References

  1. J. Ide, A. Schöbel, Robustness for uncertain multi-objective optimization: a survey and analysis of different concepts, OR Spectrum, 38 (2016) 235–271.
  2. A. Priftis, A. Papanikolaou, T. Plessas, Parametric design and multi-objective optimization of containerships, Ocean Eng., 156 (2018) 347–357.
  3. Z. Zhang, FM.A. Altalbawy, M. Al-Bahrani, Y. Riadi, Regretbased multi-objective optimization of carbon capture facility in CHP-based microgrid with carbon dioxide cycling, J. Cleaner Prod., 384 (2023) 135632, doi: 10.1016/j.jclepro.2022.135632.
  4. Z. Zhang, B. Wu, L. Wu, W. Liu, L. Liu, N. Li, L. Cui, Optimization of the bionic wing shape of tidal turbines using multi-island genetic algorithm, Machines, 11 (2023) 43, doi: 10.3390/machines11010043.
  5. Z. Zhang, W. Liu, X. Zheng, H. Liu, N. Li, Numerical simulation of hydrodynamic oscillation of side-by-side double-floating-system with a narrow gap in waves, Open Phys., 19 (2021) 188–207.
  6. Z. Zhang, X. Chen, H. Wu, W. Liu, L. Cui, Numerical study of a novel hybrid system with the Wavestar wave energy converter array and a SPIC semi-submersible floating platform, J. Cleaner Prod., 407 (2023) 137178, doi: 10.1016/j.jclepro.2023.137178.
  7. D. Bertsimas, D.B. Brown, C. Caramanis, Theory and applications of robust optimization, SIAM Rev., 53 (2011) 464–501.
  8. A. Ben-Tal, L. El Ghaoui, A. Nemirovski, Robust Optimization, Princeton University Press, Princeton, NJ, 2009.
  9. M. Fischetti, M. Monaci, Light Robustness, R.K. Ahuja, R.H. Möhring, C.D. Zaroliagis, Eds., Robust and Online Large- Scale Optimization, Lecture Notes in Computer Science, Vol. 5868, Springer, Berlin, Heidelberg, 2009, pp. 61–84. doi: 10.1007/978-3-642-05465-5_3
  10. M. Goerigk, A. Schöbel, Algorithm Engineering in Robust Optimization, L. Kliemann, P. Sanders, Eds., Algorithm Engineering, Lecture Notes in Computer Science, Vol. 9220, Springer, Berlin, Heidelberg, 2015.
  11. H. Wu, Z. Zhang, Effects of one mooring line failure on the behavior of a work ship, Proc. Inst. Civ. Eng. - Mar. Eng., 175 (2022) 65–77.
  12. H. Wu, Z. Zhang, W. Liu, Dynamic behavior analysis of an engineering ship with mooring line failure, Mar. Technol. Soc. J., 56 (2022) 20–34.
  13. H. Wu, L. Cui, W. Liu, Z. Zhang, J. Kang, Performance changes of an engineering ship with one mooring line failure, Eng. Fail. Anal., 137 (2022) 106233, doi: 10.1016/j.engfailanal.2022.106233.
  14. M. Diez, D. Peri, Robust optimization for ship conceptual design, Ocean Eng., 37 (2010) 966–977.
  15. K. Deb, H. Gupta, Introducing robustness in multi-objective optimization, Evol. Comput., 14 (2006) 463–494.
  16. H. Jafaryeganeh, M. Ventura, C. Guedes Soares, Robust-based optimization of the hull internal layout of oil tanker, Ocean Eng., 216 (2020) 107846, doi: 10.1016/j.oceaneng.2020.107846.
  17. A. Priftis, E. Boulougouris, O. Turan, G. Atzampos, Multiobjective robust early stage ship design optimization under uncertainty utilizing surrogate models, Ocean Eng., 197 (2020) 106850, doi: 10.1016/j.oceaneng.2019.106850.
  18. P. Sen, J.-B. Yang, Multiple Criteria Decision Support in Engineering Design, Springer, London, 1998.
  19. M.G. Parsons, R.L. Scott, Formulation of multi-criterion design optimization problems for solution with scalar numerical optimization methods, J. Ship Res., 48 (2004) 61–76.
  20. X. Du, W. Chen, Methodology for managing the effect of uncertainty in simulation-based design, AIAA J., 38 (2000) 1471–1478.
  21. R. Marijt, Multi-objective Robust Optimization Algorithms for Improving Energy Consumption and Thermal Comfort of Buildings, Ph.D. Thesis, Technical University of Eindhoven, Holland, 2009.
  22. E. Boulougouris, A. Papanikolaou, Risk-based design of naval combatants, Ocean Eng., 65 (2013) 49–61.
  23. C. Carlsson, R. Fullér, On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets Syst., 122 (2001) 315–326.
  24. G. Taguchi, M.S. Phadke, Quality engineering through design optimization, K. Dehnad, Ed., Quality Control, Robust Design, and the Taguchi Method, Springer, Boston, MA, 1989, pp. 77–96.
    doi: 10.1007/978-1-4684-1472-1_5
  25. M.W. Trosset, N.M. Alexandrov, L.T. Watson, New Methods for Robust Design Using Computer Simulation, Proceedings of the Section on Physical and Engineering Sciences, American Statistical Association, 2003.
  26. C. Zang, M.I. Friswell, J.E. Mottershead, A review of robust optimal design and its application in dynamics, Comput. Struct., 83 (2005) 315–326.
  27. D. Kuroiwa, G.M. Lee, On robust multi-objective optimization, Vietnam J. Math., 40 (2012) 305–317.
  28. M. Ehrgott, J. Ide, A. Schöbel, Minmax robustness for multiobjective optimization problems, Eur. J. Oper. Res., 239 (2014) 17–31.
  29. T. Erfani, S.V. Utyuzhnikov, Control of robust design in multiobjective optimization under uncertainties, Struct. Multidiscip. Optim., 45 (2012) 247–256.
  30. T. Erfani, S.V. Utyuzhnikov, Directed search domain: a method for even generation of the Pareto frontier in multi-objective optimization, Eng. Optim., 43 (2011) 467–484.
  31. T. Erfani, S. Utyuzhnikov, Handling Uncertainty and Finding Robust Pareto Frontier in Multi-objective Optimization Using Fuzzy Set Theory, 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference 18th AIAA/ASME/AHS Adaptive Structures Conference 12th, 2010, p. 3092.
  32. S. Utyuzhnikov, M.D. Guenov, P. Fantini, Numerical Method for Generating the Entire Pareto Frontier in Multi-objective Optimization, Proceedings of Eurogen, Munich, 2005, pp. 12–14.