Mean Time to System Failure and Availability Modeling of a Repairable non Identical Three Unit Warm Standby Redundant System

  • Authors

    • kabiru suleiman department of mathematics, federal university,dutse.nigeria
    • Ibrahim Yusuf Bayero University, Kano
    • Saminu I. Bala Bayero University, Kano
    • Uba Ahmad Ali Usmanu Danfodio University, Sokoto
    2012-09-12
    https://doi.org/10.14419/ijbas.v1i4.413

  • In this study models for mean time to system failure and availability have been developed to study the effect of failure rate on some measures of system effectiveness. Using Chapman Kolmogorov’s forward equations methods, explicit expressions for measures of system effectiveness like mean time to system failure (MTSF) and availability have been obtained. Graphs were plotted to see the behavior of MTSF and availability of system. Also a special case like linear consecutive 2-out-of-3 system is considered to see the effect of failure rate on system design. Results have shown that three units warm standby is more effective that linear consecutive 2-out-of-3 system.

    Author Biographies

    • kabiru suleiman, department of mathematics, federal university,dutse.nigeria
      Department of Mathematics,Lecturer II
    • Ibrahim Yusuf, Bayero University, Kano
      Department of Mathematical Sciences, Lecturer II
    • Saminu I. Bala, Bayero University, Kano
      Department of Mathematical Sciences, Senior Lecturer
    • Uba Ahmad Ali, Usmanu Danfodio University, Sokoto
      Department of Mathematics, Reader

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  • How to Cite

    suleiman, kabiru, Yusuf, I., Bala, S. I., & Ali, U. A. (2012). Mean Time to System Failure and Availability Modeling of a Repairable non Identical Three Unit Warm Standby Redundant System. International Journal of Basic and Applied Sciences, 1(4), 523-533. https://doi.org/10.14419/ijbas.v1i4.413