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In recent years, the size (weight and volume) of cruise ships are experiencing spectacular increase, coherently with the increase in energy consumption and carbon emissions. However, the regulations about pollutant emissions imposed by the International Maritime Organization are becoming more and more strict. In order to face up to this issue, the energy system of cruise ships is constantly being modified. In this paper, the structure of the cruise ship's energy system with multiple facilities such as an internal combustion engine, gas turbine, dual fuel engine, PV panels, and the wind turbine is pre-established. Then, a multi-objective mathematical programming model is formulated to determine the selection and capacity of facilities with minimal total annual cost and size, while the emissions, energy balance and technical constraints are taken into account. By adopting the augmented ε-constraint method, the design …