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The performance of information systems is a very important and complicated consideration. With the help of a proper performance model and an appropriate evaluation algorithm, performance metrics can be predicted. The goal of our work is to enhance the Mean-Value Analysis evaluation algorithm based on the investigation of thread pools. With the help of a queueing model and the enhanced performance evaluation algorithm the performance metrics of multi-tier information systems can be predicted much more accurate. In our work, the convergence of the original and the enhanced algorithms is analyzed, as well. In addition, the enhanced algorithm is experimentally validated.