Question

What is the total utilization of a circuit-switched network, accommodating five users with equal bandwidth share, and the following properties: Two users each using 63% of their bandwidth share. Two users each using 58% of their bandwidth share One user using 3% of their bandwidth share.Give answer in percent, with one decimal place (normal rounding) and no percentage sign (e.g. for 49.15% you would enter "49.2" without the quotes).

Answer 1

Answer: 49.0%

Explanation:

Given the total number of users = 5

Let the total bandwidth be 100 units

Each user share = 100/5 units = 20 units each

• 2 users are using 63% of their shared bandwidth:

This means 63% of 20 units = 0.63 *2*20 = 25.2

• 2 users are using 58% of their shared bandwidth:

This means 58% of 20 units = 0.58* 2* 20 = 23.2

• 1 user uses 3% of their bandwidth share:

This means 3% of 20 units = 0.03* 1* 20 = 0.6

Therefore, total amount of used bandwidth becomes = 25.2 + 23.2 + 0.6

Total bandwidth under usage = 25.2 + 23.2 + 0.6 = 49

Utilization becomes = (bandwidth under usage/ maximum bandwidth)*100

(49/100)*100 = 49%

I hope this helps, cheers.