Global minimization of non-smooth unconstrained problems with filled function

For smooth or non-smooth unconstrained global optimization problems, an one parameter filled function is derived to identify their global optimizers or approximately global optimizers. The theoretical properties of the proposed function are investigated. Based on the filled function, an algorithm is designed for solving unconstrained global optimization problems. The algorithm consists of two phases: local minimization and filling. The former is intended to minimize the objective function and obtain a local optimizer, the latter aims to find a better initial point for the first phase. Numerical experimentation is also provided. The preliminary computational results confirm that the proposed filled function approach is promising.     

Electrochemical glucose biosensor based on silver nanoparticles/multiwalled carbon nanotubes modified electrode

A novel glucose biosensor was fabricated by immobilizing glucose oxidase (GOx) on Ag nanoparticles-decorated multiwalled carbon nanotube (AgNP-MWNT) modified glass carbon electrode (GCE). The AgNP-MWNT composite membrane showed an improving biocompatibility for GOx immobilization and an enhancing electrocatalytic activity toward reduction of oxygen due to decoration of AgNPs on MWNT surfaces. The AgNPs also accelerated the direct electron transfer between redox-active site of GOx and GCE surface because of their excellent conductivity and large capacity for protein loading, leading to direct electrochemistry of GOx. The glucose biosensor of this work showed a lower limit of detection of 0.01 mM (S/N?=?3) and a wide linear range from 0.025 to 1.0 mM, indicating an excellent analytical performance of the obtained biosensor to glucose detection. The resulting biosensor exhibits good stability and excellent reproducibility. Such bionanocomposite provides us good candidate material for fabrication of biosensors based on direct electrochemistry of immobilized enzymes.     

Non-Commutative Fejér Theorems

In this paper we prove that there are operators in the uniform Roe algebra ${C_u^*(G)}$ which cannot be approximated by the truncations of themselves, where G is a finitely generated group. We also give a sufficient condition for the operators which can be approximated by the truncations of themselves. For a countable discrete metric space X, we obtain the similar conclusions.     

有限多类别交通网络的扩展Wardrop均衡

研究有容量约束的交通网络中有限多类别用户的扩展Wardrop均衡.证明扩展Wardrop均衡定义的4种等价形式;并利用凸集分离定理得到在一定条件下.定义中A(v)的存在性.A(v)可以看作是一种收费,因而得到了有限多类别的交通网络中收费的存在性.     

纳米ZnO/石蜡复合相变材料的热物理性质研究

本文通过将纳米氧化锌(ZnO)颗粒加入熔融的石蜡(PW)并进行搅拌和超声制备了一种纳米ZnO/PW复合相变储能材料。为使纳米氧化锌在基体物质中分散均匀,在制备过程中使用了搅拌和超声以制备均匀的复合材料。使用扫描电镜观察其微观结构表明氧化锌在石蜡中分散良好。对所得ZnO/PW复合相变材料的相变温度、相变焓及导热系数等热物理性质进行了分析。结果表明,ZnO/PW复合相变储能材料的融化温度和融化焓均较纯石蜡的融化温度和融化焓均有所升高。在不发生相变时,ZnO/PW复合物的导热系数随温度的变化不大。ZnO/PW复合物在测试温度下的导热系数较基体PW有不同程度的提高,其提高程度基本随纳米ZnO的含量的增加而增加。     

RBNS的线性预测模型

传统的准备金方法都是基于聚合数据的,聚合数据是个体数据的汇总,它们丢失了许多有用信息,影响了准备金预测的准确性.本文提出了一个基于个体数据的线性预测模型,该模型不需要对数据的矩的具体形式进行假设,更不需要对数据的分布进行假设,而只需假设个体索赔数据的前两阶矩存在,具有适用范围广,简单易操作等特点.在文章的最后,通过随机模拟把提出的方法与著名的链梯法进行了对比,模拟结果显示,本文提出的方法是行之有效的.     

分块矩阵取得极值秩的条件

证明了如何选取矩阵X,Y和Z使得下面的分块矩阵(AXYZ)取得它的极大秩和极小秩,这里A∈C~(m×n)是一个已知矩阵,X∈C~(m×k),Y∈C~(p×n)和Z∈C~(p×k)是三个任意矩阵.     

关于求解带线性互补约束的数学规划问题正则方法的一个注记

本文主要研究在某些较弱条件下求解带线性互补约束的数学规划问题(MPLCC)正则方法的收敛性.若衡约束规划线性独立约束规范条件(MPEC-LICQ)在由正则方法产生的点列的聚点处成立,且迭代点列满足二阶必要条件,同时,若比在文[7]中渐近弱非退化条件Ⅰ更弱的渐近弱非退化条件Ⅱ在聚点处也成立,那么所有这些聚点都是B-稳定点.此外,在弱MPEC-LICQ,二阶必要条件及渐近弱退化条件Ⅱ下,我们仍能证明通过正则方法所得的聚点都是B-稳定点.     

一类自由作业供应链排序的研究

本文研究一类集成工件生产和发送的排序模型.在该模型中,供应链的上游首先将工件安排在自由作业机器上加工,然后把加工完毕的工件分批发送给下游.问题是寻找生产和发送相连的排序,使得生产排序费用和发送费用总和最少.这里,生产排序费用是以工件带权送到时间和表示;发送费用由固定费用和与运输路径有关的变化费用组成.在指出问题的NP困难性后,本文用动态规划算法构造了一致条件下的多项式时间近似算法,并分析算法的性能比.本文最后还讨论了该问题的其它情形.     

Solution approach to infinite linear programming problem with capacity constraints

The purpose of this article is to investigate a kind of infinite linear programming problem (ILPP) arising from infinite multiclass network equilibrium problems. In several cases, we construct special feasible solutions to the ILPP. By virtue of the nature of network, we prove that the solutions are optimal. Marcotte and Zhu (Oper Res Lett 37:211?C214, 2009) proved the existence of the valid tolls for the infinite multiclass network equilibrium problems. Based on this, we analyze the property of the tolls vector, i.e., the relationship between breakpoints and the tolls. We also consider the solutions in the network where origin-destination pairs may differ in their probability density functions.