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A packet router receives a packet, stores the packet in a queue, and forwards the packet over an outbound link when the packet reaches the
A packet router receives a packet, stores the packet in a queue, and forwards the packet over an outbound link when the packet reaches the head of the queue. Assume the following: each packet has L bits, n traffic sources send packets to the router, each source generates packets at a rate of packets/sec. all arriving packets join the same queue, and the transmission rate of the outbound link is R bps (bits/sec) Using the M/M/1 model for queuing delays, answer the following questions (a) Give an algebraic expression for the average packet delay (queueing rans- (b) What is the average packet delay if L = 2 KBytes, R = 3 Mbits/sec, = 15 (c) Repeat the above part when n = 15 sources. mission) caused by the n traffic sources. packets/sec, and n = 10 sources? A packet router receives a packet, stores the packet in a queue, and forwards the packet over an outbound link when the packet reaches the head of the queue. Assume the following: each packet has L bits, n traffic sources send packets to the router, each source generates packets at a rate of packets/sec. all arriving packets join the same queue, and the transmission rate of the outbound link is R bps (bits/sec) Using the M/M/1 model for queuing delays, answer the following questions (a) Give an algebraic expression for the average packet delay (queueing rans- (b) What is the average packet delay if L = 2 KBytes, R = 3 Mbits/sec, = 15 (c) Repeat the above part when n = 15 sources. mission) caused by the n traffic sources. packets/sec, and n = 10 sources
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