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Performance evaluation of a repairable system by using hesitant normal lambda-tau methodology

Author

Listed:
  • Jorawar Bura

    (Kurukshetra University)

  • M. S. Kadyan

    (Kurukshetra University)

  • Jitender Kumar

    (Kurukshetra University)

Abstract

The main purpose of the present paper is to put forward a new methodology called “Hesitant Normal Lambda-Tau Methodology” for obtaining the reliability indices of complex systems. The new methodology integrates the Hesitant Fuzzy Set (HFS) theory and the normal membership function with the Lambda-Tau methodology for system performance evaluation. The HFS theory is used to represent the failure rate (λ) and repair time (τ), as it uses imprecise and uncertain data for calculating reliability indices. The system’s Petri-Nets (PN) model is used to generate minimum cut and path sets, which are then used to calculate λ and τ of the PN model’s top position using the proposed methodology. The boiler air circulation system of a thermal power plant has been considered to exhibit the proposed methodology. The failure rates of the system are considered to follow an exponential distribution. Various expressions of reliability measures, such as mean time to failure, mean time to repair, mean time between failures, reliability, availability, and expected number of failures, are obtained, and numerical values with different spreads are calculated and tabulated.

Suggested Citation

  • Jorawar Bura & M. S. Kadyan & Jitender Kumar, 2025. "Performance evaluation of a repairable system by using hesitant normal lambda-tau methodology," OPSEARCH, Springer;Operational Research Society of India, vol. 62(3), pages 1093-1116, September.
    • Handle: RePEc:spr:opsear:v:62:y:2025:i:3:d:10.1007_s12597-024-00826-5
    DOI: 10.1007/s12597-024-00826-5
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    References listed on IDEAS

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    1. Rajiv Kumar Sharma & Dinesh Kumar & Pradeep Kumar, 2008. "Application of fuzzy methodology to build process reliability: a practical case," International Journal of Product Development, Inderscience Enterprises Ltd, vol. 5(1/2), pages 125-152.
    2. Akshay Kumar & S.B. Singh & Mangey Ram, 2020. "Systems reliability assessment using hesitant fuzzy set," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 38(1), pages 1-18.
    3. Amulya Kumar Mahto & Yogesh Mani Tripathi, 2020. "Estimation of reliability in a multicomponent stress-strength model for inverted exponentiated Rayleigh distribution under progressive censoring," OPSEARCH, Springer;Operational Research Society of India, vol. 57(4), pages 1043-1069, December.
    4. Parveen Kumari & M. S. Kadyan & Jitender Kumar, 2021. "Performance analysis of curd (Dahi) producing system of milk plant by using trapezoidal fuzzy numbers with different left and right heights," 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. 12(6), pages 1348-1361, December.
    Full references (including those not matched with items on IDEAS)

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