3) In a DWDM system wavelengths can be assigned on demand. The system sends files with an average length of 2.2TB, file lengths are exponentially distributed. Each wavelength transmits at 100GB/s. A group of users generates 200 wavelength requests/hr. Time between requests are exponentially distributed.

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3) In a DWDM system wavelengths can be assigned on demand. The system sends files
with an average length of 2.2TB, file lengths are exponentially distributed. Each
wavelength transmits at 100GB/s. A group of users generates 200 wavelength requests/hr.
Time between requests are exponentially distributed.
a) The group is assigned a set of N wavelengths. How many wavelengths (N) are needed
to keep the blocking probability < 2%?
b) Plot Load = 1*(average holding time) as a function of the number of wavelengths
(N=4...21) for a blocking probability 2%. Hint: Use the Erlang B table.
Transcribed Image Text:3) In a DWDM system wavelengths can be assigned on demand. The system sends files with an average length of 2.2TB, file lengths are exponentially distributed. Each wavelength transmits at 100GB/s. A group of users generates 200 wavelength requests/hr. Time between requests are exponentially distributed. a) The group is assigned a set of N wavelengths. How many wavelengths (N) are needed to keep the blocking probability < 2%? b) Plot Load = 1*(average holding time) as a function of the number of wavelengths (N=4...21) for a blocking probability 2%. Hint: Use the Erlang B table.
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