ABSTRACT
This chapter treats the Markovian machine interference problem with standby provisioning and random switching failure. We consider working vacation and vacation interruption under threshold policy for maintaining continuous repair facilities available. At the instant of repair completion, to lessen expected service costs, the server goes for a working vacation of random length on finding no failed machine in the system to be repaired. The vacation period is interrupted once all available spare machines are exhausted. Due to the long waiting queue, the caretakers of failed machines may show synchronized impatience behavior and may opt for random reneging from the system following binomial distribution. Using the Successive over-Relaxation (SoR) method, we obtain the steady-state probabilities and performance measures for this system. Further, we present an optimal analysis using Quasi-Newton optimisation method. Finally, several numerical examples are presented along with a conclusion and future scope.
