The document contains a Java class named 'queuing' that calculates the factorial of a number and simulates the performance of a network based on user transmission speeds. It includes methods for computing factorials and estimating transmission probabilities, ultimately returning a string that describes the speed of users transmitting at a specific rate. The main method instantiates the class and prints the resulting calculations.

1. import java.util.*; public class queuing{ //get factorial int m = 20;//20 double b = .2;//.2
double p = .02;//.2 double prob = .05;//.5 int notque = 0; int not = 1-notque; double B
= 0; public static int factorial(int n) { if (n <= 1) { return 1; } else { return n *
factorial(n-1); } } public String math(){ while((1-notque) > prob){ B +=
.2;//.2 notque = 0; double n = Math.round(B/b); for(int i = 0; i<=n ;i++ ){
double mfact = factorial(m);// double nfact = factorial(i);// double
msns = factorial(m-i);// double nCr = (mfact)/(nfact*msns) ;//;nfact*factorial((int)msns)
double pow1 = Math.pow(p,i); double inactive = m-i; double pow2 =
Math.pow((1-p),inactive); notque += nCr * pow1 * pow2; } } return
"speed of " + B + " users " + m + " transmitting at " + b + " Mbps " + Math.round(p*100);
} public static void main(String []args){ queuing x = new queuing();
System.out.println(x.math()); } }
Solution
import java.util.*; public class queuing{ //get factorial int m = 20;//20 double b = .2;//.2
double p = .02;//.2 double prob = .05;//.5 int notque = 0; int not = 1-notque; double B
= 0; public static int factorial(int n) { if (n <= 1) { return 1; } else { return n *
factorial(n-1); } } public String math(){ while((1-notque) > prob){ B +=
.2;//.2 notque = 0; double n = Math.round(B/b); for(int i = 0; i<=n ;i++ ){
double mfact = factorial(m);// double nfact = factorial(i);// double
msns = factorial(m-i);// double nCr = (mfact)/(nfact*msns) ;//;nfact*factorial((int)msns)
double pow1 = Math.pow(p,i); double inactive = m-i; double pow2 =
Math.pow((1-p),inactive); notque += nCr * pow1 * pow2; } } return
"speed of " + B + " users " + m + " transmitting at " + b + " Mbps " + Math.round(p*100);
} public static void main(String []args){ queuing x = new queuing();
System.out.println(x.math()); } }