Generalised convolution algorithm for modelling state-dependent systems

This study proposes a new method for calculations of the blocking probability in multiservice state-dependent systems. In the method proposed in this study the occupancy distribution is determined on the basis of an appropriately modified convolution operation. This operation is of a universal applicability and provides an opportunity to model approximately any state-dependent systems. The results of the calculations were compared with the results of the simulation experiments of some selected multiservice systems and with the results provided by other analytical methods that are available in the literature of the subject. The study has confirmed high accuracy of the proposed method. The effectiveness of the computational process carried out according to the proposed method can be significantly increased as a result of parallelisation of computation.