A multi-objective DIRECT algorithm for ship hull optimization

E. F. Campana, M. Diez, G. Liuzzi (), S. Lucidi, R. Pellegrini, V. Piccialli, F. Rinaldi and A. Serani
Additional contact information
E. F. Campana: Consiglio Nazionale delle Ricerche
M. Diez: Consiglio Nazionale delle Ricerche
G. Liuzzi: Consiglio Nazionale delle Ricerche
S. Lucidi: Sapienza Università di Roma
R. Pellegrini: Consiglio Nazionale delle Ricerche
V. Piccialli: Università degli Studi di Roma “Tor Vergata”
F. Rinaldi: Università di Padova
A. Serani: Consiglio Nazionale delle Ricerche

Computational Optimization and Applications, 2018, vol. 71, issue 1, No 3, 53-72

Abstract: 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.

Keywords: Multi-objective nonlinear programming; Derivative-free optimization; DIRECT-type algorithm; 90C30; 90C56; 65K05 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10589-017-9955-0

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