You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
72 lines
2.5 KiB
Java
72 lines
2.5 KiB
Java
/*
|
|
This is a java program to implement a standard fractional knapsack problem. It is an algorithmic problem in combinatorial optimization in which the goal is to fill a container (the “knapsack”) with fractional amounts of different materials chosen to maximize the value of the selected materials.
|
|
*/
|
|
|
|
//This is a sample program to implement a fractional knapsack problem
|
|
import java.io.IOException;
|
|
import java.util.Scanner;
|
|
|
|
class Fractional_Knapsack
|
|
{
|
|
public static void main(String args[]) throws IOException
|
|
{
|
|
int i,j=0,max_qty,m,n;
|
|
float sum=0,max;
|
|
Scanner sc = new Scanner(System.in);
|
|
int array[][]=new int[2][20];
|
|
System.out.println("Enter no of items");
|
|
n=sc.nextInt();
|
|
System.out.println("Enter the weights of each items");
|
|
for(i=0; i<n; i++)
|
|
array[0][i]=sc.nextInt();
|
|
System.out.println("Enter the values of each items");
|
|
for(i=0; i<n; i++)
|
|
array[1][i]=sc.nextInt();
|
|
System.out.println("Enter maximum volume of knapsack :");
|
|
max_qty=sc.nextInt();
|
|
m=max_qty;
|
|
while(m>=0)
|
|
{
|
|
max=0;
|
|
for(i=0; i<n; i++)
|
|
{
|
|
if(((float)array[1][i])/((float)array[0][i])>max)
|
|
{
|
|
max=((float)array[1][i])/((float)array[0][i]);
|
|
j=i;
|
|
}
|
|
}
|
|
if(array[0][j]>m)
|
|
{
|
|
System.out.println("Quantity of item number: " + (j+1) + " added is " +m);
|
|
sum+=m*max;
|
|
m=-1;
|
|
}
|
|
else
|
|
{
|
|
System.out.println("Quantity of item number: " + (j+1) + " added is " + array[0][j]);
|
|
m-=array[0][j];
|
|
sum+=(float)array[1][j];
|
|
array[1][j]=0;
|
|
}
|
|
}
|
|
System.out.println("The total profit is " + sum);
|
|
sc.close();
|
|
}
|
|
}
|
|
|
|
/*
|
|
Enter no of items
|
|
5
|
|
Enter the weights of each items
|
|
10 20 30 40 50
|
|
Enter the values of each items
|
|
5 4 3 2 1
|
|
Enter maximum volume of knapsack :
|
|
80
|
|
Quantity of item number: 1 added is 10
|
|
Quantity of item number: 2 added is 20
|
|
Quantity of item number: 3 added is 30
|
|
Quantity of item number: 4 added is 20
|
|
The total profit is 13.0
|