Threshold N-policy for machine interference problem with additional repairman and spares under Bernoulli vacation schedule

This research deals with machine interference problem with additional repairman and warm standby under Bernoulli vacation schedule. Moreover, threshold N-policy is considered for controlling the vacation period of repairman. The first repairman opt a vacation with probability ‘q’ whereas with probability ‘p=1-q’ he would like to stay in the system and continue repair to the next failed machine. On the other hand, the second repairman takes the vacation when the number of failed machine is less than ‘N’. After completion of vacation, if second repairman finds ‘N’ or more failed machine available in the system he instantly stops his vacation and repair the failed machines otherwise he may go for another vacation. Various performance measures are determined using Runge-Kutta (RK) method. Sensitivity analysis is also performed.