The current study examines the reliability and availability features of a fault-tolerant machine interference problem (FTMIP) with warm standbys, considering various service interruption strategies. The Chapman-Kolmogorov equations, which describe the states of the FTMIP, have been established for statistical analysis. The Laplace transformation is utilized in conjunction with Cramer’s method to demonstrate the solution. Additional performance indicators, namely MTTF and reliability component, are also illustrated for the reliability investigation. The availability analysis of the repairable system is conducted by integrating the Markov process and steady-state probabilities, which are derived as a solution to matrix equations. The novelty of the current research is the comparative investigation of developed queuing models based on reliability characteristics and machining system stability predictions, which is lacking in the state-of-the-art queuing literature so far. The recommended approach is further validated using numerical experiments that incorporate several parameters, demonstrating its practicality. In conclusion, tables and graphs are provided to overview the research findings based on MTTF, reliability function, and steady-state availability.