STEADY-STATE AVAILABILITY AND PROBABILITIES OF M/G/1 SYSTEM WITH IMPERFECT COVERAGE PROBABILITY

One of the most difficult factors in the effective installation of a service system is the availability of a continuous power source. We examine a fault-tolerant power generating system of finite operational units with warm standby unit provisioning in this work. Each operational and standby unit's time-to-failure is considered to be exponentially distributed. The time-to-repair for the failing units by the single service facility follows the arbitrary distribution. For modeling purpose, we also included real operating behaviors such as imperfect coverage of unit failure, switching failure of standby unit, reboot delay, switch over delay, and so on. The one and only input required for the assessment of the explicit equation for the system's steady-state probability is the repair time distribution's Laplace-Stieltjes transform (LST). The numerical findings for the following repair time distributions are presented: exponential (M), n-stage Erlang (Ern), and deterministic (D). Concluding evaluations are also provided.