Development of Pareto strategy multi-objective function method for the optimum design of ship structures
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It is necessary to develop an efficient optimization technique to perform optimum designs which have given design spaces, discrete design values and several design goals. As optimization techniques, direct search method and stochastic search method are widely used in designing of ship structures. The merit of the direct search method is to search the optimum points rapidly by considering the search direction, step size and convergence limit. And the merit of the stochastic search method is to obtain the global optimum points well by spreading points randomly entire the design spaces. In this paper, Pareto Strategy (PS) multi-objective function method is developed by considering the search direction based on Pareto optimal points, the step size, the convergence limit and the random number generation. The success points between just before and current Pareto optimal points are considered. PS method can also apply to the single objective function problems, and can consider the discrete design variables such as plate thickness, longitudinal space, web height and web space. The optimum design results are compared with existing Random Search (RS) multi-objective function method and Evolutionary Strategy (ES) multi-objective function method by performing the optimum designs of double bottom structure and double hull tanker which have discrete design values. Its superiority and effectiveness are shown by comparing the optimum results with those of RS method and ES method.
Abstract
It is necessary to develop an efficient optimization technique to perform optimum designs which have given design spaces, discrete design values and several design goals. As optimization techniques, direct search method and stochastic search method are widely used in designing of ship structures. The merit of the direct search method is to search the optimum points rapidly by considering the search direction, step size and convergence limit. And the merit of the stochastic search method is to obtain the global optimum points well by spreading points randomly entire the design spaces. In this paper, Pareto Strategy (PS) multi-objective function method is developed by considering the search direction based on Pareto optimal points, the step size, the convergence limit and the random number generation. The success points between just before and current Pareto optimal points are considered. PS method can also apply to the single objective function problems, and can consider the discrete design variables such as plate thickness, longitudinal space, web height and web space. The optimum design results are compared with existing Random Search (RS) multi-objective function method and Evolutionary Strategy (ES) multi-objective function method by performing the optimum designs of double bottom structure and double hull tanker which have discrete design values. Its superiority and effectiveness are shown by comparing the optimum results with those of RS method and ES method.
참고문헌 (25)
- Goldberg, D. E., "Genetic Algorithms in Search, Optimization and Machine Learning" (1989), Addison-Wesley
- Hooke, R., "Direct search solution of numerical and statistical problems", J. ACM, 8 (1961)
- Jang, C. D., "Development of an optimum structural design system of double hull oil tankers", J. Soc. Nav. Archit. Korea, 37(1), pp.118~126 (2000)
- Karr, D. G., "A framework for simulation based design of ship structures", J. Ship Prod., 18(1), pp.33~46 (2002)
- Kim, K. H., "Optimum Structural Design of Ships by Using Multiobjective Genetic Algorithm", Ph.D., pp.1994
- Knowles, J. D., "The Pareto Archived Evolution Strategy: a New Baseline Algorithm for Pareto Multi-objective Optimization", Congress on Evolutionary Computation, 1 (1999)
- Korean Register of Shipping, "Common Structural Rules for Oil Tankers", International Association of Classification Societies, ~ (2009)
- Korean Register of Shipping, "Harmonized Common Structural Rules for Bulk Carriers and Oil Tankers", International Association of Classification Societies, ~ (2015)
- Moe, J., "Cost and weight minimization of structures with special emphasis on longitudinal strength members of tankers", Trans. R. Inst. Nav. Archit, 110(1) (1968)
- Mori, S., "Structural optimization of the midship section by applying genetic algorithm and response surface method", J. Jpn. Soc. Nav. Archit. Ocean Eng, 20, pp.109~117 (2014)
- 나승수, "Pareto 최적점 기반 다목적함수 기법 개발에 관한 연구", 대한조선학회 논문집, 42(2), pp.175~182 (2005), 대한조선학회
- Na, S. S., "Product-oriented optimum structural design of double-hull oil tankers", J. Ship Prod, 18(4), pp.237~248 (2002)
- Na, S. S., "An efficient stiffness method for the optimum design of ship structures based on common structural rules", J. Ships Offshore Struct, 8(1), pp.29~44 (2013)
- 나승수, "Pareto 최적점 기반 다목적함수 기법에 의한 이중선각유조선의 최적구조설계", 대한조선학회 논문집, 42(3), pp.284~289 (2005), 대한조선학회
- Nelder, J. A., "A simplex method for function minimization", Comput. J, pp.7~ (1965)
- Nobukawa, H., "Discrete optimization of ship structures with genetic algorithms", J. Soc. Nav. Archit. Jpn, 179, pp.293~301 (1996)
- Pareto, V., "Cours DEConomie Politique" (1896), F. Rouge
- Ruy, W. S., "Comparison of genetic algorithm and evolutionary strategy", J. Comput. Struct. Eng. Inst. Korea, 7(3), pp.41~45 (1994)
- Schwefel, H. P., "Numerical Optimization of Computer Models" (1981), Wiley
- Sekulski, Z., "Ship hull structural multiobjective optimization by evolutionary algorithm", J. Ship Res, 58(2), pp.45~69 (2014)
- Shin, S. H., "Optimum Structural Design of Tankers Using Multiobjective Optimization Technique", Ph.D., pp.2000
- 신상훈, "다목적함수 최적화기법을 이용한 유조선의 최적구조설계", 한국전산구조공학회논문집, 15(4), pp.591~598 (2002), 한국전산구조공학회
- Shin, S. H., "Optimum structural design of tankers using multi-objective optimization technique", J. Ships Offshore Struct, 1(3), pp.213~219 (2006)
- Yang, Y. S., "Discrete optimum design of ship structures by genetic algorithm", J. Soc. Nav. Archit. Korea, 31(4), pp.147~156 (1994)
- Yim, S. J., "Optimum structural design of grillage by using multi-objective function method", J. Soc. Nav. Archit. Korea, 25(1), pp.11~20 (1988)