Analysis of a Non-Work Conserving Generalized Processor Sharing Queue

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Provided by: Cornell University
Topic: Hardware
Format: PDF
In this paper, the authors consider a non work-conserving Generalized Processor Sharing (GPS) system composed of two queues with Poisson arrivals and exponential service times. Using general results due to Fayolle et al, they first establish the stability condition for this system. They then determine the functional equation satisfied by the generating function of the numbers of jobs in both queues and the associated Riemann-Hilbert problem. They prove the existence and the uniqueness of the solution.
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