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20 Gbps link each user using 5Gbps when active<20% time the user is active>

Max. users that the network can be used by?
Using circuit switching?

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$\rightarrow$ Consider a time interval of  100 seconds.and it is divided into partition of 20 seconds like

${\color{Red} 2}{\color{Red} 0}{\color{Red}   s}{\color{Red} e}{\color{Red} c}$

${\color{Green} 2}{\color{Green} 0}{\color{Green}   s}{\color{Green} e}{\color{Green} c}$ ${\color{Cyan} 2}{\color{Cyan} 0}{\color{Cyan}   s}{\color{Cyan} e}{\color{Cyan} c}$ ${\color{DarkOrange} 2}{\color{ DarkOrange } 0}{\color{ DarkOrange }   s}{\color{ DarkOrange } e}{\color{ DarkOrange } c}$ ${\color{Orchid} 2}{\color{ Orchid } 0}{\color{ Orchid }   s}{\color{ Orchid } e}{\color{ Orchid } c}$

20% time the user is active

$\rightarrow$ In the ${\color{Red} 1^{st}}$ ${\color{Red} s}{\color{Red} l}{\color{Red}   o}{\color{Red} t}$ of ${\color{Red} 2}{\color{Red} 0}{\color{Red}   s}{\color{Red} e}{\color{Red} c}$

  • $User 1$ , $ User 2$ , $User 3$ , $User 4$ are active and each uses 5 Gbps 
  •  Together they use 5 Gbps + 5 Gbps+ 5 Gbps + 5 Gbps  = 20 Gbps for the ${\color{Red} 2}{\color{Red} 0}{\color{Red}   s}{\color{Red} e}{\color{Red} c}$ and after this they will become inactive for the rest 4 intervals of 20 seconds each i.e. for the next 80 seconds.

$\rightarrow$ In the next  ${\color{Green} 2^{nd}}$ ${\color{Green} s}{\color{Green} l}{\color{Green} o}{\color{Green} t}$ of  ${\color{Green} 2}{\color{Green} 0}{\color{Green}   s}{\color{Green} e}{\color{Green} c}$

  • $User 5$ ,$User 6$ ,$ User 7$ ,$ User 8$ are active and each uses 5 Gbps 
  •  Together they use 5 Gbps + 5 Gbps+ 5 Gbps + 5 Gbps  = 20 Gbps for the next ${\color{Green} 2}{\color{Green} 0}{\color{Green}   s}{\color{Green} e}{\color{Green} c}$ and after this they will become inactive for the next 4 intervals of 20 seconds each i.e. for the next 80 seconds.

$\rightarrow$ In the next ${\color{Cyan} 3^{rd} }$ ${\color{Cyan} s}{\color{Cyan} l}{\color{Cyan} o}{\color{Cyan} t}$   of  ${\color{Cyan} 2}{\color{Cyan} 0}{\color{Cyan}   s}{\color{Cyan} e}{\color{Cyan} c}$  

  • $User 9$ , $User 10$ , $User 11$ ,$User 12$ are active and each uses 5 Gbps 
  •  Together they use 5 Gbps + 5 Gbps+ 5 Gbps + 5 Gbps  = 20 Gbps for the next ${\color{Cyan} 2}{\color{Cyan} 0}{\color{Cyan}   s}{\color{Cyan} e}{\color{Cyan} c}$ and after this they will become inactive for the next 4 intervals of 20 seconds each i.e. for the next 80 seconds.

$\rightarrow$ In the ${\color{DarkOrange} 4^{th} }$ ${\color{DarkOrange} s}{\color{ DarkOrange } l}{\color{ DarkOrange }   o}{\color{ DarkOrange } t}$   of   ${\color{DarkOrange} 2}{\color{ DarkOrange } 0}{\color{ DarkOrange }   s}{\color{ DarkOrange } e}{\color{ DarkOrange } c}$

  • $User 13$ ,$ User 14$,$ User 15$ , $User 16$ are active and each uses 5 Gbps 
  •  Together they use 5 Gbps + 5 Gbps+ 5 Gbps + 5 Gbps  = 20 Gbps for the next ${\color{DarkOrange} 2}{\color{ DarkOrange } 0}{\color{ DarkOrange }   s}{\color{ DarkOrange } e}{\color{ DarkOrange } c}$ and after this they will become inactive for the next 4 intervals of 20 seconds each i.e. for the next 80 seconds.

$\rightarrow$ In the ${\color{Orchid} 5^{th} }$ ${\color{Orchid} s}{\color{ Orchid } l}{\color{ Orchid } o}{\color{ Orchid } t}$ of  ${\color{Orchid} 2}{\color{ Orchid } 0}{\color{ Orchid }   s}{\color{ Orchid } e}{\color{ Orchid } c}$  

  • $User 17$ ,$ User 18$ ,$ User 19$ , $User 20$ are active and each uses 5 Gbps 
  •  Together they use 5 Gbps + 5 Gbps+ 5 Gbps + 5 Gbps  = 20 Gbps for the next   ${\color{Orchid} 2}{\color{ Orchid } 0}{\color{ Orchid }   s}{\color{ Orchid } e}{\color{ Orchid } c}$ and after this they will become inactive for the next 4 intervals of 20 seconds each i.e. for the next 80 seconds.

$\rightarrow$ After  this again $User 1$ , $ User 2$ , $User 3$ , $User 4$ are active and each uses 5 Gbps  and the loop repeats.

$\therefore$ Max. users that the network can be used by is 20.

 

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