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Reliability and Availability Evaluation of a Series- Parallel System Subject to Random Failure


  • I. K. Gujral Punjab Technical University, Kapurthala-144603, Punjab, India
  • Department of Mechanical Engineering, I. K. Gujral Punjab Technical University, Kapurthala-144603, Punjab, India
  • Department of Mechanical Engineering, Lovely Professional University, Phagwara-144411, Punjab, India


Objective: To compute the reliability/availability of casting system, a part of steel industry with a view to increase its productivity. Methods/Analysis: The reliability of casting system of a steel industry, consisting of four units, has been computed using Supplementary Variable Technique (SVT) by keeping the failure rates constant and varying the repair rates. From the transition diagram of the casting system, Chapman-Kolmogorov differential equations have been developed using mnemonic rule which are further solved using Lagrange’s method. The transient state availability of the system has been computed by Runge-Kutta fourth order method using MATLAB. Mean Time Between Failures (MTBF) has been calculated numerically. Findings: Besides increasing the plant availability and hence production, the findings of this paper may help in maintenance planning and scheduling of the said system. Novelty/Improvement: Reliability of the casting system of a steel industry has not been discussed so far.


Lagrange’s Method, Runge-Kutta, Supplementary Variable Technique, MATLAB, MTBF

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