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A Linear Time Algorithm for Optimal Quay Crane Scheduling

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Computational Logistics (ICCL 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13557))

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Abstract

This paper studies the Quay Crane Scheduling Problem (QCSP). The QCSP determines how a number of quay cranes should be scheduled in order to service a vessel with minimum makespan. Previous work considers the QCSP to be a combinatorially hard problem. For that reason, the focus has been on developing efficient heuristics. Our study shows, however, that the QCSP is tractable in the realistic setting, where quay cranes can share the workload of bays. We introduce a novel linear time algorithm that solves the QCSP and prove its correctness.

This research is sponsored in part by the Danish Maritime Fund under grant no. 2021-069.

M. O. Herup and G. C. W. Thiesgaard—These authors contributed equally to this work.

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Notes

  1. 1.

    A hold is the part of a bay, which is under deck. In this context, a hold can be considered equivalent to a bay.

References

  1. Bierwirth, C., Meisel, F.: A fast heuristic for quay crane scheduling with interference constraints. J. Sched. 12(4), 345–360 (2009)

    Article  Google Scholar 

  2. Bierwirth, C., Meisel, F.: A follow-up survey of berth allocation and quay crane scheduling problems in container terminals. Eur. J. Oper. Res. 244(3), 675–689 (2015)

    Article  Google Scholar 

  3. Daganzo, C.F.: The crane scheduling problem. Transp. Res. Part B: Methodol. 23(3), 159–175 (1989)

    Article  Google Scholar 

  4. Fan, L., Low, M.Y.H., Ying, H.S., Jing, H.W., Min, Z., Aye, W.C.: Stowage planning of large containership with tradeoff between crane workload balance and ship stability. In: World Congress on Engineering 2012, 4–6 July 2012, London, UK, vol. 2182, pp. 1537–1543. International Association of Engineers (2010)

    Google Scholar 

  5. Garey, M.R., Johnson, D.S.: Computers and Intractability, vol. 174. Freeman, San Francisco (1979)

    Google Scholar 

  6. Jensen, R.M., Pacino, D., Ajspur, M.L., Vesterdal, C.: Container Vessel Stowage Planning. Weilbach, Copenhagen (2018)

    Google Scholar 

  7. Kim, K.H., Park, Y.M.: A crane scheduling method for port container terminals. Eur. J. Oper. Res. 156(3), 752–768 (2004)

    Article  Google Scholar 

  8. Lee, D.H., Wang, H.Q., Miao, L.: Quay crane scheduling with non-interference constraints in port container terminals. Transp. Res. Part E: Logist. Transp. Rev. 44(1), 124–135 (2008)

    Article  Google Scholar 

  9. Moccia, L., Cordeau, J.F., Gaudioso, M., Laporte, G.: A branch-and-cut algorithm for the quay crane scheduling problem in a container terminal. Naval Res. Logist. (NRL) 53(1), 45–59 (2006)

    Article  Google Scholar 

  10. Psaraftis, H.N.: The future of maritime transport. In: Encyclopedia of Transportation. Elsevier (2020)

    Google Scholar 

  11. Sammarra, M., Cordeau, J.F., Laporte, G., Monaco, M.F.: A tabu search heuristic for the quay crane scheduling problem. J. Sched. 10(4), 327–336 (2007)

    Article  Google Scholar 

  12. Sirimanne, S.N., et al.: Review of maritime transport 2020. In: United Nations Conference on Trade and Development (2020)

    Google Scholar 

  13. Stahlbock, R., Voß, S.: Operations research at container terminals: a literature update. OR Spectr. 30(1), 1–52 (2008)

    Article  Google Scholar 

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Correspondence to Gustav Christian Wichmann Thiesgaard .

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Herup, M.O., Thiesgaard, G.C.W., van Twiller, J., Jensen, R.M. (2022). A Linear Time Algorithm for Optimal Quay Crane Scheduling. In: de Armas, J., Ramalhinho, H., Voß, S. (eds) Computational Logistics. ICCL 2022. Lecture Notes in Computer Science, vol 13557. Springer, Cham. https://doi.org/10.1007/978-3-031-16579-5_5

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  • DOI: https://doi.org/10.1007/978-3-031-16579-5_5

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  • Online ISBN: 978-3-031-16579-5

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