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Some inferences on reliability measures of two-non-identical units cold standby system waiting for repair

Author

Listed:
  • Rohit Patawa

    (University of Allahabad)

  • Pramendra Singh Pundir

    (University of Allahabad)

  • Alok Kumar Sigh

    (Raja Balawant Singh College)

  • Abhinav Singh

    (Banaras Hindu University)

Abstract

This article scrutinizes the behavior of a two dissimilar units cold standby repairable system with waiting time facility. The time to failure for each of the units is exponentially distributed with different failure rates whereas the repair time distributions of both the units follow one parameter Lindley distribution with different repair rates. The waiting time distribution for both the units is identically one parameter Lindley distribution. Unknown parameters, that are used to evaluate the measures of system effectiveness such as MTSF and steady-state availability, have been estimated by using maximum likelihood approach and Bayesian approach under different types of priors. A simulation study at the end exhibits the behavior of such a system. The Monte-Carlo technique is employed to draw observations for this simulation study.

Suggested Citation

  • Rohit Patawa & Pramendra Singh Pundir & Alok Kumar Sigh & Abhinav Singh, 2022. "Some inferences on reliability measures of two-non-identical units cold standby system waiting for repair," 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. 13(1), pages 172-188, February.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:1:d:10.1007_s13198-021-01188-7
    DOI: 10.1007/s13198-021-01188-7
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    References listed on IDEAS

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    1. Jae-Hak Lim & Sang Wook Shin & Dae Kyung Kim & Dong Ho Park, 2004. "Bootstrap Confidence Intervals For Steady-State Availability," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 407-419.
    2. Leung, Kit Nam Francis & Zhang, Yuan Lin & Lai, Kin Keung, 2011. "Analysis for a two-dissimilar-component cold standby repairable system with repair priority," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1542-1551.
    3. Liu, Baoliang & Cui, Lirong & Wen, Yanqing & Shen, Jingyuan, 2015. "A cold standby repairable system with working vacations and vacation interruption following Markovian arrival process," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 1-8.
    4. Ke, Jau-Chuan & Chang, Chia-Jung & Lee, Wen-Chiung, 2018. "An availability-based system with general repair via Bayesian aspect," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 247-265.
    5. Hsu, Ying-Lin & Lee, Ssu-Lang & Ke, Jau-Chuan, 2009. "A repairable system with imperfect coverage and reboot: Bayesian and asymptotic estimation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(7), pages 2227-2239.
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