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Unformatted text preview: (1p × 1 / ( N1)) N2 , therefore the Pr (collision) = 1(1p × 1 / ( N1)) N2 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 delay.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 ( μλ tot ) . The total delay at each node, including the transmission delay is: D = 1 /μλ tot . Since each packet experiences an average of two hops, the average delay is given by: D avg = 2 D = 2 /μ14 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
 Boussert
 Wavelength, Queueing theory, Georgia Institute of Technology, average transmission delay, LORRAINE GEORGIA INSTITUTE OF TECHNOLOGY School of Electrical and Computer Engineering ECE

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