#include <iostream>
#include <fstream>
#include <algorithm>
using namespace std;
/*
p(i, d)表示前i个任务,截止时间为d的误时惩罚
p(i, d) = min{ p(i-1,d)+wi, p(i-1, min(d,di)-1) }
p(1, d) = 0 t1 <= d
p(1, d) = wi t1 > d
*/
const int INF = 100000;
const int MAX = 50;
struct Task
{
int d; //截止时间
int w; //误时惩罚
bool operator < (const Task &t)
{
return d < t.d;
}
};
Task task[50];
int p[MAX][200];
int min(int a, int b)
{
return a<b? a:b;
}
int greedy(int n)
{
sort(task, task+n); //按截止时间排序
int i, j;
int d = task[n-1].d;
for(i=0; i<n; i++)
for(j=0; j<=d; j++)
p[i][j] = INF;
for(j=0; j<=d; j++)
if(j >= task[0].d)
p[0][j] = 0;
else
p[0][j] = task[0].w;
for(i=1; i<n; i++)
{
for(j=0; j<=d; j++)
{
p[i][j] = p[i-1][j] + task[i].w;
int jj = min(j, task[i].d);
if(jj >= 1 && p[i-1][jj-1]<p[i][j])
p[i][j] = p[i-1][jj-1];
}
}
return p[n-1][d];
}
int main()
{
ifstream fin("任务时间表.txt");
cout << "输入任务数:";
int n;
fin >> n; cout << n;
cout << "\n输入完成任务截止时间:\n";
int i;
for(i=0; i<n; i++)
{
fin >> task[i].d;
cout << task[i].d << " ";
}
cout << "\n输入任务误时惩罚:\n";
for(i=0; i<n; i++)
{
fin >> task[i].w;
cout << task[i].w << " ";
}
cout << "\n最小误时惩罚为:" << greedy(n);
cout << endl;
cout << endl;
fin.close();
return 0;
}
任务时间表问题
最新推荐文章于 2024-04-23 15:30:14 发布