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

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

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...

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Veröffentlicht in:Automation and remote control 2012-12, Vol.73 (12), p.1951-1959
1. Verfasser: Zhbanov, S. A.
Format: Artikel
Sprache:eng
Schlagworte:
CAE) and Design
Calculus of Variations and Optimal Control
Optimization
Computer-Aided Engineering (CAD
Control
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
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Zusammenfassung: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.
ISSN:0005-1179
1608-3032
DOI:10.1134/S0005117912120016