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# Frame Arrival Rates: Example Problems

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Frames arrive randomly at a 100 Mbps channel for transmission. If the channel is busy when a frame arrives, it waits its turn in a queue. Frame length is exponentially distributed with a mean of 10,000 bits/frame. For each of the following frame arrival rates, give the delay experienced by the average frame, including both queuing time and transmission time.

a. 90 frames/sec
b. 900 frames/sec
c. 9000 frames/sec

Please explain all work.

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#### Solution Preview

The standard formula for Markov queuing is T = 1/(mu*C - lambda), where
1/mu = mean frame length
C = Channel capacity = 100*10^6 bits/second
lambda = arrival rate
Here 1/mu ...

#### Solution Summary

For each of the frame arrival rates, this solution provides the delay experienced by the average frame, including both queuing time and transmission time.

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