约束优化

The method of minimizing the Expected Shortfall: the Pflug-Rockafellar-Uryasev method was introduced and was extended to HARA Spectral Measure of Risk M_. Constrained risk-reward optimization is in factshown to coincide with unconstrained minimization of particular spectral measures.

介绍了α-ES最小化的Pflug-Rockafellar-Uryasev方法将其推广至双曲类风险厌恶函数谱测度M_φ约束下的优化问题，证明了经典的马科维茨风险收益问题与对应的无条件限制的谱度量最小化是一致的。

Response surface methodology was introduced into the cross sectional optimization of truss, in which the stress and displacement constraints were expressed as linear functions dependent on the reciprocals of cross sections.

把响应面方法引入桁架截面优化中，将应力和位移约束近似表达为桁架截面倒变量的线性函数。

Timetabling Problem is a Multiobjective Combination Optimization Problem with constraints, and also has been proved NP-Completed.

排课问题是一个有约束的、多目标的组合优化问题，并且已经被证明为一个NP完全问题。

The timetabling problem is an NP-hard multiobjective combinatorial optimization problem with constraints.

排课问题是一个有约束的、多目标的组合优化问题，并且已经被证明为一个NP难问题。

The simulation results show the integrated optimization algorithm can deal with the couple and al locate the overload efficiently with the constraint of sideslip angle and roll angle.

仿真结果表明，混合优化算法能隐形地处理并联复合控制时侧向系统之间的耦合，在侧滑角和滚转角的约束下，合理地分配需用过载，提高布撒器的侧向机动能力。

The set of feasible operations that allocate time optimally among the three heat conduction branches for the objective function be written in terms of the net effects and the finite-time constraint are explicitly described. The result generalizes the well-known result of Curzon and Ahlborn for the efficiency of a Carnot-like heat engine at maximum power.

描述了三个恒温热源之间一切可行的循环方式，在有限时间的约束下，根据净效果定义的目标函数对热传导分支运行时间进行了优化分配，推广了类卡诺热机在最大输出功率时Curzon和Ahlborn所得到的效率结果。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。