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Unformatted text preview: (1-p × 1 / ( N-1)) N-2 , therefore the Pr (collision) = 1-(1-p × 1 / ( N-1)) N-2 Problem 3 Each packet traverses h hops. In a (2,2) ShuﬄeNet, h = 2. At each hop, the packet experiences a queueing delay and a transmission de-lay.The average transmission delay at each node is simply 1 /μ . The queueing delay can be found using a standard M/M/1 queueing model. The aggregate 1 arrival rate to an arbitrary node is given by: λ tot = 7 λ h . Thus, the queueing delay is given by: D q = λ tot /μ ( μ-λ tot ) . The total delay at each node, includ-ing the transmission delay is: D = 1 /μ-λ tot . Since each packet experiences an average of two hops, the average delay is given by: D avg = 2 D = 2 /μ-14 λ Problem 4 1. In the dedicated wavelength operation, we need 54 wavelengths and 6 in the shared channel operation. 2. The average number of hops is 2.17 3. The total network capacity is 24.88 2...
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- Spring '09
- Wavelength, Queueing theory, Georgia Institute of Technology, average transmission delay, LORRAINE GEORGIA INSTITUTE OF TECHNOLOGY School of Electrical and Computer Engineering ECE