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An efficiency improvement for the implementation of a semi-analytical model of plate silencers in ducts is presented in this work. It is shown that a high approximation quality can be maintained even if the computation effort is reduced significantly. Thus, preliminary designs of plate silencers for specific purposes can be conducted with little effort. In addition, the accelerated implementation is utilized to perform an extensive parameter variation in order to find a best case configuration of silen properties and corresponding design rules. The results of these studies show that a tuning of plate and geometry parameters allow for substantial increases in a silencer's attenuation performance.