向量最优化弱有效解的特征和存在性

研究多目标凸向量优化问题在Gateaux可微条件下弱有效解的特性,并讨论一类非凸向量最优化问题弱有效解及与一变分不等式的等价性,给出了解的存在性。     

无需线搜索的并行非线性共轭梯度法

给出了一类无需线搜索的无约束最优化并行算法--并行非线性共轭梯度法(NLS-PNCG),用一个固定的公式来计算搜索步长,较常用的共轭梯度法计算量小.并且证明了目的的全局收敛性,给出了数值试验,结果显示NLS-PNCG优于线搜索的非线性共轭梯度法(NCG).     

Modified integral-level set method for the constrained solving Global Optimization

The constrained global optimization problem being considered, a modified integral-level set method was illustrated based on Chew-Zheng‘s paper on Integral Global Optimizationand Wu‘s paper on Implementable Algorithm Convergence of Mottled Integral-Level SetMethod for Global Optimization Problem. It has two characters : 1 ) Each phase must constructa new function which has the same global optimal value as that of primitive objective function ;2) Comparing it with Zheng‘s method, solving level set procedure is avoided. Animplementable algorithm also is given and it is proved that this algorithm is convergent.     

Kantorovich theorem for variational inequalities

Kantorovich theorem was extended to variational inequalities by which the convergence of Newton iteration, the existence and uniqueness of the solution of the problem can be tested via computational conditions at the initial point.     

A Locking-Free Scheme of Nonconforming Rectangular Finite Element for the Planar Elasticity

In this paper, the authors present a locking-free scheme of the lowest order nonconforming rectangle finite element method for the planar elasticity with the pure displacement boundary condition. Optimal order error estimate, uniformly for the Laméconstant $\lambda\in(0,\infty)$ is obtained.     

THE ＇HYBRID＇ TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES

Based on the data obtained from a survey recently made in Shanghai, this paper presents the hybrid technique for risk analysis and evaluation of some diseases. After determination of main risk factors of these diseases by analysis of variance, the authors introduce a new concept ‘Illness Fuzzy Set‘ and use fuzzy comprehensive evaluation to evaluate the risk of suffering from a disease for residents. Optimal technique is used to determinethe weights wi in fuzzy comprehensive evaluation, and a new method ‘Improved Information Distribution‘ is also introduced for the treatment of small sample problem. It is shown that the results obtained by using the hybrid technique are better than by using single fuzzy technique or single statistical method.     

钢管定购和运输的策略优化

本文为图 1主管道和图 2树形管道的定购和运输计划给出了一个最优化模型 .通过解这一个最优化模型得到钢管的定购和运输的最优策略 .同时 ,分析了哪个钢厂钢管销价的变化对图 1主管道购运计划和总费用影响最大 ,哪个钢厂钢管产量的上限的变化对购运计划和总费用影响最大     

NS方程在隧道通风工程中的应用

在隧道通风工程中,为了研究通风过程中风压风速度的变化情况,将隧道中空气的流动看成流体力学中所研究的粘性不可压缩流体的非定常流动。用NS方程作为隧道通风的数学模型,采用三次插值伪质点法求解NS方程。以浙江台州104国道黄土岭隧道风改建工程为研究对象,对不同长度和高度的引洞通风状况给出计算机数值模拟,并进一步分析通风过程中风压风速的变化情况。从达到通风要求、提高通风效率的角度出发,可根据本文的计算结果与数据分析,选择最优化的通风方案。     

最优化方法在拟合正交系晶体弹性及压电系数中的应用

由布里渊散射实验可以得到晶体弹性及压电系数。本文介绍了最优化方法在拟合正交晶体弹性及压电系数中的应用 ,并对几种主要的最优化算法的稳定性、初值选取、拟合数据结果的判断及评价等关键问题做了详细的讨论     

由气相色谱程序升温数据计算恒温保留指数

提出了一种由程序升温数据推算恒温保留指数的计算方法,采用实验数据关联死时间和温度的关系,引入等效温度作为间接变量进行最优化。应用于Ｃ＿５～Ｃ＿９正构烷烃和Ｃ＿６烯烃的数据表明该法适应性强、精确度高,推算的恒温保留指数可作为定性依据。