Development and verification of a mathematical model to design an ice-going cruise ship

Abstract

The results of the development of a mathematical model for determining the economic performance of an ice-going cruise ship are presented. Specific reduced costs, return on investment, rate of return, payback period are taken as optimized characteristics in the mathematical model. The number of passengers and the length of lines were used as optimization parameters. The developed model makes it possible to change the ticket price depending on the level of comfort of passengers on board. As a result of calculations based on the proposed mathematical model, the optimal main ship dimensions and characteristics (components of displacement, power, speed, etc.) were determined. It has been established that the developed mathematical model for optimizing the main dimensions of a cruise ship in terms of the functions of economic criteria is suitable for further research of other optimization parameters (such as useful area in cabins and public spaces; the number of decks and superstructure tiers, etc.).