Abstract
Quay crane (QC) scheduling significantly affects the turn-around time of a container vessel, and it plays an important role in container terminal operation. Lee et al. (An approximation algorithm for quay crane scheduling with non-interference constraints in port container terminals, Presented at Tristan VI, Phuket, June 10–15, 2007) present a 2-approximation algorithm for QC scheduling problem with non-interference constraint. In this paper we revisit Lee’s heuristic for the scenario with small number of QCs, and prove that it is 4/3 and 5/3-approximation for the case with two QCs and the case with three QCs respectively.
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References
Ambrosino, D., Sciomachen, A.: Impact of yard organization on the master bay planning problem. Mariti. Econ. Logist. 5, 285–300 (2003)
Avriel, M., Penn, M.: Exact and approximate solutions of the container ship stowage problem. Comput. Ind. Eng. 25, 271–274 (1993)
Bierwirth, C., Meisel, F.: A survey of berth allocation and quay crane scheduling problems in container terminals. Eur. J. Op. Res. 202, 615–627 (2010)
Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman, San Francisco (1979)
Goodchild, A.V., Daganzo, C.F.: Double-cycling strategies for container ships and their effect on ship loading and unloading operations. Transp. Sci. 40, 473–483 (2006)
Imai, A., Sasaki, K., Nishimura, E., Papadimitriou, S.: Multi-objective simultaneous stowage and load planning for a container ship with container rehandle in yard stacks. Eur. J. Oper. Res. 171, 373–389 (2006)
Kang, J.G., Kim, Y.D.: Stowage planning in maritime container transportation. J. Oper. Res. Soc. 53, 415–426 (2002)
Lee, D.H., Chen, J.H.: An improved approach for quay crane scheduling with non-crossing constraints. Eng. Optim. 42, 1–15 (2010)
Lee D.H., Wang H.Q., Miao L.: An approximation algorithm for quay crane scheduling with non-interference constraints in port container terminals, Presented at Tristan VI, Phuket, June 10–15 (2007)
Lee, D.H., Wang, H.Q., Miao, L.: Quay crane scheduling with non-interference constraints in port container terminals. Transp. Res. Part E 44, 124–135 (2008)
Lim A., Rodrigues B., Xu Z.: Approximation Schemes for the Crane Scheduling Problem, Hagerup, T., Katajainen, J. (Eds.): SWAT2004, LNCS 3111, pp. 323–335 (2004)
Lim, A., Rodrigues, B., Xu, Z.: A m-parallel crane scheduling problem with a non-crossing constraint. Nav. Res. Logist. 54, 115–127 (2007)
Meisel, F., Wichmann, M.: Container sequencing for quay cranes with internal reshuffles. OR Spectr. 32, 569–591 (2010)
Stahlbock, R., Voß, S.: Operations research at container terminals: a literature update. OR Spectr. 30, 1–52 (2008)
UNCTAD, Review of maritime transport 2012, United Nations, New York and Geneva (2012)
Zhang, H., Kim, K.H.: Maximizing the number of dual-cycle operations of quay cranes in container terminals. Comput. Ind. Eng. 56, 979–992 (2009)
Acknowledgments
The author would like to thank Prof. Chung-Yee Lee and anonymous referees for their insightful comments. The work is supported by the National Natural Science Foundation of China (Grant No. 71101106, 71172189, 71090404/71090400), Program for New Century Excellent Talents in University (No. NCET-12-0824), DHU Distinguished Young Professor Program (No. A201305) and the Fundamental Research Funds for the Central Universities (No. 2232013D3-46).
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Liu, M., Zheng, F. & Li, J. Scheduling small number of quay cranes with non-interference constraint. Optim Lett 9, 403–412 (2015). https://doi.org/10.1007/s11590-014-0756-4
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DOI: https://doi.org/10.1007/s11590-014-0756-4