# 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.

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Contributed by: Yoni Nazarathy (March 2011)

Open content licensed under CC BY-NC-SA

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"Scalings of a GI/G/1 Queue Realization"

http://demonstrations.wolfram.com/ScalingsOfAGIG1QueueRealization/

Wolfram Demonstrations Project

Published: March 7 2011