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Performance assessment of repairable system in series configuration under different types of failure and repair policies using copula linguistics

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  • Monika Gahlot
  • V.V. Singh
  • Hamisu Ismial Ayagi
  • C.K. Goel

Abstract

This paper deals with the study of reliability measures of a complex system consisting two subsystems, subsystem-1 and subsystem-2 in a series configuration. The subsystem-1 has three units that are working under the policy 2-out-of-3: F; policy, and the subsystem-2 has two units that are working under 1-out-of-2: G; policy. Failure rates of units of subsystems are constant and assumed to follow an exponential distribution, but their repair supports two types of distribution, general distribution, and Gumbel-Hougaard family copula distribution. Two types of repair (general repair and copula repair) have been employed for partially failed and completely failed states. The system is analysed using the supplementary variable technique. Some important measures of reliability such as availability of system, reliability of the system, MTTF and profit analysis have been discussed. Computations have taken a particular case by evaluating availability, reliability, MTTF and profit of operation of the system.

Suggested Citation

  • Monika Gahlot & V.V. Singh & Hamisu Ismial Ayagi & C.K. Goel, 2018. "Performance assessment of repairable system in series configuration under different types of failure and repair policies using copula linguistics," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 12(4), pages 348-363.
    • Handle: RePEc:ids:ijrsaf:v:12:y:2018:i:4:p:348-363
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    Citations

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    Cited by:

    1. Subhash Malik & P. C. Tewari, 2023. "Performability and maintenance decisions for coal ash handling system of a subcritical thermal power plant," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 45-54, February.
    2. Ajay Kumar & Reena Garg & M. S. Barak, 2023. "Reliability measures of a cold standby system subject to refreshment," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 147-155, February.
    3. Muhammad Idris Abubakar & Vijay Vir Singh, 2019. "Performance assessment of industrial system (African Textile Manufacturers, LTD) through copula linguistic approach," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 29(4), pages 5-22.
    4. Praveen Kumar Poonia, 2024. "Exact reliability formula for precision agriculture through copula repair approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(8), pages 3725-3736, August.

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