American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2014, 2(1), 29-33
DOI: 10.12691/ajams-2-1-5
Open AccessArticle

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

U.A. Ali1, Saminu I. Bala2, 3 and Ibrahim Yusuf2,

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

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

3Department of Mathematics, Federal University, Dutse, Nigeria

Pub. Date: January 07, 2014

Cite this paper:
U.A. Ali, Saminu I. Bala and 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

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.

Keywords:
Mean time to system failure online preventive maintenance

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