非线性规划

This paper establishes the expense separate model of bill of quantity based on maximizing the utility and rationality,by using the restriction of nonlinear programming.

运用约束条件的非线性规划，建立起一个基于效用最大化和合理性相结合的工程量清单费用分摊模型。

Since the objective function of the model is nonlinear, the gradient of which is piecewise constant, the normal nonlinear programming algorithm can not be used.

该模型是非线性的且目标函数的梯度是分段常数，不能采用常规的非线性规划算法进行求解。

Mathematically, it can be formulated as Mixed Integer Nonlinear Programming problem that includes both structural and parametric variables optimization.

在数学上，这一问题同时涉及流程结构和操作参数的最优化，属于混合整数非线性规划范畴。

In the computational methods of TPBVP, in order to reduce some difficulties involved in solving a TPBVP via adjoint variables, we discuss a direct method in which state and control variables are indirectly parameterized, The method employs a recently developed direct optimization technique that uses a piecewise polynomial representation for the state and control variables, thus converting the optimal control problem into a nonlinear programming problem, which can be solved numerically.

在数值解法中，为了减少解决两点边值问题共轭变量带来的困难，主要讨论了将状态变量和控制变量进行参数化的一种直接方法，这种方法采用了近段发展起来的使用分段的多项式来代替状态和控制变量的直接优化方法，然后最优控制问题就转化成可以用数值方法解决的非线性规划问题，使得迭代初值更加容易选取。

Based on Pontryagin maximum principle,the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

An integrated control based nonlinear programming model for preventive corrective control is proposed and then solved by predictor corrector primal dual interior point method.

提出基于集中控制方式的电压崩溃预防校正控制的非线性规划模型，并将预测校正原对偶内点法用于预防校正控制措施的研究。

It converts the calculation of PoC to a nonlinear programming problem, which is solved by predictor corrector primal dual interior point method in this paper.

对直接求取电压崩溃临界点的零特征根法进行扩展，将临界点计算转化为非线性规划问题，并用预测校正原对偶内点法求解。

In this paper, we propose a general model of a class of Lagrangian dual problem for the general nonlinear programming problem with respect to some Lagrange-type functions. We obtain that the zero duality gap exists between this class of Lagrangian dual problem and the primal problem.

针对一般的非线性规划问题，利用某些Lagrange型函数给出了一类Lagrangian对偶问题的一般模型，并证明它与原问题之间存在零对偶间隙。

The optimal method used in this paper is named Sequential Quadratic Programming, which is one of the most successful methods for solving nonlinear constrained problem.

最优化方法采用了当今求解光滑的非线性规划问题的最优秀算法之一的序列二次规划法。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。