Abstract:
The present investigation deals with a multi-component machining system operating under
N-policy. There is a provision of k type of mixed standbys units and maintenance crew consisting of
permanent repairman as well as removable additional repairmen. The life time and repair time of the
units are exponentially distributed with interdependent rates. The permanent repairman can start the
repair only when N failed units are accumulated in the system. As soon as a unit fails, it is replaced
by an available standby unit. In case when all the standby units are exhausted, the machining system
starts to function in a degraded mode due to overload. Markov model is developed by constructing
the governing transient state equations which are solved by using Runge−Kutta method. Various
performance measures viz. queue size distribution, expected number of failed units, cost function, etc.
are evaluated. By taking numerical illustration, numerical results are computed and also depicted with
the help of graphs and figures