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Scheduling crossover cranes at container terminals during seaside peak times

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Abstract

This paper deals with crane scheduling in a block of a container terminal equipped with two crossover cranes. We concentrate on the situation when all requests in this block refer to the seaside. This seaside peak time occurs when a container ship is berthed and has to be served as quickly as possible because berthing time is a major cost driver for both, the shipping company and the port operator. In this case, the two cranes highly interfere. We formulate this problem as a MIP, prove its \(\mathcal {NP}\)-hardness and introduce a lower bound. Further, we provide several heuristic solution procedures based on priority rules. A comparison of all procedures concludes this paper and gives insights on how to solve this problem in practice.

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References

  • Asariotis, R., Benamara, H., Hoffmann, J., Premti, A., Sanchez, R., Valentine, V., Wilmsmeier, G., Youssef, F.: Review of maritime transport, 2015. Technical report (2015)

  • Bierwirth, C., Meisel, F.: A survey of berth allocation and quay crane scheduling problems in container terminals. Eur. J. Oper. Res. 202(3), 615–627 (2010)

    Article  MathSciNet  Google Scholar 

  • 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  MathSciNet  Google Scholar 

  • Bish, E.K.: A multiple-crane-constrained scheduling problem in a container terminal. Eur. J. Oper. Res. 144(1), 83–107 (2003)

    Article  MathSciNet  Google Scholar 

  • Bish, E.K., Chen, F.Y., Leong, Y.T., Nelson, B.L., Ng, J.W.C., Simchi-Levy, D.: Dispatching vehicles in a mega container terminal. OR Spectr. 27, 491–506 (2005)

    Article  Google Scholar 

  • Bish, E.K., Leong, T.-Y., Li, C.-L., Ng, J.W., Simchi-Levi, D.: Analysis of a new vehicle scheduling and location problem. Nav. Res. Logist. (NRL) 48(5), 363–385 (2001)

    Article  MathSciNet  Google Scholar 

  • Boysen, N., Briskorn, D., Meisel, F.: A generalized classification scheme for crane scheduling with interference. Eur. J. Oper. Res. 258(1), 343–357 (2017)

    Article  MathSciNet  Google Scholar 

  • Briskorn, D., Angeloudis, P.: Scheduling co-operating stacking cranes with predetermined container sequences. Discrete Appl. Math. 201, 70–85 (2015)

    Article  MathSciNet  Google Scholar 

  • Briskorn, D., Jaehn, F., Wiehl, A.: A test suite for scheduling algorithms for cranes in transshipment terminals (Submitted) (2017)

  • Briskorn, D., Zey, L.: Scheduling triple crossover-cranes with predetermined container sequences (Submitted) (2017)

  • Cao, Z., Lee, D.-H., Meng, Q.: Deployment strategies of double-rail-mounted gantry crane systems for loading outbound containers in container terminals. Int. J. Prod. Econ. 115, 221–228 (2008)

    Article  Google Scholar 

  • Cheung, R.K., Li, C.-L., Lin, W.: Interblock crane deployment in container terminals. Transp. Sci. 36(1), 79–93 (2002)

    Article  Google Scholar 

  • Dorndorf, U., Schneider, F.: Scheduling automated triple cross-over stacking cranes in a container yard. OR Spectr. 32, 617–632 (2010)

    Article  Google Scholar 

  • Ehleiter, A., Jaehn, F.: Housekeeping: foresightful container repositioning. Int. J. Prod. Econ. 179, 203–211 (2016)

    Article  Google Scholar 

  • Garey, M.T., Johnson, D.S.: Computers and Intractability-A Guide to the Theory of NP-Completeness. Freeman&Co, San Francisco (1979)

    MATH  Google Scholar 

  • Gharehgozli, A.H., Laporte, G., Yu, Y., de Koster, R.: Scheduling twin yard cranes in a container block. Transp. Sci. (2014)

  • Gharehgozli, A.H., Vernooij, F.G., Zaerpour, N.: A simulation study of the performance of twin automated stacking cranes at a seaport container terminal. Eur. J. Oper. Res. 261(1), 108–128 (2017)

    Article  Google Scholar 

  • Goodchild, A.V., Daganzo, C.F.: Double-cycling strategies for container ships and their effect on ship loading and unloading operations. Transp. Sci. 40(4), 473–483 (2006)

    Article  Google Scholar 

  • HHLA: Hamburger Hafen und Logistik AG (2014). http://www.hhla.de/

  • Jaehn, F., Kress, D.: Scheduling cooperative gantry cranes with seaside and landside jobs. Discrete Appl. Math. 242, 53–68 (2018). https://doi.org/10.1016/j.dam.2017.06.015

    Article  MathSciNet  MATH  Google Scholar 

  • Kang, J., Oh, M.-S., Ahn, E.Y., Ryu, K.R., Kim, K.H.: Planning for intra-block remarshalling in a container terminal. In: Advances in Applied Artificial Intelligence, pp. 1211–1220. Springer, New York (2006)

