动态规划

We derive the optimal input and service feedback control policy by using the uniformization technique and stochastic dynamic programming.

对于具有随机输入和随机需求的一类不可靠柔性制造系统，利用转移率一致化技术和随机动态规划方法，给出了输入率和服务率分配的最优反馈控制策略，指出系统的最优控制具有bang bang形式的开关结构，数值例子验证了文中的结

The optimal task control strategy of the manufacturing cell is obtained by the combination of the uniform technology and the stochastic dynamic programming. The simulation results tesity the feasibility and validity of the control strategy.

结合一致化技术和随机动态规划的方法，得到知识化制造单元的最优任务控制策略；仿真结果表明了所求得的控制策略是可行和有效的。

Knowledgeable manufacturing cell, matrix-automaton, stochastic dynamic programming, control strategy.

知识化制造单元，矩阵自动机，随机动态规划，控制策略。

Mould and die manufacturing ; stochastic dynamic programming ; Markov chains ; heuristic policies ; simulation ; Q-learning

模具制造；随机动态规划；马尔可夫链；启发式策略；仿真； Q学习

Taking the overconfidence as an important cognitive bias into the consideration of classical optimal consumption and investment problem,an optimal consumption and investment model is set up with incomplete information.Then,an optimal consumption and investment strategy is given by use of stochastic dynamic programming theory.

将行为金融理论中过度自信这一重要的认知偏差纳入经典的最优消费投资问题中考虑，建立了部分信息下的最优消费投资决策模型，并运用随机动态规划原理得到了最优消费投资策略。

Quasi Hamiltonian system; nonlinear stochastic optimal control; robustness; robust control; parametric uncertainty; uncertain disturbance; Bouc-Wen hysteretic system; Preisach hysteretic system; minimax optimal control; stochastic stabilization; stochastic averaging method; stochastic dynamical programming principle; stochastic differential game; maximal Lyapunov exponent

国家自然科学基金；拟Hamilton系统；非线性随机最优控制；鲁棒性；鲁棒控制；参数不确定性；不确定扰动； Bouc-Wen滞迟系统； Preisach滞迟系统；极小极大最优控制；随机稳定化；随机平均法；随机动态规划原理；随机微分对策；最大Lyapunov指数

Finally, the paper compares chaos algorithm with genetic algorithm and dynamic programming successive approximation in detail and the outcome indicates that the method is simple ,convenient and accurate.

实例计算分析表明，与遗传算法、动态规划逐次逼近法相比，混沌优化算法具有原理简单、计算简便、结果精度高的优点。

The problem has been studied from two sides, firstly, from the viewpoint of applicability, based on the development strategic objectives of the oil company, with the aim to unify the exploration and extraction decisions of the resources in an integrated framework, and integrate the macro economic and technical objectives with micro economic and technical models of an oil well, an integrated non-linear dynamic optimal control model has been constructed, the objective is the benefit maximum of the exploration and extraction of the resources, and the optimalstrategies are obtained by changing the problem into a non-linear mathematical programming problem, on the other hand, from the more macro level, based on the analysis of the characteristics of the exploration and extraction activities of oil and gas resources, a conclusion is easily deduced that the procedure is full of randomicity, then discovering procedure of oil deposit is proved to be a Poisson process, and the reserves process is a supermartingale process, so the model of exploration discovery rate and the reserves model could be constructed.

其次从相对更宏观的层次上，通过对油气资源勘探与开发的特点分析，认为具有很强的随机性，证明了勘探活动发现油气藏的过程为一泊松过程，所发现的油气藏储量为一上鞅过程，在此基础上，建立了油气藏勘探发现率模型及储量模型，在油气价格服从几何布朗运动条件下，以油气开采收益最大化为目标，建立了一个油气资源勘探与开发的随机最优控制模型，采用动态规划方法得到了值函数的HJB方程，并针对方程的特点，以及方程及其变量所对应的经济学意义，对最优策略的求解进行了一些讨论。

This paper also studied the decision of new technology investment of enterprises in the competitive market, and built a model of the option games of technology investment by the theory of option games and dynamic programming, induced the optimal timing of technology investment in the two enterprises environment.

基于期权博弈理论和动态规划的方法，建立了技术投资期权博弈模型，推导出了两企业的最佳投资时机。

The TTT Taxi Service in Tehran is required to deliver some magazines to N locations in Tehran.

这是一个动态规划的题目，这个题目我用的是三维数组保存状态的方法实现的。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。