优化问题

Parametric evaluation function can condense the complicated multi-objective and multi-constrait problem into a single-objective unconstrained problem, then solved with conjugate gradient method.The parametric evaluation function method decreases the optimization difficulty,and makes the solution away from the boundary of feasible region during the optimization process,which makes all the objectives optimized simultaneously.

参数评价函数把复杂的多目标多约束优化问题转化为单目标无约束问题，然后用共轭梯度法进行求解，不但降低了求解难度，而且使得在优化过程中其解远离可行域的边界，保证了对多目标中所有目标同时进行优化。

Based on the intelligentized algorithms and Matlab,simulation regarding optimization of benzene-toluene flash vaporization process is made. The simulation result shows that the amount of benzene in vapor phase product reaches the maximum on the condition of effective adjustment of temperature,pressure and diffluence coefficient and the production process is optimized.

对基本蚁群算法进行了智能化改进，并运用智能蚁群算法和Matlab语言，对化工生产过程中的实际优化问题，苯-甲苯闪蒸过程进行了优化仿真计算，仿真结果表明，在有效地调整温度、压力及分流系数的条件下，使得汽相产物中苯的产量达到最大，实现了苯-甲苯闪蒸过程的最优化，同时也证明了蚁群算法可以有效地解决化工生产过程中的优化问题。

Basic ant colony algorithms are intelligentized. Based on the intelligentized algorithms and Matlab, simulation regarding optimization of benzene-toluene flash vaporization process is made. The simulation result shows that the amount of benzene in vapor phase product reaches the maximum on the condition of effective adjustment of temperature, pressure and diffluence coefficient and the production process is optimized. It is also proves that the intelligentized algorithms are practical in optimization of chemical production process.

对基本蚁群算法进行了智能化改进，并运用智能蚁群算法和Matlab语言，对化工生产过程中的实际优化问题，苯-甲苯闪蒸过程进行了优化仿真计算，仿真结果表明，在有效地调整温度、压力及分流系数的条件下，使得汽相产物中苯的产量达到最大，实现了苯－甲苯闪蒸过程的最优化，同时也证明了蚁群算法可以有效地解决化工生产过程中的优化问题。

By defining time span combination, the continuous varying parameter optimization problem is transformed to discrete multi-parameter optimization problem and model is constructed.

引入时段组合的概念，将连续问题转化成离散问题，将变参数优化问题转化成多参数优化问题，建立了相应的数学模型，并给出简化求解的方法。

In reliability-based optimization problems of a ship's longitudinal structural design, there are lots of discrete variables and continuous variables. This kind of mixed-discrete non-linear optimization problem containing discrete and continuous variables has long been payed attention to, which is more difficult to solve when a number of reliability constraints are taken into account.

在船舶纵向结构的可靠性优化设计中，含有许多离散型设计变量和连续型设计变量，这种含有两种不同性质设计变量的大型结构物的混和优化问题，一直是人们瞩目的难题，尤其是考虑了多个可靠性约束条件之后，求解这种非线性优化问题就更为困难。

This algorithm constructs a set of linear equations. As a result, the relation of the reconstructed design variables and the original design variables is derived, the variable number of optimum design is decreased from m + n + 2 to 4, and the equality constraint optimization problem is converted into reduced- dimension no equality constraint optimization problem.

该算法通过构造一组线性方程，得到了由重构设计变量到原设计变量的映射关系，使优化设计的变量由原来的m + n + 2个减少到4个，并将有等式约束优化问题转换成降维的无等式约束优化问题。

In order to meet the discharge norm of the contamination concentration limit, zone generalized predictive control is adopted which transforms the conventional quadratic objective of the MPC into a linear programming with soft constraints; besides, considering the wastewater treatment plants energy-saving targets, a multi-objective predictive control is formulated and finally hierarchical multi-objective optimization algorithm is applied for on-line optimization solution.

根据污水处理过程的实际要求，为了满足氮浓度的排放标准区间要求，研究了污水处理过程的区间广义预测控制策略，把预测控制的常规二次目标转化为带软约束问题的线性优化问题；同时考虑到污水处理的能耗，在出水水质目标之上建立了能耗最小目标，得到了污水处理的多目标预测控制，最后采用分层多目标优化算法进行在线优化求解，得到污水处理过程的多目标预测控制。

The basis of this method,a program control structure generation algorithm and an automated testing tool for optimizing compiler which is implemented based on the algorithm are introduced.

编译优化的工作进一步增大了编译系统的复杂性，优化问题大多是NP问题，一些优化方法还与机器的体系结构密切相关。

A problem of cable force optimization of cable-stayed bridge is equated as a nonlinear implicit optimization model. In the mathematical model, the object function is minimizing summation of bending strain energy and axial strain energy, and the constrain conditions are nonlinear and related to reasonable finished dead state. The optimization model is solved by projection gradient method, fully considering all kinds geometric nonlinearity.

把超千米级斜拉桥的索力优化问题归结为非线性隐式优化的数学模型，以系统最小弯压应变能为目标，根据合理成桥状态指定各种非线性约束条件，利用投影梯度法进行优化问题的求解，求解过程中充分考虑了各种几何非线性的影响。

Because of the sampling processing, we can take the simple concave domain analysis and ICM optimization in two different levels, so as to make both the parameter estimation and optimization much easier to implement, while delivering a satisfactory result; The third one is based on the multi-resolution analysis, robust statistics and majority game theory. 4. Propose a new clustering algorithm based on the entropy concept, which is used for unsupervised segmentation of color images.

重点讨论非监督的图象分割问题，并给出了三种新方法：一是基于贝叶斯学习和全局竞争策略的方法，把参数估计和图象分割有机地结合在一起；二是基于分层的框架，从抽样定理出发，在两个不同的层次上使用简单的凹域分析和ICM优化，可以使得参数估计和优化问题都变得简单易行，并得到满意的结果；三是基于多级分析、鲁棒统计的参数估计和多数博弈论的优化算法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。