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.
               
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