“…The analysis carried out here of the issues related to the application of multi-objective optimization methods to the various problems that arise in the operation and design of ships shows that: − this concerns a wide range of maritime industry areas, for instance: optimizing the ship's routes and schedules [1]- [6], design of the ship's arrangement [7], [12]- [17], hull and propeller shape [8]- [12], optimizing the ship's hull and propeller cooperation [18]- [22], and optimizing the maintenance process [23], [24], − these methods are based on analytical models, for example [1], [17], [25] or numerical models, for example [12], [19], [22], and in the majority, they are parametric studies, where data were obtained from the ship's historical logs or specifications of the existing ships, − these methods used various optimization algorithms, for example: exact algorithms in [1], [17], [25], approximation algorithms in [9], and metaheuristic algorithms (evolutionary algorithm [18]; genetic algorithm [13], [14] [15]; particle swarm optimization [16], [20]). Unfortunately, from the perspective of the problem discussed in this paper, i.e., supporting the selection of the commanded outputs of the ship's propulsion system, the literature review performed found no methods based on data collected during the planned sea trials regarding ship fuel consumption and speed prediction.…”