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A multi-objective DIRECT algorithm for ship hull optimization

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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.

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Acknowledgements

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

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Authors and Affiliations

  1. Istituto Nazionale per Studi ed Esperienze di Architettura Navale, Consiglio Nazionale delle Ricerche, Via di Vallerano 139, 00128, Rome, Italy

    E. F. Campana, M. Diez, R. Pellegrini & A. Serani

  2. Istituto di Analisi dei Sistemi ed Informatica, Consiglio Nazionale delle Ricerche, Via dei Taurini 19, 00185, Rome, Italy

    G. Liuzzi

  3. Dipartimento di Ingegneria Informatica, Automatica e Gestionale, Sapienza Università di Roma, Via Ariosto 25, 00185, Rome, Italy

    S. Lucidi

  4. Dipartimento di Ingegneria Civile e Ingegneria Informatica, Università degli Studi di Roma “Tor Vergata”, Via del Politecnico 1, 00133, Rome, Italy

    V. Piccialli

  5. Dipartimento di Matematica, Università di Padova, Via Trieste 63, 35121, Padua, Italy

    F. Rinaldi

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  1. E. F. Campana
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  2. M. Diez
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  3. G. Liuzzi
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  4. S. Lucidi
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  5. R. Pellegrini
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  6. V. Piccialli
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  7. F. Rinaldi
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  8. A. Serani
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Correspondence to G. Liuzzi.

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Campana, E.F., Diez, M., Liuzzi, G. et al. A multi-objective DIRECT algorithm for ship hull optimization. Comput Optim Appl 71, 53–72 (2018). https://doi.org/10.1007/s10589-017-9955-0

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  • DOI: https://doi.org/10.1007/s10589-017-9955-0

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