Evaluation of System Reliability by Considering Multiple Failures and Repair Delays

This study examines a series-parallel system’s dependability under several failure scenarios that represent actual operational difficulties. The analysis considers catastrophic events, dependent failures brought on by common causes, human error in operation or repair, partial failure, and the impact of waiting time prior to repair procedures. System dependability is measured using a probabilistic model that takes into account the multistate nature and temporal elements of failures. By showing how individual and combined failure modes lower total system effectiveness, the results help reliability planners and engineers create more robust systems with inherent allowances for human and repair-based uncertainty. Applying Markov process, Laplace transformation and supplementary variable technique (SVT), reliability measurements such as reliability, availability, mean time to failure (MTTF), and system sensitivity are evaluated. Additionally, a few graphical representations have been provided to illustrate the model’s effectiveness.