The article discusses a multiphase queuing system with a recurrent incoming flow, storage units of unlimited capacity, and recurrent service times at its nodes. To analyze and evaluate the main parameters of the performance of this network, a new approach is presented, which consists in combining simulation with data mining methods. This approach is universal in nature, and its area of application is not limited to studies of tandem networks only, but, on the contrary, extends to any other networks of arbitrary topology, as well as to queuing systems with various combinations of its main components. To assess the quality of the characteristics obtained, namely the average end-to-end delay, a comparative analysis is carried out with the known approximate results obtained in earlier works.