Evaluation of Reliability and Availability Characteristics of a Repairable System with Active Parallel Units - Open Journal of Applied Sciences

OJAppS > Vol.3 No.5, September 2013

Evaluation of Reliability and Availability Characteristics of a Repairable System with Active Parallel Units ()

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Download as PDF (Size: 744KB) PP. 337-344

DOI: 10.4236/ojapps.2013.35044 4,658 Downloads 7,276 Views Citations

Author(s)

Ibrahim Yusuf, Fatima Salman Koki

Affiliation(s)

Department of Mathematical Sciences, Bayero University, Kano, Nigeria.
Department of Physics, Bayero University, Kano.

ABSTRACT

In this paper, we study the reliability and availability characteristics of a repairable system consisting of two subsystems A and B in series. Subsystem A consists of two units A₁ and A₂ operating in active parallel while subsystem B is a single unit. Failure and repair times are assumed exponential. The explicit expressions of reliability and availability characteristics like mean time to system failure (MTSF), system availability, busy period and profit function are derived using Kolmogorov forward equations method. Various cases are analyzed graphically to investigate the impacts of system parameters on MTSF, availability, busy period and profit function.

KEYWORDS

Active Parallel; Reliability; Availability; Mean Time to System Failure

Share and Cite:

I. Yusuf and F. Koki, "Evaluation of Reliability and Availability Characteristics of a Repairable System with Active Parallel Units," Open Journal of Applied Sciences, Vol. 3 No. 5, 2013, pp. 337-344. doi: 10.4236/ojapps.2013.35044.

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