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Stationary analysis of the infinite-server queue modulated by a multi-phase Markovian environment

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We consider an infinite-server queue, where the arrival and service rates are both governed by a continuous-time Markov chain that is independent of all other aspects of the queue. Through… Click to show full abstract

We consider an infinite-server queue, where the arrival and service rates are both governed by a continuous-time Markov chain that is independent of all other aspects of the queue. Through constructing a pretty Markov process, several performance measures are derived by using the supplementary variable technique. In addition, special cases and numerical examples are studied in detail.

Keywords: stationary analysis; queue modulated; server queue; infinite server; analysis infinite

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2018

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