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Multi-component problems are optimization problems that are composed of multiple interacting sub-problems. The motivation of this work is to investigate whether it can be better to consider multiple objectives when dealing with multiple interdependent components. Therefore, the Travelling Thief Problem (TTP), a relatively new benchmark problem, is investigated as a bi-objective problem. The results indicate that a multi-objective approach can produce solutions to the single-objective TTP variant while being competitive to current state-of-the-art solvers.