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Computational Optimization and Applications

, Volume 71, Issue 1, pp 53–72 | Cite as

A multi-objective DIRECT algorithm for ship hull optimization

  • E. F. Campana
  • M. Diez
  • G. Liuzzi
  • S. Lucidi
  • R. Pellegrini
  • V. Piccialli
  • F. Rinaldi
  • A. Serani
Article

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 

Mathematics Subject Classification

90C30 90C56 65K05 

Notes

Acknowledgements

We thank two anonymous reviewers whose comments helped us improve the paper.

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Istituto Nazionale per Studi ed Esperienze di Architettura NavaleConsiglio Nazionale delle RicercheRomeItaly
  2. 2.Istituto di Analisi dei Sistemi ed InformaticaConsiglio Nazionale delle RicercheRomeItaly
  3. 3.Dipartimento di Ingegneria Informatica, Automatica e GestionaleSapienza Università di RomaRomeItaly
  4. 4.Dipartimento di Ingegneria Civile e Ingegneria InformaticaUniversità degli Studi di Roma “Tor Vergata”RomeItaly
  5. 5.Dipartimento di MatematicaUniversità di PadovaPaduaItaly

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