Anisimov, V. V.2019-02-012019-02-0119991134-5764http://hdl.handle.net/11693/48676Some special classes of Switching Processes such as Recurrent Processes of a Semi-Markov type and Processes with Semi-Markov Switches are introduced. Limit theorems of Averaging Principle and Diffusion Approximation types are given. Applications to the asymptotic analysis of overloading state-dependent Markov and semi-Markov queueing modelsM SM,Q /M SM,Q /1/∞ and retrial queueing systemsM/G/1/w.r in transient conditions are studied.EnglishMarkov processSemi-Markov processSwitching processAveraging principleDiffusion approximationQueueing modelsRetrial Queueing systemsArticle10.1007/BF025647201863-8279