Standby System Reliability Modeling with Cost and Sensitivity Analysis

Maintaining a reliable water treatment plant is paramount for a consistent and dependable supply of safe drinking water to communities. This study employs an integrated approach, leveraging advanced methodologies including Markov processes, supplementary variable technique, and Laplace transformation. The research seeks to comprehensively model the plant's dynamic behavior, transitions between operational states, and the influence of maintenance practices. By employing these methodologies, the research aims to enhance the precision of critical reliability metrics such as reliability and availability. The study further incorporates thorough cost analysis, shedding light on the economic implications of reliability-enhancing measures. Additionally, sensitivity analysis is employed to identify critical variables influencing plant performance and economic efficiency. The insights garnered from this study are expected to provide a sophisticated understanding of the water treatment plant's performance, fostering effective decision-making strategies to optimize maintenance protocols and ensure the uninterrupted delivery of clean and secure water to communities.