Ch3_queue_theory-2008-4

Ch3_queue_theory-2008-4 - Queueing Theory (Delay Models)...

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Unformatted text preview: Queueing Theory (Delay Models) Sunghyun Choi Adopted from Prof. Saewoong Bahks material Network of Transmission Lines Tandem queues Two equal-capacity transmission lines in tandem Difficult to analyze Interarrival times at the 2 nd queue are strongly correlated with the packet lengths If all packets have equal length, i.e., M/D/1 at the 1 st queue, Interarrival times at the 2 nd queue 1/ There is no queueing delay at queue 2 If M/M/1 queue at the 1 st queue, the 2 nd queue cannot be M/M/1 queue Interarrival time at the 2 nd queue transmission time of the 2 nd packet at the 1 st queue The Kleinrock independence assumption Restore the independence of interarrival times and packet length at every queue (M/M/1) A reasonably good assumption for systems involving Poisson stream arrivals at the entry points Exponentially distributed packet lengths Densely connected network Moderate-to-heavy traffic loads At link (i,j), ave. number of packetsAt link (i,j), ave....
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Ch3_queue_theory-2008-4 - Queueing Theory (Delay Models)...

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