Reliability Modelling and Analysis of Redundant Systems Connected to Supporting External Device for Operation Attended by a Repairman and Repairable Service Station

Ibrahim Yusuf^1*, Rabia Salihu Said², Fatima Salman Koki², Mansur Babagana³

¹Department of Mathematical Sciences, Bayero University, Kano, Nigeria.
²Department of Physics, Bayero University, Kano, Nigeria.
³Department of Computer Science and Information Technology, Bayero University, Kano, Nigeria.

DOI: 10.4236/jamp.2014.213145                

Abstract

In this paper, probabilistic models for three redundant configurations have been developed to analyze and compare some reliability characteristics. Each system is connected to a repairable supporting external device for operation. Repairable service station is provided for immediate repair of failed unit. Explicit expressions for mean time to system failure and steady-state availability for the three configurations are developed. Furthermore, we compare the three configurations based on their reliability characteristics and found that configuration II is more reliable and efficient than the remaining configurations.

Keywords

Availability, Supporting Device, Service Station, Redundancy

Conflicts of Interest

The authors declare no conflicts of interest.

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