average packet size is 8000 bits/packet.

Hosts A generates a Poisson packet stream (Stream A) with a rate of 80 Kbits/sec (Kbps). Packet sizes are

exponentially distributed. Packets are sent to destination Host X with a probability of 0.4 and to destination

Host Y with a probability of 0.6

Router R1s outgoing port to Host X has C3=200Kbps link capacity. R1 applies statistical multiplexing. It

is observed that the average of the total number of packets in R1 is 1.8 packets.

Router R2s outgoing port to Host Y has C4=200Kbps link capacity. R2 applies static multiplexing on its

outgoing link of 200Kbps. It allocates 2/5 of its capacity to Stream A and 3/5 of its capacity to Stream C.

A) What is the average delay of a packet from Host A to Host X?

B) What is the average delay of a packet from Host A to Host Y?

Stream B: 40 Kbps Host B Port 1 C1-80 Kbps Port 3: C3-200 Kbps Host X Router R1: Statistical Multiplexing Stream A: 80 Kbps Host A Port 4 C4-200 Kbps Port 2: Router RC2-160 Kbps Host Y Router R2: Stream C TDM 80Kbits/s Host C Stream B: 40 Kbps Host B Port 1 C1-80 Kbps Port 3: C3-200 Kbps Host X Router R1: Statistical Multiplexing Stream A: 80 Kbps Host A Port 4 C4-200 Kbps Port 2: Router RC2-160 Kbps Host Y Router R2: Stream C TDM 80Kbits/s Host C