A Copula-Driven Framework for Optimizing the Performance of a Serial System with Inbuilt Redundancy

This study presents a new Copula-Driven Framework (CDF) aimed at improving the reliability and performance of serial system consisting of three subsystems each comprises of n units, which are essential to many industrial processes. The system is exposed to partial failure which is restored by general repair and completer or total failure which is restored by copula. Failures are assumed to follow an exponential distribution, whereas repair is assumed to follow one of the general or Gumbel-Hougaard family copulas. The system is investigated using supplementary variable and the Laplace transform. Profit analysis was derived by utilizing dependability parameters such as availability, reliability, and Mean Time to Failure (MTTF). The system has been investigated throughout the project. The computed results were displayed in a graph, and the value of the analysis was conveyed in the conclusion section.