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M/M/1 for queueing delay A packet router receives a packet, stores the packet in a queue, and forwards the packet over an outbound link when
M/M/1 for queueing delay
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 + trans- mission) caused by the n traffic sources (b) What is the average packet delay if L 2 KBytes, R = 3 Mbits/sec, X 15 packets/sec, and n 10 sources? (c) Repeat the above part when n 15 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 + trans- mission) caused by the n traffic sources (b) What is the average packet delay if L 2 KBytes, R = 3 Mbits/sec, X 15 packets/sec, and n 10 sources? (c) Repeat the above part when n 15 sourcesStep by Step Solution
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