In the M/M/s/s (loss system) show that in the long run L = ?[1 – PB where L = long run expected number of customers in the system; ? = arrival rate/service rate P B = Prob. that an arriving customer...

In the M/M/s/s (loss system) show that in the long run L = ?[1 – PB where L = long run expected number of customers in the system; ? = arrival rate/service rate P B = Prob. that an arriving customer is blocked from entering the system. Compare the system idle time probability (p0) in the three systems (1) M/M/s/s, (2) M/M/s, and (3) M/M/8 and show that p (1) 0 > p (2) 0 andp (3) 0 > p (2) 0 .