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Routing two stacking cranes with predetermined container sequences

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  • Dirk Briskorn

    (Bergische Universität Wuppertal)

Abstract

The scheduling of gantry cranes with respect to mutual interference has received considerable attention in recent years. We consider a subproblem which arises when each crane has a sequence of tasks to be assigned. The problem is concerned with resolving the interference between two cranes by determining which crane avoids the other in order to let it complete its next task first. We provide a fairly general problem framework accounting for different crane systems and various side constraints. We assume a cost function for each task that determines the cost of completing the task at a specific point in time. We then distinguish between the objectives to minimize both the total cost and the maximum cost among tasks. A general dynamic programming framework is provided which allows us to solve all problem versions in pseudo-polynomial time. Furthermore, we show that while the general problem aiming for minimum total cost is binary NP-hard, the general problem aiming for minimum maximum cost can be solved in polynomial time. Finally, we address two important special cases of the former, and we show that they can be solved in polynomial time as well.

Suggested Citation

  • Dirk Briskorn, 2021. "Routing two stacking cranes with predetermined container sequences," Journal of Scheduling, Springer, vol. 24(4), pages 367-380, August.
    • Handle: RePEc:spr:jsched:v:24:y:2021:i:4:d:10.1007_s10951-021-00689-4
    DOI: 10.1007/s10951-021-00689-4
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    References listed on IDEAS

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    1. Gharehgozli, Amir Hossein & Yu, Yugang & de Koster, René & Udding, Jan Tijmen, 2014. "An exact method for scheduling a yard crane," European Journal of Operational Research, Elsevier, vol. 235(2), pages 431-447.
    2. Kress, Dominik & Dornseifer, Jan & Jaehn, Florian, 2019. "An exact solution approach for scheduling cooperative gantry cranes," European Journal of Operational Research, Elsevier, vol. 273(1), pages 82-101.
    3. Ulf Speer & Kathrin Fischer, 2017. "Scheduling of Different Automated Yard Crane Systems at Container Terminals," Transportation Science, INFORMS, vol. 51(1), pages 305-324, February.
    4. Briskorn, Dirk & Emde, Simon & Boysen, Nils, 2016. "Cooperative twin-crane scheduling," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 109733, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    5. Carlo, Héctor J. & Vis, Iris F.A. & Roodbergen, Kees Jan, 2014. "Storage yard operations in container terminals: Literature overview, trends, and research directions," European Journal of Operational Research, Elsevier, vol. 235(2), pages 412-430.
    6. Jenny Nossack & Dirk Briskorn & Erwin Pesch, 2018. "Container Dispatching and Conflict-Free Yard Crane Routing in an Automated Container Terminal," Transportation Science, INFORMS, vol. 52(5), pages 1059-1076, October.
    7. Bierwirth, Christian & Meisel, Frank, 2010. "A survey of berth allocation and quay crane scheduling problems in container terminals," European Journal of Operational Research, Elsevier, vol. 202(3), pages 615-627, May.
    8. Dirk Briskorn & Lennart Zey, 2020. "Interference aware scheduling of triple-crossover-cranes," Journal of Scheduling, Springer, vol. 23(4), pages 465-485, August.
    9. Li, Wenkai & Goh, Mark & Wu, Yong & Petering, M.E.H. & de Souza, R. & Wu, Y.C., 2012. "A continuous time model for multiple yard crane scheduling with last minute job arrivals," International Journal of Production Economics, Elsevier, vol. 136(2), pages 332-343.
    10. Li, Wenkai & Wu, Yong & Petering, M.E.H. & Goh, Mark & Souza, Robert de, 2009. "Discrete time model and algorithms for container yard crane scheduling," European Journal of Operational Research, Elsevier, vol. 198(1), pages 165-172, October.
    11. Briskorn, Dirk & Emde, Simon & Boysen, Nils, 2016. "Cooperative twin-crane scheduling," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 80780, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. Carlo, Héctor J. & Vis, Iris F.A. & Roodbergen, Kees Jan, 2014. "Transport operations in container terminals: Literature overview, trends, research directions and classification scheme," European Journal of Operational Research, Elsevier, vol. 236(1), pages 1-13.
    13. Vis, Iris F. A. & de Koster, Rene, 2003. "Transshipment of containers at a container terminal: An overview," European Journal of Operational Research, Elsevier, vol. 147(1), pages 1-16, May.
    14. Boysen, Nils & Briskorn, Dirk & Meisel, Frank, 2017. "A generalized classification scheme for crane scheduling with interference," European Journal of Operational Research, Elsevier, vol. 258(1), pages 343-357.
    15. Bierwirth, Christian & Meisel, Frank, 2015. "A follow-up survey of berth allocation and quay crane scheduling problems in container terminals," European Journal of Operational Research, Elsevier, vol. 244(3), pages 675-689.
    16. Nils Boysen & Dirk Briskorn & Simon Emde, 2015. "A decomposition heuristic for the twin robots scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(1), pages 16-22, February.
    17. Amir Hossein Gharehgozli & Gilbert Laporte & Yugang Yu & René de Koster, 2015. "Scheduling Twin Yard Cranes in a Container Block," Transportation Science, INFORMS, vol. 49(3), pages 686-705, August.
    18. Amelie Eilken, 2019. "A decomposition-based approach to the scheduling of identical automated yard cranes at container terminals," Journal of Scheduling, Springer, vol. 22(5), pages 517-541, October.
    19. Nils Boysen & Malte Fliedner & Florian Jaehn & Erwin Pesch, 2013. "A Survey on Container Processing in Railway Yards," Transportation Science, INFORMS, vol. 47(3), pages 312-329, August.
    20. Dirk Briskorn & Lennart Zey, 2018. "Resolving interferences of triple‐crossover‐cranes by determining paths in networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(6-7), pages 477-498, September.
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    Cited by:

    1. Lennart Zey & Dirk Briskorn & Nils Boysen, 2022. "Twin-crane scheduling during seaside workload peaks with a dedicated handshake area," Journal of Scheduling, Springer, vol. 25(1), pages 3-34, February.

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