A multi-objective DIRECT algorithm for ship hull optimization

The paper is concerned with black-box nonlinear constrained multi-objective optimization problems. Our interest is the definition of a multi-objective deterministic partition-based algorithm. The main target of the proposed algorithm is the solution of a real ship hull optimization problem. To this...

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Published in:	Computational optimization and applications Vol. 71; no. 1; pp. 53 - 72
Main Authors:	Campana, E. F., Diez, M., Liuzzi, G., Lucidi, S., Pellegrini, R., Piccialli, V., Rinaldi, F., Serani, A.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2018 Springer Nature B.V
Subjects:	Algorithms Convex and Discrete Geometry Management Science Mathematics Mathematics and Statistics Multiple objective analysis Operations Research Operations Research/Decision Theory Optimization Sailing Ship hulls Statistics Viability Wave resistance DIRECT-type algorithm 90C30 65K05 Multi-objective nonlinear programming 90C56 Derivative-free optimization
ISSN:	0926-6003, 1573-2894
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Abstract	The paper is concerned with black-box nonlinear constrained multi-objective optimization problems. Our interest is the definition of a multi-objective deterministic partition-based algorithm. The main target of the proposed algorithm is the solution of a real ship hull optimization problem. To this purpose and in pursuit of an efficient method, we develop an hybrid algorithm by coupling a multi-objective DIRECT-type algorithm with an efficient derivative-free local algorithm. The results obtained on a set of “hard” nonlinear constrained multi-objective test problems show viability of the proposed approach. Results on a hull-form optimization of a high-speed catamaran (sailing in head waves in the North Pacific Ocean) are also presented. In order to consider a real ocean environment, stochastic sea state and speed are taken into account. The problem is formulated as a multi-objective optimization aimed at (i) the reduction of the expected value of the mean total resistance in irregular head waves, at variable speed and (ii) the increase of the ship operability, with respect to a set of motion-related constraints. We show that the hybrid method performs well also on this industrial problem.
AbstractList	The paper is concerned with black-box nonlinear constrained multi-objective optimization problems. Our interest is the definition of a multi-objective deterministic partition-based algorithm. The main target of the proposed algorithm is the solution of a real ship hull optimization problem. To this purpose and in pursuit of an efficient method, we develop an hybrid algorithm by coupling a multi-objective DIRECT-type algorithm with an efficient derivative-free local algorithm. The results obtained on a set of “hard” nonlinear constrained multi-objective test problems show viability of the proposed approach. Results on a hull-form optimization of a high-speed catamaran (sailing in head waves in the North Pacific Ocean) are also presented. In order to consider a real ocean environment, stochastic sea state and speed are taken into account. The problem is formulated as a multi-objective optimization aimed at (i) the reduction of the expected value of the mean total resistance in irregular head waves, at variable speed and (ii) the increase of the ship operability, with respect to a set of motion-related constraints. We show that the hybrid method performs well also on this industrial problem.
Author	Liuzzi, G. Lucidi, S. Piccialli, V. Campana, E. F. Diez, M. Pellegrini, R. Serani, A. Rinaldi, F.
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Cites_doi	10.1007/s101070100263 10.1007/s00158-014-1128-5 10.1109/4235.996017 10.1137/040621132 10.1016/j.oceaneng.2013.06.020 10.1007/s10898-009-9515-y 10.1007/s10589-016-9876-3 10.1016/j.cma.2014.10.042 10.1007/978-1-4615-4677-1 10.1080/02331939808844414 10.1007/s10898-014-0152-8 10.1134/S0965542513020061 10.1007/s10589-008-9217-2 10.1007/s10589-015-9741-9 10.1016/j.swevo.2011.03.001 10.1007/978-1-4615-5563-6 10.1137/1.9780898718768 10.1016/j.advengsoft.2014.09.014 10.1137/10079731X 10.1016/j.cnsns.2015.11.002 10.1007/s10898-014-0180-4 10.1080/10556788.2013.854357 10.1023/A:1017930332101 10.1137/15M1037810 10.1007/s11081-015-9303-0 10.1007/BF00941892 10.1007/s10589-007-9092-2 10.1016/j.cnsns.2014.11.015 10.1080/0305215X.2014.895340 10.1109/TSMCB.2004.834438 10.1016/j.cnsns.2014.08.025
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Methods Softw. doi: 10.1080/10556788.2013.854357
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SubjectTerms	Algorithms Convex and Discrete Geometry Management Science Mathematics Mathematics and Statistics Multiple objective analysis Operations Research Operations Research/Decision Theory Optimization Sailing Ship hulls Statistics Viability Wave resistance
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Title	A multi-objective DIRECT algorithm for ship hull optimization
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