Consider a model of a computer CPU connected to m $1/0$ devices as shown in Figure $1.$ Jobs enter the system according to a Poisson process with rate A$,$ use the CPU, and with probability Pi$,$ i $=1...,$ m are routed to the ith I$/$O device, while with probability po they exit the system. The service time of a job at the CPU $($or the ith I$/$O device$)$ is exponentially distributed with mean $($or$,$ respectively$)$We assume that all job service times at all queues are independent $($including the times of successive visits to the CPU and I$/$O devices of the same job$)$Find the occupancy distribution of the system and construct an equivalent system with m $+1$ queues in tandem that has the same occupancy distribution.