Question: when the traffic intensity is close to 1, the average queueing delay increases to infinity. Consider a link whose link bandwidth is 1Mbps. The

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).

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