Technical Note—A Convexity Result for a Class ofGI/G/1 Queueing Systems

Operations Research · 1983 · Volume 31 · Issue 5

Abstract

This note gives a sufficient condition under which the expected number of customers in a GI / G /1/FCFS queueing system will be a convex function of the service rate. Although the result is intuitively appealing and is usually accepted without proof as a “folk theorem” of queueing theory, there are systems for which it does not hold.

Keywords

681 convexity property of expected number of customers

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