Consider an 8 x 8 Banyan network. The incoming traffic is i.i.d. (independent and identically distributed). Each input of a switching element has an input buffer which may in maximum hold one packet. If a collision occurs, a winner will be randomly chosen. Throughput is referring to the per output port throughput. Develop a mathematical model to derive the throughput for this switching network. Please also give the throughput when the traffic load is 0.6