Performance Modeling and Estimation of Serial System Exhibiting k-out-of-n: G Scheme with Controller Failure

The k-out-of-n system is a widely used concept in various fields. The significance of this system lies in its ability to ensure reliability, safety, and continuity of operation in various settings, including home appliances, military equipment, communication networks, and manufacturing systems. The system consists of two subsystems, each of which employs the k -out-of-n: G scheme. Our aim is to estimate the performance of a system that implements a k-out-of-n: G scheme with a controller using Copula's properties. This system is susceptible to two types of failures; partial and complete failures. If the system fails partially, it is repaired using General repair techniques while completely failed state is repaired using Copula repair techniques. The system is investigated using supplementary variable techniques and the Laplace transformation to obtain explicit expressions for availability, reliability, mean time to failure (MTTF), sensitivity, and expected profit functions, all of which are numerically validated. The outcomes/results are displayed in tables and figures, enabling us to draw the appropriate conclusions and offer recommendations. On the basis of numerical results, the conclusions were drawn. The findings of this study will aid maintenance managers in determining the appropriate time and technique for a system's maintenance.& COPY; 2023 Jordan Journal of Mechanical and Industrial Engineering. All rights reserved