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The optimal models and algorithms for making up pairs and non-pairs locomotive turn-around diagram are given out. Specially, a more efficient way to consider both the optimum and the equilibrium of this problem is also presented as follows: at first formulate the network flow model of this problem and solve it by the method of the minimal cost flow and then use the labeling method to readjust the solution.

对成对和不成对机车周转图编制问题进行了探讨,给出了其最配置的数学模型和算法;在此基础上,提出了把均衡性与最化综合考虑的不成对机车周转图的改进算法——首先建立网络流模型用最小费用流算法求得问题的初始最解,然后用标记法对该解进行调整,使其在最的基础上达到均衡。

Our analysis framework relies on the reflected Backward Stochastic Differential equation approach.We characterize the value functions of the noncallable bonds in terms of the reflected Backward Stochastic Differential equation,Then the relationship between the value function of convertible bonds and reflected backward stochastic differential equations with single reflect is built at the same time,and provide the optimal conversion strategy for bondholders.2:We get the value of non-callable convertible bonds by numerical methods.

探讨了可转换债券的最停时价值与带反射边界倒向随机微分方程解的关系,在市场完备,公司价值只包括股权和可转债这两种权益等各种假定下,给出不可赎回可转换债券的价值函数,证明了不可赎回可转换债券的最停时问题的解是存在的,同时给出了其最的转换策略。2:通过数值方法求解不可赎回可转换债券的价值。

The relation between the nondegeneracy of their primal-dual optimal solutions and their strictly complementary optimal solutions is characterized, and then the conditions in which the solutions of a pair of primal and dual conic programmings are unique respectively are obtained.

从几何的观点描述一对原始-对偶锥规划可行域的极点,给出原始-对偶非退化的最解与严格互补的最解之间的关系,从而得到锥规划最解唯一的条件。

The third chapter is about the optimal control for a class of age-dependent competitive population dynamics with diffusion, the continuity properties of the system solution in terms of the control variable is certificated, the Normal cone theory is applied and the necessary conditions of optimal control problem is obtained.

第三章研究了一类年龄相关的具有空间扩散的竞争种群系统最控制问题,证明了最解关于控制变量的连续依赖性,应用法锥理论,得到了最解的必要条件。

The excellent and good rate was 81.8% for JOA score (excellent in 4 cases, good in 14 cases, fair in 4 cases), 77.3% for MacNab criteria (excellent in 4 cases, good in 13 cases, fair in 5 cases) and 90.9% for ODI index (excellent in 3 cases, good in 17 cases, fair in 2 cases).

JOA 评分:4 例,良14 例,中4 例,良率为81.8%;MacNab 疗效评价:4 例,良13 例,中5 例,良率为77.3%;ODI 指数评价:3 例,良17 例,中2 例,良率为90.9%。

Optimal control of electrohydraulic position servo system is designed by using optimal control theories and Riccati equation.

应用最控制理论和黎卡提方程对电液位置伺服系统进行最控制的设计,得出最控制系统的闭环传递函数,并结合算例,绘制出该系统的波德图,算例表明了该方法的有效性和工程实用性。

Based on these analytical solutions, the equations of the optimal transfer trajectory are obtained, and the relationship among this trajectory, the desired relative orbit, and the optimal impulses is shown.

在最解的基础上导出并分析了两冲量建立时的最转移轨迹方程,揭示了最转移轨迹与作用冲量、目标相对轨道之间的关系。

This article discusses optimal preview tracking control of plane object trajectory and optimal preview tracking control of space three dimensions object trajectory by qualitative and quantitative analysis, and then put forward the algorithms of optimal preview control.

本文分别对平面轨迹最预见跟踪控制和空间三维轨迹最预见跟踪控制进行了定性、定量的分析,最后提出了最预见控制的算法。

We can use value iteration to obtain the optimal value function, from which the optimal policy can be derived efficiently.

用值迭代的方法可以求解MDP的最值函数,然后从最值函数得到最策略。

We analyze especially the equilibrium rules of optimal strategy and its conditions and make a comparative static analysis to the influence of parameters to optimal thresholds after educing investment value function and optimal investment threshold.

在导出企业投资价值函数和最投资临界值的基础上,着重分析了企业最投资策略均衡规则及各均衡存在的条件,并就各参数对企业最投资临界值的影响进行比较静态分析,得出了一些有意义的结论,同时给出了经济解释。

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