Technical Note—A Note on Waiting Times in Single Server Queues

Richard Weber

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Advanced Queuing Theory Analysis Optimization and Search Problems Age of Information Optimization

Abstract

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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1996The Departure Process of the GI/G/1 Queue and Its MacLaurin Series 2009Service Outsourcing: Capacity, Quality and Correlated Costs 1983Technical Note—A Convexity Result for a Class of GI/G/1 Queueing Systems 1995Analyticity of single-server queues in light traffic

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