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摘 要 Abstract The dynamic programming is a branch that it is multi-stage decision-making process of solving a mathematical optimization method .The so-called “dynamic” refers to the multi-stage in the decision-making .According to a particular sequence .every step of the decision-making choice ,the state will immediately cause the transfer of the final changes in the state have a decision-making sequence . Dynamic programming methods in engineering technology, enterprise management, industrial and agricultural production and have a wide range of sectors such as military applications, and the effect was remarkable. So it is an important decision in modern management methods .It has been increasing emphasis on the application. Firstly, in this paper, the background and the significance of the dynamic programming are made a brief narrative, and then so are the research content and purpose. Secondly, the dynamic programming is classified from the different view. And then according to the different types of decision-making process of dynamic programming, the basic theories, basic equation and the thoughts are representing briefly. Thirdly, according to the theory of dynamic programming, the optimal theorem and its corollary are provided, which deepen the understanding and practical significance of the dynamic programming. Finally based on different aspects of the classification of dynamic programming problem, practical dynamic programming in the different types of typical examples such as the production storage, mathematics examples, product production and financial investment are presented, which expounds the dynamic programming of the various applications in practical. Keywords:Dynamic programming,Principle of optimization ,Randomness multi-stage decision process,Trial production 目录第1章 绪论 1 1.1 导论 1 1.2选题背景 1 1.3 选题意义 2 1.4 课题研究内容、要求及目标 2 第2章 离散型动态规划问题 4 2.1离散型动态规划问题的基本概念 4 2.2动态规划问题的基本特征及其基本思想 6 2.2.1动态规划问题的基本特征 6 2.2.2 动态规划问题的基本思想 6 2.3 动态规划问题的基本方程 7 2.3.1动态规划问题的逆序解法
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