The M/M/c queue with mass exodus and mass arrivals when empty
Authors:
- Lina ZhangLZLina Zhang
- Junping LiJLJunping Li
- 1 December 2015
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 52 (4) , 990-1002
Abstract
In this paper we consider an M/M/c queue modified to allow both mass arrivals when the system is empty and the workload to be removed. Properties of queues which terminate when the server becomes idle are firstly developed. Recurrence properties, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no mass exodus. All of these results are then generalized to allow for the removal of the entire workload. In particular, we obtain the Laplace transformation of the transition probability for the absorptive M/M/c queue.Keywords
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