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A Study On A Two Unit Standby System With Erlangian Repair Time

Author

Listed:
  • P. CHANDRASEKHAR

    (Department of Statistics, Loyola College, Chennai 600 034, India)

  • R. NATARAJAN

    (Department of Mathematics, Presidency College, Chennai 600 005, India)

  • V. S. S. YADAVALLI

    (Department of Industrial and Systems Engineering, University of Pretoria, South Africa)

Abstract

A two-unit cold standby system is considered. The failure rate of a unit is a constant and the repair time distribution is a two-stage Erlang distribution. Measures of system performance such as reliability, mean time before failure, system availability, and steady-state availability are derived. Also, a consistent asymptotically normal estimator and a 100(1-α)% asymptotic confidence interval for the steady-state availability of the system are obtained.

Suggested Citation

  • P. Chandrasekhar & R. Natarajan & V. S. S. Yadavalli, 2004. "A Study On A Two Unit Standby System With Erlangian Repair Time," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 271-277.
    • Handle: RePEc:wsi:apjorx:v:21:y:2004:i:03:n:s0217595904000242
    DOI: 10.1142/S0217595904000242
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    Citations

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    Cited by:

    1. Hsu, Ying-Lin & Ke, Jau-Chuan & Liu, Tzu-Hsin, 2011. "Standby system with general repair, reboot delay, switching failure and unreliable repair facility—A statistical standpoint," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2400-2413.
    2. 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.
    3. 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.

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