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Bounds on the rate of convergence for Markovian queuing models with catastrophes

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  • Zeifman, Alexander

Abstract

In this note, a general approach to the study of non-stationary Markov chains with catastrophes and the corresponding queuing models is considered, as well as to obtain estimates of the limiting regime itself. As an illustration, an example of a queuing model is studied.

Suggested Citation

  • Zeifman, Alexander, 2021. "Bounds on the rate of convergence for Markovian queuing models with catastrophes," Statistics & Probability Letters, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:stapro:v:176:y:2021:i:c:s0167715221001127
    DOI: 10.1016/j.spl.2021.109150
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    References listed on IDEAS

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    1. Zeifman, A.I. & Razumchik, R.V. & Satin, Y.A. & Kovalev, I.A., 2021. "Ergodicity bounds for the Markovian queue with time-varying transition intensities, batch arrivals and one queue skipping policy," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    2. Di Crescenzo, A. & Giorno, V. & Nobile, A.G. & Ricciardi, L.M., 2008. "A note on birth-death processes with catastrophes," Statistics & Probability Letters, Elsevier, vol. 78(14), pages 2248-2257, October.
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    Cited by:

    1. Giorno, Virginia & Nobile, Amelia G., 2022. "On some integral equations for the evaluation of first-passage-time densities of time-inhomogeneous birth-death processes," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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