# Vol. 40, No. 4 (2017) (10)

## Numerical Analysis of Reliability and Availability of a Complex Repairable System

Author(s):
Munish Mehta†, Jujhar Singh, Manpreet Singh

Affiliation(s):

†I. K. Gujral Punjab Technical University, Kapurthala, Punjab, 144603, India,
‡Deptt. of Mechanical Engineering, I. K. Gujral Punjab Technical University, Kapurthala, Punjab, 144603, India
§Deptt. of Mechanical Engineering, Lovely Professional University, Phagwara, Punjab, 144411, India
Cite this paper
Munish Mehta†, Jujhar Singh, Manpreet Singh, “Numerical Analysis of Reliability and Availability of a Complex Repairable System”, Journal of Mechanical Engineering Research and Developments, vol. 40, no. 4, pp. 619-632, 2017. DOI: 10.7508/jmerd.2017.04.010

ABSTRACT: The purpose of this paper is to compute the reliability/availability of melting system of a steel industry with a view to increase its productivity. Using mnemonic rule, Chapman-Kolmogorov differential equations have been developed from the transition diagram keeping the failure rate constant and varying repair rates by applying supplementary variable technique (SVT). Lagrange’s method has been employed to solve these equations. MATLAB software package has been used to compute the transient state availability of the system by Runge-Kutta fourth order method. Mean time between failure (MTBF) has been calculated using Simpson’s 3/8 rule. The outcomes of current study may lead to increased plant availability resulting in more production. It may also help the plant management in futuristic maintenance planning and scheduling of the system.

Keywords : Reliability; Availability; Supplementary variable technique; Runge-Kutta; MTBF

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