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Wang, K.H and Kuo, C.C. (2000). Cost and probabilistic analysis of series systems with mixed standby components. Applied Mathematical Modelling, 24, 957-967.

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Article

Evaluation of Mean Time to System Failure of a Repairable 3-out-of-4 System with Online Preventive Maintenance

1Department of Mathematics, Usmanu Danfodio University, Sokoto, Nigeria

2Department of Mathematical Sciences, Bayero University, Kano, Nigeria

3Department of Mathematics, Federal University, Dutse, Nigeria


American Journal of Applied Mathematics and Statistics. 2014, Vol. 2 No. 1, 29-33
DOI: 10.12691/ajams-2-1-5
Copyright © 2014 Science and Education Publishing

Cite this paper:
U.A. Ali, Saminu I. Bala, Ibrahim Yusuf. Evaluation of Mean Time to System Failure of a Repairable 3-out-of-4 System with Online Preventive Maintenance. American Journal of Applied Mathematics and Statistics. 2014; 2(1):29-33. doi: 10.12691/ajams-2-1-5.

Correspondence to: Ibrahim  Yusuf, Department of Mathematical Sciences, Bayero University, Kano, Nigeria. Email: Ibrahimyusuffagge@gmail.com

Abstract

Most of the literature assumed that systems undergo preventive maintenance. Little literature is found on whether the preventive maintenance is online or offline. It is known that most of the engineering systems undergo both online and offline preventive maintenance. In this paper, we studied the mean time to system failure of a repairable redundant 3-out-of-4 system with online preventive maintenance involving four types of failures. We develop the explicit expressions for mean time to system failure for the system using Chapman-Kolmogorov equations. Various cases are analyzed graphically to investigate the impact of system parameters on mean time to system failure. Results have shown that system with online preventive maintenance is better in terms of mean time to system failure of system than system without preventive maintenance.

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