when the traffic intensity is close to 1, the average queueing delay increases to infinity. Consider...

   

Transcribed Image Text:

when the traffic intensity is close to 1, the average queueing delay increases to infinity. Consider a link whose link bandwidth is 1Mbps. The packet length L is fixed as 20,000 bits. Assume the arrival process to be Poisson process, the average packet arrival rate is 45 packets/s. Consider in a time duration of 1 s, a. What is the traffic intensity? b. What is the probability that the number of arrived packets in Is is 51? (Hint: If the average arrival rate (at) ke-at is , the probability of having k arrivals in time duration t is P(x-k) = -, k=0,1,2 ...) k! c. Write an equation for the probability of congestion (i.e., input rate is larger than output rate). when the traffic intensity is close to 1, the average queueing delay increases to infinity. Consider a link whose link bandwidth is 1Mbps. The packet length L is fixed as 20,000 bits. Assume the arrival process to be Poisson process, the average packet arrival rate is 45 packets/s. Consider in a time duration of 1 s, a. What is the traffic intensity? b. What is the probability that the number of arrived packets in Is is 51? (Hint: If the average arrival rate (at) ke-at is , the probability of having k arrivals in time duration t is P(x-k) = -, k=0,1,2 ...) k! c. Write an equation for the probability of congestion (i.e., input rate is larger than output rate).