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The aim of my diploma thesis was to optimize the gap shape of a turbocharger thrust (axial) bearing using the metamodeling. In its first part, the thesis focuses on introduction of optimization and metamodeling, description of different metamodeling techniques and description of a turbocharger with focus on lubrication of thrust bearing. The second part contains a calculation model of flow through the lubrication gap, use of the techniques for compiling a metamodel and the evaluation of individual techniques. Specifically, the methods used are response surfaces and kriging.