The convexity of the mean queue size of the M/M/c queue with respect to the traffic intensity
- 1 March 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 20 (04) , 916-919
- https://doi.org/10.1017/s0021900200024244
Abstract
In this paper, we show that the expected number in an M/M/c queue is convex with respect to the traffic intensity. The proof is conducted by expressing the second derivative of the expected queue size as the sum of non-negative terms.Keywords
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