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On Comparison of Multiserver Systems with Two-Component Mixture Distributions

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Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1337))

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Abstract

In this paper, we introduce and study the relations between parameters of the two-component Hyperexponential, Exponential-Pareto and two-component Pareto mixture distributions which admit stochastic and failure rate comparisons. Then we apply the failure rate and stochastic ordering techniques to construct the upper and lower bounds for the steady-state performance indexes of a multiserver model with Exponential-Pareto mixture service time distribution.

The research is supported by Russian Foundation for Basic Research, projects No. 19-57-45022, 19-07-00303, 18-07-00156, 18-07-00147.

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Authors and Affiliations

  1. Petrozavodsk State University, Lenin str. 33, Petrozavodsk, 185910, Russia

    Irina Peshkova, Evsey Morozov & Maria Maltseva

  2. Institute of Applied Mathematical Research of the Karelian research Centre of RAS, Pushkinskaya str. 11, Petrozavodsk, 185910, Russia

    Evsey Morozov

  3. Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Moscow, 119991, Russia

    Evsey Morozov

Authors
  1. Irina Peshkova
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  2. Evsey Morozov
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  3. Maria Maltseva
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Corresponding authors

Correspondence to Irina Peshkova , Evsey Morozov or Maria Maltseva .

Editor information

Editors and Affiliations

  1. V.A.Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Vladimir M. Vishnevskiy

  2. Peoples’ Friendship University of Russia (RUDN University), Moscow, Russia

    Konstantin E. Samouylov

  3. V.A.Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Dmitry V. Kozyrev

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Peshkova, I., Morozov, E., Maltseva, M. (2020). On Comparison of Multiserver Systems with Two-Component Mixture Distributions. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds) Distributed Computer and Communication Networks: Control, Computation, Communications. DCCN 2020. Communications in Computer and Information Science, vol 1337. Springer, Cham. https://doi.org/10.1007/978-3-030-66242-4_27

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  • DOI: https://doi.org/10.1007/978-3-030-66242-4_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-66241-7

  • Online ISBN: 978-3-030-66242-4

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