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Practical Design of Ships and Other Floating Structures                 349
        You-Sheng Wu, Wei-Cheng Cui and Guo-Jun Zhou (Eds)
        8 2001 Elsevier Science Ltd.  All rights reserved




                        BAYESIAN AND NEURAL NETWORKS
                          FOR PRELIMINARY SHIP DESIGN


                         H. B. Clausen, M.Liitzen, A. Friis-Hansen, N. Bjmneboe
                               Department of Mechanical Engineering,
                         Maritime Engineering Technical University of Denmark
                                DK-2800 Kongens Lyngby, Denmark



        ABSTRACT
        To ease the determination of the main particulars of a ship at the initial design stage it is convenient to
        have tools which, given the type of ship and a few other parameters, output estimates of the remaining
        dimensions. To establish such a tool, a database of the characteristics of about 87,000 ships is acquired
        and various methods for derivation of empirical relations are employed. A  regression analysis is
        carried out to fit functions to the data. Further, the data is used to learn Bayesian and neural networks
        to encode the relations between the characteristics. On the basis of examples, the three methods are
        evaluated in terms of accuracy and limitations of use. For a chosen type of ship, here container vessels,
        the methods provide information on  the  relations  between  length,  breadth,  height,  draught, speed,
        displacement, block  coefficient and TEU capacity. Thus, useful tools are available for the designer
        when he is to choose the preliminary main characteristics of a ship.


        KEYWORDS
        Neural Network, Bayesian Network, Main Particulars, Preliminary Ship Design, Data Fitting.


        1  INTRODUCTION

        The main particulars of a ship are determined at a preliminary stage, based on more or less detailed
        customer requirements. The naval architect has to find a design with the ‘optimal’ main dimensions
        and often the approach is to consider ships with similar characteristics and use an iteration loop to
        modify the dimensions so that all specifications are met. hother approach is to use empirical relations
        for finding the initial design parameters. Many authors have refined this approach (e.g.  Bertram and
        Wobig (1999), Watson and Gilfillan (1977)) by  fitting regression lines to statistical  data, yielding
        explicit empirical expressions for the relations between various parameters. However, the empirical
        expressions  only give the relation between two parameters at a time irrespective of the rest. A method
        to find  the simultaneous relations between  more  parameters is addressed with  neural and Bayesian
        networks.
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