Abstract
Inhomogeneous continuous-time Markov chain with a special structure of infinitesimal matrix is considered as the queue-length process for the corresponding queueing model with possible batch arrivals, possible catastrophes and state-dependent control at idle time. For two wide classes of such processes we suppose an approach is proposed for obtaining explicit bounds on the rate of convergence to the limiting characteristics.
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The work by Zeifman was supported by the State scientific grant of the Vologda region.
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Zeifman, A. et al. (2020). Bounds on the Rate of Convergence for Nonstationary \(M^X/M_n/1\) Queue with Catastrophes and State-Dependent Control at Idle Time. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2019. EUROCAST 2019. Lecture Notes in Computer Science(), vol 12013. Springer, Cham. https://doi.org/10.1007/978-3-030-45093-9_18
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