Computing the generalized Lyapunov parameter for teletraffic systems over the Rmax semiring

Computing the generalized Lyapunov parameter for teletraffic systems over the Rmax semiring

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Article ID: iaor2013117
Volume: 73
Issue: 12
Start Page Number: 1951
End Page Number: 1959
Publication Date: Dec 2012
Journal: Automation and Remote Control
Authors:
Keywords: control, simulation
Abstract:

We consider specialized idempotent models used to describe teletraffic systems. We propose a principled new approach for describing the impatience of system users based on a symmetrization of the idempotent semifield. We formulate and prove theorems for finding the generalized Lyapunov parameter in case of deterministic systems.

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