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Fast Slot Planning Using Constraint-Based Local Search

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IAENG Transactions on Engineering Technologies

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 186))

Abstract

Due to the economic importance of stowage planning, there recently has been an increasing interest in developing optimization algorithms for this problem. We have developed a 2-phase approach that in most cases can generate near optimal stowage plans within a few 100 s for large deep-sea vessels. This paper describes the constraint-based local search algorithm used in the second phase of this approach where individual containers are assigned to slots in each bay section. The algorithm can solve this problem in an average of 0.18 s per bay, corresponding to a runtime of 20 s for the entire vessel. The algorithm has been validated on a benchmark suite of 133 industrial instances for which \(86\,\%\) of the instances were solved to optimality.

This research is sponsored in part by the Danish Maritime Fund under the BAYSTOW project.

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References

  1. Ambrosino D, Anghinolfi D, Paolucci M, Sciomachen A (2010) An experimental comparison of different heuristics for the master bay plan problem. In: Proceedings of the 9th international symposium on experimental algorithms, pp 314–325

    Google Scholar 

  2. Ambrosino D, Sciomachen A (1998) A constraint satisfaction approach for master bay plans. Marit Eng Ports 36:175–184

    Google Scholar 

  3. Ambrosino D, Sciomachen A (2003) Impact of yard organization on the master bay planning problem. Marit Econ Logist 5:285–300

    Google Scholar 

  4. Avriel M, Penn M, Shpirer N, Witteboon S (1998) Stowage planning for container ships to reduce the number of shifts. Ann Oper Res 76:55–71

    Google Scholar 

  5. Aye WC, Low MYH, Ying HS, Jing HW, Min Z (2010) Visualization and simulation tool for automated stowage plan generation system. In: Proceedings of the international multiconference of engineers and computer scientists (IMECS 2010), vol 2. Hong Kong, pp 1013–1019

    Google Scholar 

  6. Botter RC, Brinati MA (1992) Stowage container planning: a model for getting an optimal solution. In: Proceedings of the 7th international conference on computer applications in the automation of shipyard operation and ship design, pp 217–229

    Google Scholar 

  7. Davidor Y, Avihail M (1996) A method for determining a vessel stowage plan. Patent Publication WO9735266

    Google Scholar 

  8. Delgado A, Jensen RM, Schulte C (2009) Generating optimal stowage plans for container vessel bays. In: Proceedings of the 15th international conference on principles and practice of constraint programming (CP-09), LNCS series, vol 5732, pp 6–20

    Google Scholar 

  9. Delgado A, Jensen RM, Janstrup K, Rose TH, Andersen KH (2011) A constraint programming model for fast optimal stowage of container vessel bays. Eur J Oper Res (accepted for publication)

    Google Scholar 

  10. Dubrovsky O, Levitin G, Michal P (2002) A genetic algorithm with a compact solution encoding for the container ship stowage problem. J Heuristics 8:585–599

    Google Scholar 

  11. Giemesch P, Jellinghaus A (2003) Optimization models for the containership stowage problem. In: Proceedings of the international conference of the german operations research society

    Google Scholar 

  12. Kang JG, Kim YD (2002) Stowage planning in maritime container transportation. J Oper Res Soc 53(4):415–426

    Google Scholar 

  13. Li F, Tian C, Cao R, Ding W (2008) An integer programming for container stowage problem. In: Proceedings of the international conference on computational science, Part I, LNCS, vol 5101. Springer, pp 853–862

    Google Scholar 

  14. Nugroho S (2004) Case-based stowage planning for container ships. In: The international logistics congress

    Google Scholar 

  15. Pacino D, Jensen RM (2012) Constraint-based local search for container stowage slot planning. In: Proceedings of the international multiconference of engineers and computer scientists (IMECS 2012). Hong Kong, pp 1467–1472

    Google Scholar 

  16. Pacino D, Delgado A, Jensen RM, Bebbington T (2011) Fast generation of near-optimal plans for eco-efficient stowage of large container vessels. In: ICCL, pp 286–301

    Google Scholar 

  17. Pacino D, Jensen RM (2010) A 3-phase randomized constraint based local search algorithm for stowing under deck locations of container vessel bays. Technical report TR-2010-123, IT-University of Copenhagen

    Google Scholar 

  18. Sciomachen A, Tanfani A (2003) The master bay plan problem: a solution method based on its connection to the three-dimensional bin packing problem. IMA J Manag Math 14:251–269

    Google Scholar 

  19. Van Hentenryck P, Michel L (2009) Constraint-based local search. The MIT Press, Cambridge

    Google Scholar 

  20. Wilson ID, Roach P (1999) Principles of combinatorial optimization applied to container-ship stowage planning. J Heuristics 5:403–418

    Google Scholar 

  21. Yoke M, Low H, Xiao X, Liu F, Huang SY, Hsu, WJ, Li Z (2009) An automated stowage planning system for large containerships. In: Proceedings of the 4th virtual international conference on intelligent production machines and systems

    Google Scholar 

  22. Zhang W-Y, Lin Y, Ji Z-S (2005) Model and algorithm for container ship stowage planning based on bin-packing problem. J Mar Sci Appl 4(3):1269

    Google Scholar 

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Correspondence to Dario Pacino .

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Pacino, D., Jensen, R.M. (2013). Fast Slot Planning Using Constraint-Based Local Search. In: Yang, GC., Ao, SI., Huang, X., Castillo, O. (eds) IAENG Transactions on Engineering Technologies. Lecture Notes in Electrical Engineering, vol 186. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5651-9_4

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  • DOI: https://doi.org/10.1007/978-94-007-5651-9_4

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  • Print ISBN: 978-94-007-5623-6

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