On differential equations arising in the theory of processor sharing queues

On differential equations arising in the theory of processor sharing queues

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Article ID: iaor200913589
Country: Germany
Volume: 69
Issue: 12
Start Page Number: 2156
End Page Number: 2160
Publication Date: Dec 2008
Journal: Automation and Remote Control
Authors:
Keywords: queues: theory
Abstract:

We give a probabilistic interpretation of some equations arising when the queueing system M/G/1 with egalitarian processor sharing is studied. To get this aim, we use, in addition to the new analytic method of the author, the well–known method of collective marks, in which two separate operations are involved: the ‘marking’ of jobs, and the observation of ‘catastrophe’ processes.

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