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Analytical communication performance models play an important role in prediction of the execution time of parallel applications on multiprocessors. Apart from designing such a model, accurate estimation of the values of its parameters is one of the main issues. This paper deals with a heterogeneous analytical communication model designed for prediction of MPI communications on heterogeneous clusters based on a switched network. Accurate estimation of the parameters of this model is a particularly challenging task due to a large number of the parameters. In this paper, we present a solution of the task based on a carefully designed set of communication experiments, which not only allows us to obtain the accurate estimation of the parameters but also tries to minimise the total execution time of the experiments. Experiments demonstrating the accuracy and efficiency of the proposed solution are also presented.