Token Bucket

Question

Imagine a flow specification that has the maximum packet size 800 bytes, token bucket rate of $5 \times 10^{6}$ bytes/sec. Token bucket size is 1 million byte and the maximum transmission rate 10 million bytes/sec. How long can a burst be send at maximum speed?

Answer 1

Token bucket size$=10^{6}$ $byte$ which i consider was initially filled as nothing mentioned in the otherwise we don’t send the data at maximum outgoing speed which the question asked.

Token arrival Rate $= 5 *10^{6}$ $MBPS$

Maximum output rate $= 10 *10^{6}$ $MBPS$

Let for t sec we can send the burst at maximum speed.

So,

$10^{6}+5*10^{6}*t=10*10^{6}*t$

or,$1+5t=10t$

or,$t=0.2$ sec

So, for $0.2$ sec we can achive this maximum speed