I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 4, PAGES 1135-1157
A. D. Manita
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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