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

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1983
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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.
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cohen1983journala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hau Leung Lee,Morris A. Cohen;Hau Leung Lee;Morris A. Cohen;
Journal journal of applied probability
Year 1983
DOI
10.1017/s0021900200024256
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