A router has a buffer size of 100 packets. If the average packet arrival rate is 50 packets per second and the average packet service rate is 60 packets per second, what is the average queue length?
Q1. A router has a buffer size of 100 packets. If the average packet arrival rate is 50 packets per second and the average packet service rate is 60 packets per second, what is the average queue length?
Answer: 4.17 packets
Explanation: Using M/M/1 queue model, ρ = 50 / 60 = 5/6, average queue length = ρ / (1 - ρ) = (5/6) / (1/6) = 5, L = ρ² / (1 - ρ) + ρ = 25/6 = 4.17.