Abstract
Containers stowage optimization is a long-standing problem in the maritime industry. Since the problem was shown to be NP-hard, it is computationally challenging to obtain an optimal solution. We first review an efficient 2-phase block stowage scheme which can generate a feasible initial solution in just a few minutes. Since the algorithm relies heavily on checking whether any constraints will be violated by stowing a container at a specific location, we investigate the impact of changing the order in which the constraints are checked on the execution time of the algorithm. We evaluate seven different strategies for ordering the sequence in which the constraints are tested. Experiments based on real stowage instances show that, by strategically reordering the constraints test sequence, we can achieve 2 times speedup on the stowage planning algorithm on average, and up to 33 times speedup in certain instances.
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References
Singapore port marine notice, April 2013. http://www.mpa.gov.sg/sites/circulars_and_notices/pdfs/port_marine_notices/pn13-47.pdf (accessed March 25, 2015)
Ambrosino, D., Anghinolfi, D., Paolucci, M., Sciomachen, A.: A new three-step heuristic for the master bay plan problem. Maritime Economics and Logistics 11(1), 98–120 (2009)
Ambrosino, D., Anghinolfi, D., Paolucci, M., Sciomachen, A.: An experimental comparison of different heuristics for the master bay plan problem. In: Festa, P. (ed.) SEA 2010. LNCS, vol. 6049, pp. 314–325. Springer, Heidelberg (2010)
Ambrosino, D., Sciomachen, A., Tanfani, E.: Stowing a containership: the master bay plan problem. Transportation Research Part A: Policy and Practice 38(2), 81–99 (2004)
Ambrosino, D., Sciomachen, A., Tanfani, E.: A decomposition heuristics for the container ship stowage problem. Journal of Heuristics 12(3), 211–233 (2006)
Avriel, M., Penn, M., Shpirer, N.: Container ship stowage problem: complexity and connection to the coloring of circle graphs. Discrete Applied Mathematics 103(13), 271–279 (2000)
Berend, D., Brafman, R., Cohen, S., Shimony, S., Zucker, S.: Optimal ordering of independent tests with precedence constraints. Discrete Applied Mathematics 162, 115–127 (2014)
Chen, C., Lee, S., Shen, Q.: An analytical model for the container loading problem. European Journal of Operational Research 80(1), 68–76 (1995)
Cruz-Reyes, L., H., P.H., Melin, P., H., H.J.F., O., J.M.: Constructive algorithm for a benchmark in ship stowage planning. In: Castillo, O., Melin, P., Kacprzyk, J. (eds.) Recent Advances on Hybrid Intelligent Systems. SCI, vol. 451, pp. 393–408. Springer, Heidelberg (2013)
Garey, M.: Optimal task sequencing with precedence constraints. Discrete Mathematics 4(1), 37–56 (1973)
Liu, F., Low, M.Y.H., Hsu, W.J., Huang, S.Y., Zeng, M., Win, C.A.: Randomized algorithm with tabu search for multi-objective optimization of large containership stowage plans. In: Böse, J.W., Hu, H., Jahn, C., Shi, X., Stahlbock, R., Voß, S. (eds.) ICCL 2011. LNCS, vol. 6971, pp. 256–272. Springer, Heidelberg (2011)
Liu, F., Low, M.Y.H., Huang, S.Y., Hsu, W.-J., Zeng, M., Win, C.A.: Stowage planning of large containership with tradeoff between crane workload balance and ship stability. In: Proceedings of the International MultiConference of Engineers and Computer Scientists 2010 (IMECS 2010), vol. III (2010)
Low, M., Zeng, M., Hsu, W., Huang, S.Y., Liu, F., Win, C.A.: Improving safety and stability of large containerships in automated stowage planning. IEEE Systems Journal 5(1), 50–60 (2011)
Win, C.A., Low, M.Y.H., Huang, S.Y., Hsu, W.-J., Liu, F., Zeng, M.: An efficient block-based heuristic method for stowage planning of large containerships with crane split consideration. In: Proceedings of the International MultiConference of Engineers and Computer Scientists 2010 (IMECS 2010), vol. II (2010)
Xiao, X., Low, M.Y.H., Liu, F., Huang, S.Y., Hsu, W.J., Li, Z.: An efficient block-based heuristic method for stowage planning of large containerships with crane split consideration. In: The International Conference on Harbour, Maritime and Multimodel Logistics Modelling and Simulation (2009)
Zeng, M., Low, M., Hsu, W., Huang, S.Y., Liu, F., Win, C.A.: Automated stowage planning for large containerships with improved safety and stability. In: Proceedings of the 2010 Winter Simulation Conference (WSC), pp. 1976–1989, December 2010
Zeng, M., Low, M., Hsu, W.J., Huang, S.Y., Liu, F., Win, C.A.: Proceedings of the International MultiConference of Engineers and Computer Scientists 2010 (IMECS 2010), vol. III, March 2010
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Lee, Z.Q., Fan, R., Hsu, WJ. (2015). Optimizing Constraint Test Ordering for Efficient Automated Stowage Planning. In: Corman, F., Voß, S., Negenborn, R. (eds) Computational Logistics. ICCL 2015. Lecture Notes in Computer Science(), vol 9335. Springer, Cham. https://doi.org/10.1007/978-3-319-24264-4_24
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DOI: https://doi.org/10.1007/978-3-319-24264-4_24
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