    Chapter  Google Scholar 

  • Kim, K.H., Kim, K.Y.: An optimal routing algorithm for a transfer crane in port container terminals. Transp. Sci. 33, 17–33 (1999)

    Article  Google Scholar 

  • Kim, K.Y., Kim, K.H.: Heuristic algorithms for routing yard-side equipment for minimizing loading times in container terminals. Nav. Res. Logist. (NRL) 50(5), 498–514 (2003)

    Article  MathSciNet  Google Scholar 

  • Klaws, J., Stahlbock, R., Voß, S.: Container terminal yard operations—simulation of a side-loaded container block served by triple rail mounted gantry cranes. In: Computational Logistics, pp. 243–255. Springer, New York (2011)

    Google Scholar 

  • Lee, D.-H., Cao, Z., Meng, Q.: Scheduling of two-transtainer systems for loading outbound containers in port container terminals with simulated annealing algorithm. Int. J. Prod. Econ. 107, 115–124 (2007)

    Article  Google Scholar 

  • Lee, Y., Hsu, N.-Y.: An optimization model for the container pre-marshalling problem. Comput. Oper. Res. 34(11), 3295–3313 (2007)

    Article  Google Scholar 

  • Meersmans, P.J.M., Wagelmans, A.P.M.: Effective algorithms for integrated scheduling of handling equipment at automated container terminals. Technical Report EI 2001-19, Econometric Institute, Erasmus University Rotterdam (2001)

  • Narasimhan, A., Palekar, U.S.: Analysis and algorithms for the transtainer routing problem in container port operations. Transp. Sci. 36, 63–78 (2002)

    Article  Google Scholar 

  • Ng, W.C.: Crane scheduling in container yards with inter-crane interference. Eur. J. Oper. Res. 164, 64–78 (2005)

    Article  MathSciNet  Google Scholar 

  • Ng, W.C., Mak, K.L.: An effective heuristic for scheduling a yard crane to handle jobs with different ready times. Eng. Optim. 37, 867–877 (2005a)

    Article  MathSciNet  Google Scholar 

  • Ng, W.C., Mak, K.L.: Yard crane scheduling in container terminals. Appl. Math. Model. 29, 263–276 (2005b)

    Article  Google Scholar 

  • Park, T., Choe, R., Ok, S.M., Ryu, K.R.: Real-time scheduling for twin RMGs in an automated container yard. OR Spectr. 32(3), 593–615 (2010)

    Article  Google Scholar 

  • Saanen, Y., van Valkengoed, M.: Comparison of three automated stacking alternatives by means of simulation. In: Kuhl, M.E., Steiger, N.M., Armstrong, F. B., Joines, J.A. (eds.) Proceedings of the winter simulation conference, pp. 1567–1576 (2005)

  • Speer, U., Fischer, K.: Scheduling of different automated yard crane systems at container terminals. Transp. Sci. 51(1), 305–324 (2016)

    Article  Google Scholar 

  • Speer, U., John, G., Fischer, K.: Scheduling yard cranes considering crane interference. In: Computational Logistics, pp. 321–340. Springer, New York (2011)

    Google Scholar 

  • Stahlbock, R., Voß, S.: Efficiency considerations for sequencing and scheduling of double-rail-mounted gantry cranes at maritime container terminals. Int. J. Ship. Transp. Logist. 2(1), 95–123 (2010)

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  • Steenken, D., Voß, S., Stahlbock, R.: Container terminal operations and operations research—a classification and literature review. OR Spectr. 26, 3–49 (2004)

    Article  Google Scholar 

  • Vis, I.F.A.: Survey of research in the design and control of automated guided vehicle systems. Eur. J. Oper. Res. 170, 677–709 (2006)

    Article  Google Scholar 

  • Vis, I.F.A., Carlo, H.J.: Sequencing two cooperating automated stacking cranes in a container terminal. Transp. Sci. 44, 169–182 (2010)

    Article  Google Scholar 

  • Zhang, C., Liu, J., Wan, Y.-W., Murty, K.G., Linn, R.J.: Storage space allocation in container terminals. Transp. Res. B Methodol. 37(10), 883–903 (2003)

    Article  Google Scholar 

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Correspondence to Florian Jaehn.

Additional information

This work has been supported by the German Science Foundation (DFG) through the grant “Scheduling mechanisms for rail mounted gantries with respect to crane interdependencies” (JA 2311/2-1).

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Ehleiter, A., Jaehn, F. Scheduling crossover cranes at container terminals during seaside peak times. J Heuristics 24, 899–932 (2018). https://doi.org/10.1007/s10732-018-9380-2

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  • DOI: https://doi.org/10.1007/s10732-018-9380-2

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