On the Optimization of Mooring Lines for Floating Structures Considering the Role of Sinker Mass
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Abstract
Conventional mooring line design for floating structures often relies on empirical or trial-and-error methods, leading to inefficient material use and increased costs. This study proposes a multi-objective optimization framework using the Multi-Objective Particle Swarm Optimization (MOPSO) algorithm to design a single mooring line, with a novel emphasis on the sinker’s mass. The approach simultaneously minimizes the mooring line weight and sinker mass while satisfying strength, stability, and seabed contact constraints. The resulting Pareto front reveals a clear trade-off between these objectives, with an optimal "knee point" offering a balanced design. Compared to empirical designs, the optimized configuration reduces mooring line weight by 15.9% and sinker mass by 22.3%, demonstrating significant material and cost savings. This method provides a systematic and efficient tool for enhancing the design of mooring systems in offshore engineering applications.
Keywords
Mooring line, floating structure, calculation method, multi-objective particle swarm optimization, sinker, trial and error method
Article Details
References
[2] H. O. Berteaux, Buoy Engineering, John Wiley and Sons, 1976.
[3] K.-T. Ma et al., “Chapter 5 - Mooring analysis,” Mooring System Engineering for Offshore Structures, pp. 85–114, Gulf Professional Publishing, 2019.
[4] M. Shafieefar and A. Rezvani, “Mooring optimization of floating platforms using a genetic algorithm,” Ocean Engineering, vol. 34, no. 10, pp. 1413–1421, 2007.
[5] S. Ryu et al., “Mooring cost optimization via harmony search,” Proc. of 26th Int. Conf. Offshore Mechanics and Arctic Engineering (OMAE2007), San Diego, CA, USA, 2007.
[6] B.d.F. Monteiro et al., “Mooring optimization of offshore floating systems using an improved particle swarm optimization method,” Proc. of 32nd Int. Conf. Ocean, Offshore and Arctic Engineering (OMAE2013), Nantes, France, 2013.
[7] B.d.F. Monteiro et al., “Optimization of mooring systems in the context of an integrated design methodology,” Marine Structures, vol. 75, pp. 102874, 2021.
[8] O. A. Montasir, A. Yenduri, and V. J. Kurian, “Mooring system optimisation and effect of different line design variables on motions of truss spar platforms in intact and damaged conditions,” China Ocean Engineering, vol. 33, no. 4, pp. 385–397, 2019.
[9] J. Moore, R. Chapman, and G. Dozier, “Multiobjective particle swarm optimization,” Proc. 38th Annu. ACM Southeast Conf., Clemson, SC, USA, pp. 51–56, 2000.
[10] C. A. C. Coello, “An introduction to multi-objective particle swarm optimizers,” Soft Computing in Industrial Applications, (A. Gaspar-Cunha et al., Eds), pp. 3–12, Springer, 2011.
[11] V. Martínez-Cagigal. “Multi-Objective Particle Swarm Optimization (MOPSO),” MATLAB Central File Exchange. https://www.mathworks.com/matlabcentral/fileexchange/62074-multi-objective-particle-swarm-optimization-mopso (accessed on Dec. 09 2025).
[12] P. Q. Hoan and D. D. Thanh, “Study on the calculation of mooring line with clump weights for a floating structure using nonlinear analysis in SAP2000,” TNU Journal of Science and Technology, vol. 230, no. 10, pp. 392–398, 2025.
[13] N. T. Khue, Aids to Navigation, Vietnam Maritime Publisher, 2024 (in Vietnamese).