ABSTRACT

Assuming that the multi-objective optimization methods can be primarily classified with respect to the sources of inspiration of the methods, they can be divided into two following categories: (1) classical methods, and (2) methods inspired by natural systems, evolutionary methods in the peculiarity. Evolutionary methods can be divided, considering the way the optimization criteria are accounted for, into two groups: (2.1) scalarising methods employing a substitute scalar objective function as a singlevalue absolute measure of quality of the generated variants of the trial solutions, and (2.2) methods employing the Pareto domination relation to classify the variants with respect to their quality. In the case of the scalarizing methods the most important point of calculation tool for multi-objective optimization of ship structure is appropriate formulation of parameterized objective function consisting in summing the optimization objectives with proper weight coefficients. The weight coefficients values of this substitute objective function are proposed by the expert corresponding to the multi-objective optimization strategy. The simplest concept is the introduction of objective function F(x) as a linear combination of S partial optimization objectives fs(x):

1 INTRODUCTION

Generally speaking, ship structural design consists in selection and spatial arrangement of material in the form of structural components (decks, bulkheads, hull sections) composed of secondary structural elements (stiffeners, plating etc.). The ship hull should provide safe ship operation at the least costs.