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| This paper studies an M/M/c queue with a kind of Bernoulli schedule, where the service rate of each server is determined by the number of customers present in the system upon its service completion. We apply the matrix-geometric method, which has been proven an efficient approach for analyzing queueing systems, to obtain the explicit closed-form of rate matrix $R$. In terms of the results, we further give the steady state distribution of queue length and the stationary performance measures. Using a recursion method, we can also obtain the conditional mean waiting time of a customer in steady state. Finally, some numerical calculations are presented in order to validate the analytical approach and demonstrate the effects of various parameters on the system performance. |
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| Keywords:M/M/c queue; different service rates; Bernoulli schedule; Matrix-analytic approach; Conditional mean waiting time. |
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