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leva [86]
3 years ago
5

Suppose users share a 1-Gbps link. Also, suppose each user requires 200 Mbps when transmitting, but each user only transmits 30

percent of the time.
a. (5 pts.) When circuit switching is used, how many users can be supported?



b. (5 pts.) For the remainder of this problem, suppose packet switching is used. What is the maximum number of users that can be supported if the required blocking probability is strictly less than 0.05 and what is the blocking probability with the determined maximum number of users?
Computers and Technology
1 answer:
V125BC [204]3 years ago
3 0

Answer:

The answer is "5 users and 1 block".

Explanation:

In Option a:

Bandwidth total = 1-Gbps \times 1000

                          = 1,000 \ Mbps      

Any User Requirement = 200 \ Mbps

The method for calculating the number of approved users also is:  

Now, calculate the price of each person for overall bandwidth and demands,  

\text{Sponsored user amount} = \frac{\text{Bandwidth total}}{\text{Each user's requirement}}

                                     =\frac{1000}{200}\\\\=\frac{10}{2}\\\\= 5 \ users

In Option b:

\text{blocking probability} = \frac{link}{\text{1-Gbps} = 10^9 \frac{bits}{sec}}

\ let = 0.05 = \frac{100}{20} \\\\\text{blocking probability} = \frac{ 200 \times 10^6}{\frac{100}{20}}

                                = \frac{ 200 \times 10^6 \times 20 }{100}\\\\= \frac{ 2 \times 10^6 \times 20 }{1}\\\\= 40 \times 10^6 \\\\

mean user = 25 \times \frac{1}{20} \\\\

                  = 1.25

max user = \frac{10^9}{40 \times 10^6} \\\\

                = \frac{10^9}{4 \times 10^7} \\\\ = \frac{10^2}{4} \\\\ = \frac{100}{4} \\\\= 25 \\\\ =\ \ 1 \ \ block \\\\

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Answer:

The program for this question can be given as:

Program:

import java.util.*;  //import package

public class TicketSeller  //define class

{

public static void main(String ar[])  //main method

{

int totalTickets=100,userCount=0,remainingTickets=100,numTickets; // varaibale

try           //try block

{

Scanner ob= new Scanner(System.in);  //input by user

System.out.println("Total Tickets:"+totalTickets);

while(remainingTickets!=0)          //loop

{

System.out.print("Enter no of Tickets to buy:");      //message.

numTickets=ob.nextInt(); //taking input

if(numTickets<=4)         //conditional statements.

{

if(remainingTickets>=numTickets)

{

remainingTickets=remainingTickets-numTickets;              //calculate remainingTickets

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}

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System.out.println("Invalid Input");

}

}

else

{

System.out.println("Invalid Input");

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Output:

Total tickets:100

Enter no of Tickets to buy: 4

Remaining tickets : 96 User :1

Enter no of Tickets to buy: 4

Remaining tickets : 92 User :2

Enter no of Tickets to buy: 4

Remaining tickets : 88 User :3

.

.

.

Enter no of Tickets to buy: 4

Remaining tickets : 0 User :25

Explanation:

In the above Program firstly we import the package for the user input. Then we declare the class that is (TicketSeller) given in question. In this class we declare the main method in the main method we declare the variable that is totalTickets, userCount, remainingTickets and numTickets .Then we use the exception handling. we use this for providing the validation from the user side that users don't insert value less the 4. In the exception handling, we use the multiple catch block with try block. Then we input from the user and calculate the values and in the last, we print all the values.

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