本文實(shí)例講述了C語言實(shí)現(xiàn)運(yùn)籌學(xué)中的馬氏決策算法。分享給大家供大家參考,具體如下:
一、概述
馬氏決策(Markov decision)是馬爾可夫決策過程(Markov Decision Processes,簡(jiǎn)記為MDP)的簡(jiǎn)稱,是研究隨機(jī)序貫決策問題的一門重要理論。馬氏決策是一類可連續(xù)進(jìn)行觀察的隨機(jī)動(dòng)態(tài)系統(tǒng)的最優(yōu)化決策,它將(確定性)動(dòng)態(tài)規(guī)劃與馬爾可夫過程相結(jié)合,是隨機(jī)離散事件動(dòng)態(tài)系統(tǒng)惟一的動(dòng)態(tài)控制方法。
關(guān)于馬氏決策的具體說明可參考百度百科:https://baike.baidu.com/item/%E9%A9%AC%E6%B0%8F%E5%86%B3%E7%AD%96
二、實(shí)現(xiàn)代碼
#include<stdio.h>#include<cstdlib>#define N 100 float p[N][N],s[N][N],a[N],b[N];int o;void set_TPM() //輸入轉(zhuǎn)移概率矩陣(Transition Probability Matrix) { int i,j; printf("Please input Number of State:"); scanf("%d",&o); for(i=0;i<o;i++) for(j=0;j<o;j++) { printf("Please input state%d,state%d:",i,j); scanf("%f",&p[i][j]); rewind(stdin); }}void set_Initial_Prob() //輸入初始概率狀態(tài)(Initial Probability){ int i; for(i=0;i<o;i++) { printf("Please input state%d Initial Prob:",i); scanf("%f",&a[i]); rewind(stdin); }}void run_Markov(int count) //Markov主算法{ int i,j,k; float c[N]; for(i=0;i<o;i++) c[i]=a[i]; for(k=0;k<count;k++) { for(i=0;i<o;i++) for(j=0;j<o;j++) { s[i][j]=p[i][j]*c[i]; } for(i=0;i<o;i++) { b[i]=0; for(j=0;j<o;j++) { b[i]=b[i]+s[j][i]; } c[i]=b[i]; } } for(i=0;i<o;i++) c[i]=0;}void print_Result() //輸出周期結(jié)果{ int i,j; for(i=0;i<o;i++) for(j=0;j<o;j++) { printf(" %f",s[i][j]); if(j==2) printf("/n"); } for(i=0;i<o;i++) { printf(" %f",b[i]); } printf("/n");}main() //主函數(shù){ int a,count,i,j; for(count=0;;) { printf("Create New Project:/n"); set_TPM(); set_Initial_Prob(); for(;;) { printf("***********************************/n"); //展示選擇菜單 printf("1.Times periods from initial./n"); printf("2.Next Period./n"); printf("3.Create New Porject./n"); printf("4.Exit./n/n"); printf("**********************************/n"); printf("Please input your choose:/n"); scanf("%d",&a); rewind(stdin); if(a==3) break; switch(a) { case 1: printf("Input number of time periods from initial:/n"); scanf("%d",&count); rewind(stdin); run_Markov(count); print_Result(); break; case 2: run_Markov(count++); print_Result(); break; case 4: exit(1); default: printf("Error choose!!/n");break; } } } system("pause");}希望本文所述對(duì)大家C語言程序設(shè)計(jì)有所幫助。
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