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

Hung-Yuan Tu and Hillel Kumin
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Hung-Yuan Tu: Boeing Military Airplane Company, Wichita, Kansas
Hillel Kumin: University of Oklahoma, Norman, Oklahoma

Operations Research, 1983, vol. 31, issue 5, 948-950

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 (search for similar items in EconPapers)
Date: 1983
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