S. A. Zhbanov, “Computing the generalized Lyapunov parameter for teletraffic systems over the <nobr>$\mathrm R_{\max}$</nobr> semiring”, Avtomat. i Telemekh., 2012, Issue 12,Pages <nobr>3

Computing the generalized Lyapunov parameter for teletraffic systems over the $\mathrm R_{\max}$ semiring

S. A. Zhbanov

Lipetsk State Technical University, Lipetsk, Russia

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.

Presented by the member of Editorial Board: B. T. Polyak

Received: 19.01.2012