Scalings of a GI/G/1 Queue Realization

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A GI/G/1 queue is a queuing system with a single server and infinite capacity. Jobs arrive according to a renewal process with a given interarrival distribution having mean and service times are i.i.d. with mean
. The traffic intensity is defined as
, which is a natural measure of the load on the system. It is well known that the queue length process is ergodic only if
. It is also known that when
, the queue length is typically larger when there is more variability in the interarrival and/or the service time distributions.
Contributed by: Yoni Nazarathy (March 2011)
Open content licensed under CC BY-NC-SA
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