Abstract
This tutorial deals with the solution of a large class of models where the behaviour of an unbounded queue is influenced by the evolution of a Markovian environment. The latter, in turn, may be affected by the state of the queue. Several examples of such models, with applications in the fields of computing, communication and manufacturing, are given. The spectral expansion method for obtaining exact solutions is described. A simple and easily computable approximation which is asymptotically exact in heavy traffic is also presented. Some illustrative examples are included.
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Mitrani, I. (2011). Spectral Expansion Solutions for Markov-Modulated Queues. In: Kouvatsos, D.D. (eds) Network Performance Engineering. Lecture Notes in Computer Science, vol 5233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02742-0_19
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DOI: https://doi.org/10.1007/978-3-642-02742-0_19
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