Application of fuzzy optimization to a supply chain network design: A case study of an edible vegetable oils manufacturer

This study applies fuzzy sets to integrate the supply chain network of an edible vegetable oils manufacturer. The proposed fuzzy multi-objective linear programming model attempts to simultaneously minimize the total transportation costs. The first part of the total transportation costs is between suppliers and silos; and rest one is between manufacturer and warehouses. The approach incorporates all operating realities and actual flow patterns at production/distribution network with reference to demands of warehouses, capacities of tin and pet packaging lines. The model has been formulated as a multi objective linear programming model where data are modeled by triangular fuzzy numbers. Finally, the developed fuzzy model is applied for the case study, compiled the results and discussed.     

有限域上多项式集的简单分解

研究如何将任意有限域上的多项式集分解为有限多个简单列.为了解决这一问题,首先研究简单列和根理想之间的关系,然后基于已有的正则分解算法和有限域上理想的根的两种计算方法设计一个有限域上多项式集的简单分解算法.计算试验表明,文章给出的算法是有效的.     

基于二维声子晶体第一带边态的声学定向辐射

采用多重散射方法研究二维四方钢/水声子晶体中线源的辐射问题。数值结果表明利用声子晶体ΓΜ方向的第一带边态可以实现声定向辐射。利用文中设计的三角形晶体结构既可以实现声波的单束定向辐射,还能够得到传播方向互相垂直的双束定向辐射。该研究对声子晶体功能器件的设计具有一定的意义。     

A convenient solution method for conversion of a W(II) octahedral cluster to W(IV) triangular cluster: synthesis and characterization of Cs3Na2[W3Se4(CN)9] · 0.5Et4NBr · 5H2O

A new solution method for the preparation of a triangular W(IV) cluster starting from an octahedral W(II) cluster is reported. The product Cs₃Na₂[W₃Se₄(CN)₉]?·?0.5Et₄NBr?·?5H₂O (1) has been synthesized by boiling W₆Br₁₂ in an aqueous solution of Na₂Se _x , followed by filtering off the dark solid which was then heated with an aqueous solution of NaCN and crystallized by the addition of CsBr and Et₄NBr. The compound was characterized by IR, UV-Vis, elemental analysis, and single crystal X-ray diffraction. The described W(II)-to-W(IV) conversion in solution is reported for the first time.     

Modified nodal cubic spline collocation for elliptic equations

We consider the modified nodal cubic spline collocation method for a general, variable coefficient, second order partial differential equation in the unit square with the solution subject to the homogeneous Dirichlet boundary conditions. The bicubic spline approximate solution satisfies both the Dirichlet boundary conditions and a perturbed partial differential equation at the nodes of a uniform partition of the square. We prove existence and uniqueness of the approximate solution and derive an optimal fourth order maximum norm error bound. The resulting linear system is solved efficiently by a preconditioned iterative method. Numerical results confirm the expected convergence rates. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2011     

Bit-size estimates for triangular sets in positive dimension

We give bit-size estimates for the coefficients appearing in triangular sets describing positive-dimensional algebraic sets defined over Q. These estimates are worst case upper bounds; they depend only on the degree and height of the underlying algebraic sets. We illustrate the use of these results in the context of a modular algorithm.This extends the results by the first and the last author, which were confined to the case of dimension 0. Our strategy is to get back to dimension 0 by evaluation and interpolation techniques. Even though the main tool (height theory) remains the same, new difficulties arise to control the growth of the coefficients during the interpolation process.     

The resistance of metallic plates to localized impulse

The responses of metallic plates and sandwich panels to localized impulse are examined by using a dynamic plate test protocol supported by simulations. The fidelity of the simulation approach is assessed by comparing predictions of the deformations of a strong-honeycomb-core panel with measurements. The response is interpreted by comparing and contrasting the deformations with those experienced by the same sandwich panel (and an equivalent solid plate) subjected to a planar impulse. Comparisons based on the center point displacement reveal the following paradox. The honeycomb panel is superior to a solid plate when subjected to a planar impulse, but inferior when localized. The insights gained from an interpretation of these results are used to demonstrate that a new design with a doubly-corrugated soft core outperforms solid plates both for planar and localized impulses.     

罐盖压痕残余厚度测量

激光三角法测量原理可有效应用于三维曲面的非接触精密测量,测量数据的统计处理结果直接关系到测量精度的提高,同时也与测量系统结构、被测物体特性及环境条件等因素有关。从激光三角法的测量机理出发,针对易拉罐罐盖开启口压痕残余厚度测量中影响测量的关键问题进行分析和研究,包括激光光点尺寸、激光散斑、精细结构、被测物体表面的光泽、颜色等,其中前三个问题对测量精度的影响最为突出,通过理论分析和研究,初步给出了计算机仿真和实验结果,探讨了减小或消除测量误差的方法。     

导体线面连接问题中奇异函数积分的计算

在线面连接问题中，电流展开函数包含体展开函数、线展开函数和连接点展开函数三类。求解电场积分方程的积分项是电流基函数及其散度分别与自由空间格林函数的乘积，由于连接点展开函数含有一个奇异点，所以被积函数中含有两个奇异点。本文通过积分变换消除了奇异点，并将二重积分化为一重积分，使计算精度得到提高。计算实例验证了本文方法的正确性。     

基于二次混频DPT的LFMCW雷达多目标检测和参数估计

针对LFMCW雷达中高速加速运动目标的检测问题,该文提出一种二次混频DPT处理方法。利用三角线性调频信号的调频对称性,采用上、下调频差拍信号二次混频的方法消除目标高速运动导致的跨距离单元走动现象。按距离单元进行的DPT处理可获得目标加速度和初始速度的估计。进一步重点研究了多目标存在时的参数估计问题。分析了多目标交叉项的特点,得出了一次交叉项形成有效干扰以及二次交叉项出现的条件。借助于Clean算法的思想,通过依次检测并剔除能量最强目标,有效解决了多目标参数估计问题。给出了多目标处理的主要步骤。仿真结果验证了该文方法及结论的有效性。