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A node $X$ on a $10$ Mbps network is regulated by a token bucket. The token bucket is filled at a rate of $2$ Mbps. Token bucket is initially filled with $16$ megabits. The maximum duration taken by $X$ to transmit at full rate of $10$ Mbps is ______secs.

  1. $1$   
  2. $2$ 
  3. $3$
  4. $4$
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We will solve this in “Conceptual Way”.

Basically Initially the Bucket has 16Mb .

Now a Bulk of data appears and we can given them Token Directly (Required Time =0)

These 16Mbits can be send in 10Mb/sec.

That Will need 1.6 secs.

Now, In this 1.6 secs We can create “Tokens”  at a speed of 2Mbps

So, In 1.6 sec we can create 3.2Mbits tokens

To transfer it in The 10Mbps we need .32 secs 

Again in .32 sec we can create .64 Mbits 

that can be send in .032 secs

In this Way we can proceed but the time Will be too smaller 

And Finally the Time at which Highest Speed can be Used Becomes (1.6+0.32+0.032+…..)secs 

Finally 2 secs.

 

 

 

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Assume for t sec it maintains max o/p rate

So, 16+2t=10t

So , t=2sec . So for 2sec it will transmit at full rate.
Answer:

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