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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 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.

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 ...

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