Balancing exploration and exploitation in differential evolution via variable scaling factors: An application to practical problems

Some optimization problems in the field of nuclear engineering, as for example the incore nuclear fuel management and a nuclear reactor core design, are highly multimodal, requiring techniques that overcome local optima, exploring the search space and promoting the exploitation of its most promising areas. The differential evolution algorithm (DE) relies mainly on the mechanism of mutation, where an individual is perturbed using the weighted difference (with the so-called “scaling factor” F) between two randomly chosen individuals. DE's canonical version employs a constant value of F. However, this parameter should be variable in order to balance the exploration and exploitation of the search space. In this work, we test some variable scaling factors from the literature and present the novel exponential scaling factor. These methods are applied to two problems: the aforementioned core design and the turbine balancing problem, which is an NP-hard (i.e. intrinsically harder than those that can be solved in nondeterministic polynomial time) combinatorial optimization problem that can be used to assess the potential of an algorithm to be applied to fuel management optimization. DE with variable scaling factors perform well in both problems, showing potential to be used in other nuclear science and engineering optimization problems.     

基于改进SOA-VMD的磁声发射信号去噪算法

磁声发射（MAE）是铁磁性材料磁化过程中产生的声发射信号，在构件应力检测和微观损伤检测中有着广泛的应用。针对MAE信号非稳态、复杂性、衰减性等特点，提出海鸥算法结合变分模态分解（SOA-VMD）的去噪方法，为克服海鸥算法求解过程中易陷入局部最优解问题，利用柯西变异算子产生随机迭代过程，使改进算法即柯西变异海欧算法（CVSOA）跳出早熟收敛。采用以幅值谱熵为适应度函数，优化VMD算法中分解模态个数K和二次惩戒因子α两个参数，将含噪声的MAE信号进行VMD分解重构。经仿真信号和实际检测信号分析表明，改进后的CVSOA-VMD算法全局寻优能力和去噪性能优于传统的SOA-VMD算法，降噪后的MAE信号特征值对于不同应力下均方根、偏斜度特征值的重复性更好，可靠性更高。     

应用突变理论优选矿井通风系统

矿井通风系统优选是受众多定量和定性因素综合的影响。本文基于突变理论，提出了应用突变理论优选矿井通风系统的综合评价。实践证明，应用突变理论综合评价合理、可行，不仅可指导生产实际，而且为优选矿井通风系统方案和多目标决策提供了一种新的方法和科学的理论依据。     

关于城市的变异

面对仓促巨变的亚洲城市的严峻现实，设计者，包括建筑师、规划师和艺术家们，试图将个体的主张有效的介入城市生活，应对复杂的城市问题。作为2002上海双年展的策展人，作者介绍了由她推荐的十个艺术家和建筑师的作品。     

基于模糊控制器的自适应遗传算法

基于模糊控制器的自适应遗传算法,通过模糊控制器自适应地动态改变交叉率、变异率的值;从而使该算法最快达到全局最优解.其模糊控制器的设计及求取Pc(交叉率)、Pm(变异率)的步骤包括:输入、输出变量的选取,输入、输出语言值及隶属度函数的定义,模糊规则表的建立,模糊推理及解模糊.     

基于GIS坐标布局的配电单线图自动成图技术

以IEC 61968的公共信息模型(CIM)为基础,对配电网设备信息及拓扑连接关系进行解析。先通过四参数法将设备地理信息系统(GIS)坐标映射到网格化的图纸上完成初始布局,再针对"杆塔分布均匀规整、站房分布均匀、线路交叉少、整体图元分布均匀"的优化目标进行多目标优化建模,利用带线性递减策略的柯西变异粒子群算法进行优化布局,实现了兼顾灵活通用与布局美观的配电单线图自动成图,并生成可缩放矢量图形(SVG)格式文件与专网移动设备共享,以满足配电网运检业务的需要。     

