As an example of complex systems a controlled service platform is treated, for which an improved design has to be determined. Two substitute models that simplify the real system to a different degree are employed for the calculation of the structural responses by means of the Finite-Element (FE)-Method. The structural analyses are limited to the consideration of the system’s free vibration behaviour, as well as the displacements and stresses in an extreme load case, called bumper impact. A further system reduction is achieved by using sub-structuring and the reduction according to Guyan. The structural optimization problem is solved by means of the optimization procedure SAPOP that is based on the so-called Three-Columns-Concept. Results are given for a design optimized with respect to mass, first eigenfrequency, and stress.