M Machines, One Repairman (M/M/1/M)
This chapter explores a system with a limited number of units in the input population, like M machines in a shop that occasionally require service from one repairman. The inter-arrival time per unit and the service times are exponential. This could be a firm with five copy machines and one repairman. The probability on the number of units in the system is derived, and the performance measures of the system are developed. Examples are presented.