Question

A computer on a 10Mbps network is regulated by a token bucket. The token bucket is filled at a rate of 2Mbps. It is initially filled to capacity with 16Megabits. What is the maximum duration for which the computer can transmit at the full 10Mbps?
(A) 1.6 seconds
(B) 2 seconds
(C) 5 seconds
(D) 8 seconds

Answer 1

Answer on Question #37403 – Math - Other

Answer: (B)

New tokens are added at the rate of r bytes/sec which is

2Mbps in the given question.

Capacity of the token bucket (b) = 16 Mbits

Maximum possible transmission rate (M) = 10Mbps

So the maximum burst time = b/(M-r) = 16/(10⁻²-2) = 2 seconds

In the above formula, r is subtracted from M to calculate the maximum burst time. The reason for this subtraction is, new tokens are added at the rate of r while transmission happens at maximum transmission rate M.