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 Bahk’s 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/μ • 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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