A note on the convexity of performance measures of M/M/c queueing systems
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A note on the convexity of performance measures of M/M/c queueing systems

Hau Leung Lee,Morris A. Cohen;Hau Leung Lee;Morris A. Cohen;
journal of applied probability 1983 Vol. 20 pp. 920-923
133
cohen1983journala

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

performance measures note queueing systems m/m/c queueing convexity

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DOI:
10.1017/s0021900200024256
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