FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 4, PAGES 1135-1157
A. D. Manita
Abstract
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For a sequence of finite Markov chains $\mathcal L(N)$
we introduce a notion of convergence time to equilibrium $T(N)$ .
For sequences that are constructed by truncation of some countable
Markov chain $\mathcal L$ we find the convergence time to equilibrium
in terms of Lyapunov function of the chain $\mathcal L$ .
We apply this result to queueing systems with limited number of customers:
a priority system with several types of customers and Jackson network.
All articles are published in Russian.
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Last modified: December 9, 1999