Switching stochastic models and applications in retrial queues |
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Authors: | Vladimir V Anisimov |
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Institution: | (1) Department of Industrial Engineering, Bilkent University, Bilkent 06533, Ankara, Turkey;(2) Department of Applied Statistics, Kiev University, 252017 Kiev 17, Ukraine |
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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 |
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Keywords: | Markov Process Semi-Markov Process Switching Process Averaging Principle Diffusion Approximation Queueing Models Retrial Queueing Systems |
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