Inclusion problem of a two-dimensional finite domain: The shape effect of matrix

With the advance in composite mechanics and micromechanics, there are increasing demands for analytical solutions of inclusion problems in a bounded domain. To echo this need, this study is focused on establishing explicit expressions of elastic fields for a 2D elastic domain containing a circular inclusion at center. Unlike the configuration in the classical Eshelby formulation, the elastic domain in this study is bounded and has shapes other than a circle. To circumvent the mathematical difficulty in solving Green’s function in a finite domain, an approach powered by complex potential method, which has been successfully employed to formulate the elastic fields for inclusion problems where matrix is unbounded or bounded by a circle, is extended to finite domains displaying complicated shapes, particularly, a Pascal’s limaçon and a curved square (an approximation of perfect square) in this study. In order to take advantage of the mathematical simplicity inherent in expressing a circular geometry, conformal mapping is used to transform the complex geometry of the finite domain of interest to a unit circle. The governing complex potentials, which capture the discontinuity on the inclusion–matrix interface due to the uniform eigenstrain within the inclusion, are formulated with the aid of Cauchy integral and then explicitly identified by satisfying the prescribed boundary conditions. In this study, the displacement fields for finite domains bounded by a Pascal’s limaçon and a curved square are obtained based on Dirichlet (displacement) boundary conditions imposed by the far field strain. In addition to asymptotical behaviors, firm agreement is also achieved when the analytical solutions based on complex potentials are compared with the FEM results. Furthermore, inverse of the conformal mapping is discussed here in order to get the explicit expression for elastic fields.     

Molecular modeling on HIF-2α–ARNT dimer destabilization caused by R171A and/or V192D mutations in HIF-2α

Oxygen homeostasis in normal and tumor cells is mediated by hypoxia-inducible factors (HIFs), which are active as heterodimer complexes, such as HIF-2α–aryl hydrocarbon receptor nuclear translocator (ARNT) and HIF-1α–ARNT. A series of mutations on the interfaces between HIF-2α and ARNT and on the domain–domain interface within HIF-2α has been reported to exert varying effects on HIF-2α–ARNT dimerization. In the present study, molecular dynamic simulations were conducted to evaluate HIF-2α mutations, namely R171A, V192D, and R171A/V192D, which are not involved in the interaction with ARNT but impede HIF-2α–ARNT dimerization. Our results indicate that these mutations induct local conformation leading to a shortened (by V192D) or widened (by R171A and R171A/V192D) Y91–E346 separation distance, where E346 and Y91 are located on the HIF-2α and interact with ARNT according to electrostatic and geometrical shape complementarity, respectively.     

Molecular simulations of lactose-bound and unbound forms of the FaeG adhesin reveal critical amino acids involved in sugar binding

F4 fimbriae are protein filaments found in enterotoxigenic Escherichia coli cells and are implicated in the process of bacterial infection due to their function as bacterial adhesins. These filaments are comprised from several proteins, but the bacterial adhesin FaeG, which is a lactose-binding protein, is the major subunit comprising F4 fimbriae. Crystal structures for three variants of the FaeG protein were recently solved, including the ad variant of FaeG that was crystallized in complex with lactose. However, the dynamics of the FaeG protein bound to lactose have not been explored previously using molecular dynamics simulations. Therefore, in order to study the dynamical interactions between the FaeG ad variant and lactose, we have carried out the first all-atom molecular dynamics simulations of this system. We have also probed the role of crystallographic water molecules on the stability of lactose in the FaeG binding site, and have simulated seven FaeG mutants to probe the influence of amino acid substitutions on the ability of FaeG to bind lactose effectively. Our simulations agree well with experimental results for the influence of mutations on lactose binding, provide dynamical insights into the interactions of FaeG with lactose, and also suggest the possibility of additional regions of the FaeG protein that may act as secondary lactose binding sites.     

Stability analysis of the Fourier–Bessel method for the Cauchy problem of the Helmholtz equation

This paper is concerned with the Cauchy problem connected with the Helmholtz equation in a smooth-bounded domain. The Fourier–Bessel method with Tikhonov regularization is applied to achieve a regularized solution to the problem with noisy data. The convergence and stability are obtained with a suitable choice of the regularization parameter. Numerical experiments are also presented to show the effectiveness of the proposed method.