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

DOI:

https://doi.org/10.14419/ijbas.v1i4.413

Published:

2012-09-12

Abstract

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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