Optimized two dimensional convolution algorithm for modelling systems with overflow traffic

This article proposes a new method for a determination of the two-dimensional distribution in systems with overflow traffic. The method proposed in the article offers a significant reduction of computational complexity as compared to two-dimensional convolution methods hitherto proposed. The proposed method is based on a determination of the two-dimensional distribution in the system with traffic overflow on the basis of the one-dimensional distribution. The accuracy of the proposed method, verified and validated in the course of relevant simulation experiments, supports its wider applicability in engineering practice to analyse and dimension multiservice networks with traffic overflow. The algorithm developed by the authors allows researchers to model systems with any type of traffic offered to primary resources.