Computational Aspects of Modeling Performance Characteristics forPolling Models with Semi-Markov Switching and Priorities

Exhausting polling models with priorities and semi-Markov switching are considered. Some of performance characteristics, such as analog of Pollaczek-Khintchin virtual and steady state transform equations, analog of Kendall functional equation and analog of Gnedenko system's busy period are presented. Elaboration of numerical algorithms and computational aspects of numerical modelling are discussed.