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The G/G/2 queue : cyclic vs. FIFS service order

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Title: The G/G/2 queue : cyclic vs. FIFS service order
Author: Piater, Reinhard
Degree Master of Science - MSc
Program Mathematics
Copyright Date: 1975
Abstract: The relative waiting times in a G/G/2 queue are investigated for FIFS vs. cyclic service order. We will prove that under the FIFS system the expected wait is shorter given rather weak conditions on the arrival process. However, the wait is not necessarily stochastically less, nor is the average wait less for every realization. This result bears on the upper limits on expected wait in a G/G/k queue given by Brumelle and Kingman.
URI: http://hdl.handle.net/2429/19301
Series/Report no. UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]

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