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Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System

Author

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  • Hector Gibson Kinmanhon Houankpo

    (Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russia)

  • Dmitry Kozyrev

    (Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russia
    V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Street, 117997 Moscow, Russia)

Abstract

In the actual study, we carried out a reliability analysis of a repairable redundant data transmission system with the use of the elaborated mathematical and simulation model of a closed heterogeneous cold standby system. The system consists of one repair unit and two different data sources with an exponential cumulative distribution function (CDF) of their uptime and a general independent CDF of their repair time. We consider five special cases of the general independent CDF; including Gamma, Weibull-Gnedenko, Exponential, Lognormal and Pareto. We study the system-level reliability, defined as the steady-state probability (SSP) of failure-free system operation. The proposed analytical methodology made it possible to assess the reliability of the whole system in the event of failure of its components. Specific analytic expressions and asymptotic valuations are obtained for the steady-state probabilities of the system and the SSP of failure-free system operation. A simulation model of the system in cases where it is not workable to obtain expressions for the steady-state probabilities of the system in an explicit analytical form was considered, in particular for constructing the empirical system reliability function. The issue of sensitivity analysis of reliability characteristics of the considered system to the types of repair time distributions was also studied. The simulation modeling was done with the R statistics package.

Suggested Citation

  • Hector Gibson Kinmanhon Houankpo & Dmitry Kozyrev, 2021. "Mathematical and Simulation Model for Reliability Analysis of a Heterogeneous Redundant Data Transmission System," Mathematics, MDPI, vol. 9(22), pages 1-16, November.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2884-:d:677940
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    References listed on IDEAS

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    1. Zdeněk Kala, 2020. "Sensitivity Analysis in Probabilistic Structural Design: A Comparison of Selected Techniques," Sustainability, MDPI, vol. 12(11), pages 1-19, June.
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    Cited by:

    1. Alexey V. Yakovlev & Vladimir V. Alekseev & Maria V. Volchikhina & Sergey V. Petrenko, 2022. "A Combinatorial Model for Determining Information Loss in Organizational and Technical Systems," Mathematics, MDPI, vol. 10(19), pages 1-12, September.
    2. Nika Ivanova, 2023. "On Importance of Sensitivity Analysis on an Example of a k -out-of- n System," Mathematics, MDPI, vol. 11(5), pages 1-18, February.

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