Investigation of a mathematical model for optimizing the characteristics of a container ship

The design of a modern marine vessel is inextricably linked with the creation of its "electronic copy", implemented in the form of a mathematical model. At the same time, it contains not only the formulas, dependencies and variables that are minimally necessary for further calculations, but also ensures the integrity, objectivity and comprehensiveness of data about the object under study in some area of the search for a solution. In conjunction with the optimization algorithm used, for which the random search method is selected in this paper, a system for calculating the characteristics of a container ship is implemented with optimization according to a given efficiency criterion in the form of reduced costs. The article presents the results of calculating the characteristics of a feeder container vessel, performed in the developed optimization program, and analyzing the properties of a mathematical model based on numerical experimental data to assess its adequacy, sensitivity, and stability. A comparison of the results obtained with actual container ships made it possible to investigate the behavior of the mathematical model in the field of the highest accuracy, and to justify the deviations of the optimal experimental data obtained for the specified defining variables from the compared vessel design.