Modelling of Queueing Systems with Markov Chains

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Markov chains are explored as a robust method for analyzing queueing systems, offering insights into transient and stationary state probabilities. The author introduces both basic and advanced modeling techniques, including the analysis of idle and busy periods, departure streams, and overflow traffic. Practical applications are emphasized, with discussions on approximating distributions with phase-type distributions and addressing statistical interdependence in traffic streams. The book is rich with examples to illustrate these concepts, making it accessible for both beginners and experienced practitioners.