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Switching stochastic models and applications in retrial queues
Authors:Vladimir V Anisimov
Institution:(1) Department of Industrial Engineering, Bilkent University, Bilkent 06533, Ankara, Turkey;(2) Department of Applied Statistics, Kiev University, 252017 Kiev 17, Ukraine
Abstract:Some 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. The paper was supported by INTAS Project 96-0828
Keywords:Markov Process  Semi-Markov Process  Switching Process  Averaging Principle  Diffusion Approximation  Queueing Models  Retrial Queueing Systems
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