the total time at port will depend on the ship's arrival time. Ship scheduling is associated with uncertainty due to bad weather at sea and unpredictable service times in ports. Our objective is to make robust schedules that are less likely to result in ships staying idle in ports during the weekend, and impose penalty costs for arrivals at risky times (i.e., close to weekends). A set partitioning approach is proposed to solve the problem. The columns correspond to feasible ship schedules that are found a priori. They are generated taking the uncertainty and multiple time windows into account. The computational results show that we can increase the robustness of the schedules at the sacrifice of increased transportation costs. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 611–625, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10033

Suggested Citation

  • Marielle Christiansen & Kjetil Fagerholt, 2002. "Robust ship scheduling with multiple time windows," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(6), pages 611-625, September.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:6:p:611-625
    DOI: 10.1002/nav.10033
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    References listed on IDEAS

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    Cited by:

    1. Agostinho Agra & Marielle Christiansen & Alexandrino Delgado, 2013. "Mixed Integer Formulations for a Short Sea Fuel Oil Distribution Problem," Transportation Science, INFORMS, vol. 47(1), pages 108-124, February.
    2. Agostinho Agra & Marielle Christiansen & Lars Magnus Hvattum & Filipe Rodrigues, 2018. "Robust Optimization for a Maritime Inventory Routing Problem," Transportation Science, INFORMS, vol. 52(3), pages 509-525, June.
    3. Said El Noshokaty, 2021. "Shipping optimization systems (SOS) for tramp: stochastic cargo soft time windows," Journal of Shipping and Trade, Springer, vol. 6(1), pages 1-19, December.
    4. Brønmo, Geir & Nygreen, Bjørn & Lysgaard, Jens, 2006. "Column generation approaches to ship scheduling with flexible cargo sizes," CORAL Working Papers L-2006-07, University of Aarhus, Aarhus School of Business, Department of Business Studies.
    5. Xi Jiang & Haijun Mao & Yadong Wang & Hao Zhang, 2020. "Liner Shipping Schedule Design for Near-Sea Routes Considering Big Customers’ Preferences on Ship Arrival Time," Sustainability, MDPI, vol. 12(18), pages 1-20, September.
    6. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    7. Gustavo Diz & Luiz Felipe Scavarda & Roger Rocha & Silvio Hamacher, 2014. "Decision Support System for PETROBRAS Ship Scheduling," Interfaces, INFORMS, vol. 44(6), pages 555-566, December.
    8. Jasmine Lam, 2010. "An integrated approach for port selection, ship scheduling and financial analysis," Netnomics, Springer, vol. 11(1), pages 33-46, April.
    9. Kjetil Fagerholt *, 2004. "Designing optimal routes in a liner shipping problem," Maritime Policy & Management, Taylor & Francis Journals, vol. 31(4), pages 259-268, October.
    10. Sinan Gürel & Aysan Shadmand, 2019. "A heterogeneous fleet liner ship scheduling problem with port time uncertainty," 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. 27(4), pages 1153-1175, December.
    11. 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.

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