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A Note on the Convexity of Performance Measures of M/M/c Queueing Systems
Hau Leung Lee and Morris A. Cohen
Journal of Applied Probability
Vol. 20, No. 4 (Dec., 1983), pp. 920-923
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3213606
Page Count: 4
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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.
Journal of Applied Probability © 1983 Applied Probability Trust