动态规划-装配线调度问题

本文主要是介绍动态规划-装配线调度问题，希望对大家解决编程问题提供一定的参考价值，需要的开发者们随着小编来一起学习吧！

具体题目详见《算法导论》第15章动态规划

/**利用动态规划解决装配线调度问题*配置文件名称是 StationInfo.txt*第一行为进入两条线各花费的时间*第二行为离开两条线个花费的时间*接下来六行为第一条线每个站点停留时间、每个站点到本线下一站点时间、每个站点到另一条线下一个站点时间*最后六行为第二条线的每个站点信息***          Author: StoryMonster*Last Change Date: 2016/5/25*/#include <iostream>
#include <stdio.h>#define FINISH_LOAD 7
typedef struct LoadStation
{int SelfLoadTime;               //在此装配站装配花费的时间int MoveOtherLineNextStaTime;   //移动到另一条装配线的下一个装配站需要的时间int MoveNextStaTime;            //移动到本条装载线的下一个装配站需要的时间  
} LoadStation;LoadStation line1_sta[6] = {0},line2_sta[6] = {0};
int e1 = 0,e2 = 0;              //e1 e2分别表示底盘进入装载线要花费的时间
int x1 = 0,x2 = 0;              //x1 x2分别表示汽车离开装载线要花费的时间，在本代码中认为每条线的第六个站切换到令一条线的时间等于从该线上退出的时间，即x1 == line1_sta[5].MoveOtherLineNextStaTimeint line1_time[6] = {0};
int line2_time[6] = {0};
int line1_path[6] = {0};
int line2_path[6] = {0};static bool LoadConfigFile();                           //读取配置文件
static void ShowConfigInfo();                           //展示各站点配置情况
static int  GetTheShortestTime(int StaIndex);           //获取到sta的最短时间,并展示路径
static void CreatTimeAndPathTable(int StaIndex);        //生成每个站点的最短时间表和最短路径表void CreatTimeAndPathTable(int StaIndex)                        
{line1_time[0] = e1+line1_sta[0].SelfLoadTime;line2_time[0] = e2+line2_sta[0].SelfLoadTime;int i = 1,j = StaIndex;while(i<j){//第一条装载线int time1 = line1_time[i-1]+line1_sta[i].SelfLoadTime + line1_sta[i-1].MoveNextStaTime;int time2 = line2_time[i-1]+line1_sta[i].SelfLoadTime+line2_sta[i-1].MoveOtherLineNextStaTime;line1_time[i] = (time1<time2)?time1:time2;line1_path[i] = (time1<time2)?1:2;//第二条装载线time1 = line1_time[i-1]+line2_sta[i].SelfLoadTime + line1_sta[i-1].MoveOtherLineNextStaTime;time2 = line2_time[i-1]+line2_sta[i].SelfLoadTime + line2_sta[i-1].MoveNextStaTime;line2_time[i] = (time1<time2)?time1:time2;line2_path[i] = (time1<time2)?1:2;i++;}
}
//纯递归获取最小的时间，书上不建议用这种方式，因为节点数非常大的时候这种方式花费的时间成本太高
//所以我写在这里只为一乐
int  GetTheShortestTime(int StaIndex,int lineIndex)
{if(StaIndex == 0){   if(lineIndex == 1) return e1;else return e2;}int time1 = 0, time2 = 0;                   //time1 第一条线上到上一个节点的最短时间  time2 第二条线上到上一个节点的最短时间if(StaIndex == FINISH_LOAD){time1 = GetTheShortestTime(6,1)+line1_sta[5].SelfLoadTime + x1;time2 = GetTheShortestTime(6,2)+line2_sta[5].SelfLoadTime + x2;}else{if(lineIndex == 1){time1 = GetTheShortestTime(StaIndex-1,1) +line1_sta[StaIndex-1].SelfLoadTime + line1_sta[StaIndex-1].MoveNextStaTime;time2 = GetTheShortestTime(StaIndex-1,2) +line2_sta[StaIndex-1].SelfLoadTime + line2_sta[StaIndex-1].MoveOtherLineNextStaTime;}else{time2 = GetTheShortestTime(StaIndex-1,2) + line2_sta[StaIndex-1].SelfLoadTime +line2_sta[StaIndex-1].MoveNextStaTime;time1 = GetTheShortestTime(StaIndex-1,1) + line1_sta[StaIndex-1].SelfLoadTime +line1_sta[StaIndex-1].MoveOtherLineNextStaTime;}}return (time1<time2)?time1:time2;
}bool LoadConfigFile()
{FILE *fp = fopen("StationInfo.txt","rb");if(!fp) return false;int i=0,line = 0,j=0;while(!feof(fp)){if(line == 0){fscanf(fp,"%d %d",&e1,&e2);line++;continue;}if(line == 1){fscanf(fp,"%d %d",&x1,&x2);line++;continue;}if(line < 8){line++;fscanf(fp,"%d %d %d",&line1_sta[i].SelfLoadTime,&line1_sta[i].MoveNextStaTime,&line1_sta[i].MoveOtherLineNextStaTime);i++;continue;}fscanf(fp,"%d %d %d",&line2_sta[j].SelfLoadTime,&line2_sta[j].MoveNextStaTime,&line2_sta[j].MoveOtherLineNextStaTime);j++;}fclose(fp);fp = NULL;return true;
}
void ShowConfigInfo(void)
{std::cout << "Configrature information:" << std::endl;std::cout << "Into line1 time:" <<e1<<"   Out line1 time:"<< x1<<std::endl;std::cout << "Into line2 time:" <<e2<<"   Out line2 time:"<< x2<<std::endl;std::cout << "Stations in line1(left: load time    middle: move to this line next station time     right: move to line2 time):"<<std::endl;for(int i=0;i<6;i++){std::cout << "station" << i+1 << ":" << line1_sta[i].SelfLoadTime << "  "<<line1_sta[i].MoveNextStaTime<<"  "<<line1_sta[i].MoveOtherLineNextStaTime <<std::endl;}std::cout << "Stations in line2(left: load time    middle: move to this line next station time     right: move to line1 time):" <<std::endl;for(int i=0;i<6;i++){std::cout << "station" <<i+1<<":"<<line2_sta[i].SelfLoadTime<< "  "<<line2_sta[i].MoveNextStaTime <<"  " <<line2_sta[i].MoveOtherLineNextStaTime<<std::endl;}}
int main()
{if(LoadConfigFile() == false){std::cout << "Open StationInfo.txt  failed!" << std::endl;return -1;}//ShowConfigInfo();CreatTimeAndPathTable(6);int time1 = line1_time[5]+x1;int time2 = line2_time[5]+x2;std::cout <<"the Shortest time:" << ((time1<time2)?time1:time2)<<std::endl;std::cout << "the best path:"<<std::endl;for(int i=1;i<6;i++){int iPath = line1_path[i];if(time2 < time1) iPath = line2_path[i];std::cout << i+1<<":"<<iPath<<std::endl;}return 0;
}