On the Nonsymmetric Longer Queue Model: Joint Distribution, Asymptotic Properties, and Heavy Traffic Limits

We consider two parallel queues, each with independent Poisson arrival rates, that are tended by a single server. The exponential server devotes all of its capacity to the longer of the queues. If both queues are of equal length, the server devotes ν of its capacity to the first queue and the remain...

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Bibliographic Details
Main Authors: Charles Knessl, Haishen Yao
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Advances in Operations Research
Online Access:http://dx.doi.org/10.1155/2013/680539