Based on duality theory of linear programming and graph theory it is proved that the matching game defined on a bipartite graph has the stable core if and only if the graph has a perfect matching .

基于线性 规划对偶 理论和图论的相关知识，我们首先证明了匹配对策有稳定核心当且仅当其基础二部图有完美匹配。

This paper is to solve the optimization of multi-project development the basic thinking roadmap is to convert the multi-project optimization to multi-stage decision and use the theory of dynamic programming to get the optimal strategy .

本文要解决的就是多项目开发的优化决策问题，基本的研究思路是将多项目的开发决策问题转换为一个多阶段的决策问题，并采用动态 规划 的 理论来求解最优决策序列。

Application of Theory of Dynamic Programming for Maintenance Decision making of Freeways Network

动态 规划 原理在高速公路网级养护决策中的应用

For the no-overload of toll-by-weight model problems based on the theory of bi-level programming giving full consideration of the interests of the traveler and the operational efficiency of road network constructing optimal model is established .

对于限内计重收费标准最优确定模型方面，论文以双层 规划 理论为基础，充分考虑了出行者的利益和路网的运行效率，构建最优确定模型。

Part two is the basic theory of financial Programming and macroeconomic forecasting methods on the system including financial Programming content macroeconomic forecasting and financial Programming .

第二部分是关于金融 规划基本 理论和宏观经济预测方法体系的阐述，主要包括金融规划的内涵、宏观经济预测与金融规划。

With the theory of bi-level programming the model of supply chain oriented aggregate production planning is proposed by introducing distributors ' planning models into that of manufacture which results in the simultaneous optimality of the planning of production and distribution .

采用双层非线性 规划 理论，将分销商计划引入集约生产计划模型，提出了面向创新型供应链的企业集约生产计划方法，实现了生产计划与分销商分销计划的联合优化。

By using DTW technique based on the theory of dynamic programming in recognition platen to match these extracted test voice parameters with the voice parameters of training platen the minimum error value which is the result of recognizing is obtained .

在识别模块采用基于动态 规划 原理的动态时轴弯折（DTW）技术对提取的测试语音参数与训练模板的语音参数进行匹配，得到的误差最小值即为识别结果。

Self-corrective Theory of Quadratic Programming Solution for High-Precise Finite Element in Isotropic Hardening Elasto-Plastic Materials

硬化材料弹塑 性高精元二次 规划解的自校正 理论及应用

Based on the optimization theory of dynamic programming and by means of the target function of ground subsidence optimal mathematical model of excavation sequence of tunnel groups between metro stations is established .

根据动态 规划最优化 原理，以地表沉降作为目标函数，建立城市地铁区间隧道洞群开挖顺序优化分析数学模型。

The paper uses the theory of a linear programming model and the gray prediction model .

在预测中论文使用了一元线性 规划模型和灰色预测模型等 理论。

In fact both of the general problems of quantum state discrimination belong to semidefinite programming problems and can be solved by using the theory of semidefinite programming which is well-developed .

实际上，一般的量子态区分问题可归结为半定规划问题，因此可借助于发展成熟的半定 规划 理论进行处理。

In the theory of programming program synthesis is deeply concerned with program verification .

在 程序 理论方面，程序综合与程序验证关系密切。

This article mainly introduces the theory of Dynamic Programming and how to solve the problem .

本文主要介绍了动态 规划 算法 原理，以及如何利用这种 算法解决具体问题。

Based on the mathematical description for the locational relationships of two rectangles a smooth optimization model is presented by the former way and the optimality theory of nonlinear programming is used to establish its optimality conditions .

前一种方式基于两个矩形位置关系的数学表述，给出了一个光滑优化模型，依据非线性 规划的最优性 理论建立了该优化问题的最优性必要条件。

Basic Theory of Semi-infinite Programming and Semi-infinite Complementarity Problems

半无限 规划和半无限互补问题的基本 理论 研究

The nonlinear theory of mathematical programming was used to develop a direct iterative algorithm .

借助数学 规划中的非线性 理论，可构造出上述问题的直接迭代求解算法。

In this paper a new method by using the theory of dynamic programming is introduced to make the optimum design of feedwater heating system for a power plant .

本文提出了一种应用动态 规划 原理的给水回热系统优化设计方法。

Based upon the duality theory of convex programming we derive the corresponding dual programs of two entropy optimization problems .

利用凸 规划的对偶 理论，分别推导出最大熵和最小叉熵问题的对偶规划，从而可以极大地减少计算工作量和有助于两个熵优化原理的推广应用。

As well as the general problem of quantum state discrimination the problem can be solved by using the theory of semidefinite programming .

它与一般的量子态区分问题具有相同之处，都可以借助于半定 规划 理论进行 分析。

Based on the theory of fuzzy liner programming the region water resources is analyzed .

基于模糊线性 规划 的 基本 理论，分析区域水资源的承载力。

The rank and maceral and combustion characteristics of thirty kinds of coals were researched . According to the theory of nonlinear programming and the experimental results a prediction model of coals combustion characteristics based on a petrographic factor were put forward .

对30种煤的煤阶、煤岩组分及燃烧性进行了研究，根据非线性 规划 理论及实验结果提出了基于岩相因子的煤粉燃烧预测模型。

In the last part taking advantage of the theory of dynamic programming we make multistage programming as to equipment replacement and equipment investment of water system and work out the procedure which provide reliable theoretical proof for water equipment replacement and equipment investment .

利用动态 规划 原理，对供水设备更新与设备投资问题进行多阶段规划，并编制了程序，从而为本钢供水设备有选择、有目的的更新和投人提供了可靠的理论依据。

A sequence of quadratic programming problems is thus obtained and than solved by quasi-analytical method based on the dual theory of nonlinear programming .

特别是利用序列 近似问题代替原优化问题的 概念是一自然的而又重要的发展。

According to the duality theory of linear programming the concept and calculation of the shadow price of constraint resources are discussed . Also the application of shadow price in the management of economy is presented .

本文根据线性 规划的对偶 理论，讨论了约束资源的影子价格的概念和计算问题，阐述了影子价格在经济管理中的应用。

Duality Theory of Fuzzy Programming

模糊 规划的对偶 理论

And then the theory of dynamic programming is used to build the dynamic programming model of resource allocation of the Cloud Entrepreneurial Platform .

然后，运用动态 规划 理论构建了云创业平台资源配置的动态规划模型。

This method shows that the theory of multiple objective programming and the local character of some sequences can be combined .

这种定阶方法把多目标 规划 理论与事物局部特征结合起来。

Finally a polynomial-time algorithm for the optimal strategy of OEM is gotten by using dual theory of bilevel programming .

最后，利用双层 规划的对偶 理论，给出求解OEM业务最优策略的一种多项式时间算法。

Aiming at saving construction materials the paper established a mathematical model by adopting the theory of linear programming and derived values for planning model with LP function in MATLAB . The method speeded up derivation process raised the derivation accuracy and reduced the cost of materials .

本文针对建筑施工中节约用料问题，采用线性 规划 理论，建立数学模型，并利用MATLAB中的LP函数求解规划模型。该方法缩短了求解过程，提高了求解精度，节约了材料成本。

This paper takes fuzzy number difference as the solution of the fuzzy equation therefore discusses the problem of finding the solution of fuzzy equation and based on the theory of goal programming gives the generalized solution of fuzzy equation .

将模糊数差值视为模糊方程的解，探讨了模糊方程的求解问题，并基于目的 规划 理论，给出了一模糊方程的广义解定义。