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

1 October 1983

journal article
Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research

Vol. 31 (5) , 950-951
https://doi.org/10.1287/opre.31.5.950

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.

Keywords

FUNCTIONS
QUEUE
FCFS
NONINCREASING
CONVEX
WAITING TIMES
SINGLE SERVER
NOTE ON WAITING