动态规划对于解决多阶段决策问题有明显效果。由于各种多阶段决策问题,往往具有不同的特点,比如,阶段有限或无限,一定或不定,时间参数离散或连续,决策过程确定或随机等,因此动态规划有多种模型。本文针对阶段数有限的离散确定性过程问...动态规划对于解决多阶段决策问题有明显效果。由于各种多阶段决策问题,往往具有不同的特点,比如,阶段有限或无限,一定或不定,时间参数离散或连续,决策过程确定或随机等,因此动态规划有多种模型。本文针对阶段数有限的离散确定性过程问题进行讨论。探讨其相应的逆推算法主要的数学思维,并进一步将相关知识点与思政教育相结合,拓展了动态规划逆推算法的理论体系。Dynamic programming has obvious effects on solving multi-stage decision-making problems. Since various multi-stage decision-making problems often have different characteristics, such as limited or unlimited stages, certain or indeterminate, discrete or continuous time parameters, and definite or random decision-making processes, so there are many models for dynamic programming. This article discusses the discrete deterministic process with a limited number of stages, discusses the main mathematical thinking of the corresponding reverse calculation algorithm, further combines the relevant knowledge points with ideological and political education, and expands the theoretical system of the dynamic programming reverse calculation algorithm.展开更多
文摘动态规划对于解决多阶段决策问题有明显效果。由于各种多阶段决策问题,往往具有不同的特点,比如,阶段有限或无限,一定或不定,时间参数离散或连续,决策过程确定或随机等,因此动态规划有多种模型。本文针对阶段数有限的离散确定性过程问题进行讨论。探讨其相应的逆推算法主要的数学思维,并进一步将相关知识点与思政教育相结合,拓展了动态规划逆推算法的理论体系。Dynamic programming has obvious effects on solving multi-stage decision-making problems. Since various multi-stage decision-making problems often have different characteristics, such as limited or unlimited stages, certain or indeterminate, discrete or continuous time parameters, and definite or random decision-making processes, so there are many models for dynamic programming. This article discusses the discrete deterministic process with a limited number of stages, discusses the main mathematical thinking of the corresponding reverse calculation algorithm, further combines the relevant knowledge points with ideological and political education, and expands the theoretical system of the dynamic programming reverse calculation algorithm.