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Load sharing M-out of-N: G system with non-identical components subject to common cause failure

Author

Listed:
  • Madhu Jain
  • Ritu Gupta

Abstract

This paper deals with the load sharing M-out of-N: G redundant system consisting of non-identical and non-repairable components. The components are removed from the system immediately after the failure and each of surviving components shares different amount of load. The components are assumed to have exponential life time distributions with different failure rates. For the solution purpose, Laplace transform technique is used to solve the system of differential equations. We provide a closed form analytical expression for the reliability and some other performances indices of the system. The validation of analytical results is also demonstrated by providing the numerical results.

Suggested Citation

  • Madhu Jain & Ritu Gupta, 2012. "Load sharing M-out of-N: G system with non-identical components subject to common cause failure," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(5), pages 586-605.
    • Handle: RePEc:ids:ijmore:v:4:y:2012:i:5:p:586-605
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    Citations

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    Cited by:

    1. Pramendra Singh Pundir & Puneet Kumar Gupta, 2018. "Reliability Estimation in Load-Sharing System Model with Application to Real Data," Annals of Data Science, Springer, vol. 5(1), pages 69-91, March.
    2. Nezakati, Ensiyeh & Razmkhah, Mostafa, 2020. "Reliability analysis of a load sharing k-out-of-n:F degradation system with dependent competing failures," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    3. Seyed Mohammad Mortazavi & Mahdi Karbasian & Sareh Goli, 2017. "Evaluating MTTF of 2-out-of-3 redundant systems with common cause failure and load share based on alpha factor and capacity flow models," 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. 8(3), pages 542-552, September.
    4. Sergey V. Gurov & Lev V. Utkin, 2015. "Reliability analysis of load-sharing m-out-of-n systems with arbitrary load and different probability distributions of time to failure," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 9(1), pages 21-35.
    5. Brown, Bodunrin & Liu, Bin & McIntyre, Stuart & Revie, Matthew, 2022. "Reliability analysis of load-sharing systems with spatial dependence and proximity effects," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    6. Gao, Shan, 2023. "Reliability analysis and optimization for a redundant system with dependent failures and variable repair rates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 637-659.
    7. He, Gang & Wu, Wenqing & Zhang, Yuanyuan, 2018. "Analysis of a multi-component system with failure dependency, N-policy and vacations," Operations Research Perspectives, Elsevier, vol. 5(C), pages 191-198.
    8. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2017. "Maintenance analysis of a two-component load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 67-74.

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