A note on the convexity of performance measures of M/M/c queueing systems
- 1 December 1983
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 20 (4) , 920-923
- https://doi.org/10.2307/3213606
Abstract
Convexity of performance measures of queueing systems is important in solving control problems of multi-facility systems. This note proves that performance measures such as the expected waiting time, expected number in queue, and the Erlang delay formula are convex with respect to the arrival rate or the traffic intensity of the M/M/c queueing system.Keywords
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