Operations Research · 1983 · 47 citations · 1 references
BusinessComputer ScienceQueuing TheoryQueue ManagementQueueing AnalysisQueueing SystemsQueueing TheorySingle-server QueuesWaiting Time AnalysisConvex FunctionsNon-convex Rate FunctionsPerformance Bounds In QueuesService Rate AnalysisSteady-state Queueing AnalysisWaiting Time DistributionsWaiting Times
We show that in any single server queue having a FCFS discipline, the queueing and waiting times of every customer are nonincreasing convex functions of the service rate. An example shows that this need not be the case if the queue has more than one server.
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