<p>This abstract presents a cost-benefit analysis of a repairable system consisting of three non-identical units. The system operates with one unit as a priority, while the other two non-identical units are in cold standby. In the event of the priority unit’s failure, the standby units becomes operational. The Markov approach is employed to formulate the system model, and transition probability equations are derived using the Chapman–Kolmogorov technique. The system is considered failed when all units fail, with failure and repair times modeled using a negative exponential distribution. The system equations are solved using the Laplace transform technique with Mathematica 12.30 software. Reliability measures, including reliability, Mean Time to System Failure (MTSF), availability, Mean Time to Repair (MTTR), and maintainability, are evaluated assuming all units identical. The study explores the graphical and numerical behavior of these measures and applies the findings to a real-life scenario in the context of an automobile compressed natural gas vehicle.</p>