Stochastic Modeling of A Non Maintained System With Two Stages of Deterioration


  • Ibrahim Yusuf Bayero University, Kano, Nigeria





This paper presents the reliability and mean time to failure estimation of a deteriorating system that deteriorates with time. The system is two unit active parallel system where the units operates simultaneously. In this study maintenance is not allowed to the system.  Laplace transforms is being utilize to solve the mathematical model developed. Expressions for reliability and Mean time to failure (MTTF) have been computed. The objective is to see the effect of deterioration rates on system reliability and MTTF of a non maintained system. It also the objective of this study to see the effect of time on system reliability. Graphical study of the system through reliability and MTTF is obtained to highlight important results. The results have shown that reliability and MTTF of non maintained system decrease as time and deterioration rates increase. Models developed in this paper are important to engineers, maintenance managers, and plant management for proper maintenance decision and for safety of the system as a whole.

Author Biography

Ibrahim Yusuf, Bayero University, Kano, Nigeria

Department of Mathematical Sciences

Lecturer II

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