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采用内点算法的灰狼优化程序阵列纠错 None

Shafqat Ullah KHAN, M. K. A. RAHIM, Liaqat ALI

《信息与电子工程前沿（英文）》 2018年第19卷第9期页码 1191-1202 doi: 10.1631/FITEE.1601694

摘要：设计了一个采用内点算法的灰狼优化程序以纠错天线阵列。若单个传感器故障，整个阵列辐射功率图在旁瓣电平（sidelobe level，SLL）和深零度电平（null depth level，NDL）方向受干扰，零点被破坏并发生偏离。可通过设计新的适应函数解决这些问题，并减小预期辐射功率图与零限值之间的偏差。该混合算法用于控制天线阵列的辐射功率图。仿真实验使用了由21个传感器组成的天线阵列。仿真结果表明，与现有的SLL和NDL方法相比，所提方法具有良好性能。

关键词：故障纠错；灰狼优化器；内点算法；旁瓣电平；深零度电平

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Comparative seismic design optimization of spatial steel dome structures through three recent metaheuristic algorithms

《结构与土木工程前沿（英文）》 2022年第16卷第1期页码 57-74 doi: 10.1007/s11709-021-0784-y

摘要： Steel dome structures, with their striking structural forms, take a place among the impressive and aesthetic load bearing systems featuring large internal spaces without internal columns. In this paper, the seismic design optimization of spatial steel dome structures is achieved through three recent metaheuristic algorithms that are water strider (WS), grey wolf (GW), and brain storm optimization (BSO). The structural elements of the domes are treated as design variables collected in member groups. The structural stress and stability limitations are enforced by ASD-AISC provisions. Also, the displacement restrictions are considered in design procedure. The metaheuristic algorithms are encoded in MATLAB interacting with SAP2000 for gathering structural reactions through open application programming interface (OAPI). The optimum spatial steel dome designs achieved by proposed WS, GW, and BSO algorithms are compared with respect to solution accuracy, convergence rates, and reliability, utilizing three real-size design examples for considering both the previously reported optimum design results obtained by classical metaheuristic algorithms and a gradient descent-based hyperband optimization (HBO) algorithm.

关键词： steel dome optimization water strider algorithm grey wolf algorithm brain storm optimization algorithm hyperband optimization algorithm

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一种基于变异算子与淘汰重组机制的改进GWO及其应用 Article

Xiao-qing ZHANG, Zheng-feng MING

《信息与电子工程前沿（英文）》 2017年第18卷第11期页码 1705-1719 doi: 10.1631/FITEE.1601555

摘要：标准苍狼优化算法（grey wolf optimizer, GWO）因其简单易用的特性受到广泛关注。由于存在搜索结构不完善、易陷入局部最优等问题，其应用范围受到了限制。

关键词：群智能；苍狼优化算法；优化；RBF（radial basis function）网络

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A hybrid machine learning model to estimate self-compacting concrete compressive strength

Hai-Bang LY; Thuy-Anh NGUYEN; Binh Thai PHAM; May Huu NGUYEN

《结构与土木工程前沿（英文）》 2022年第16卷第8期页码 990-1002 doi: 10.1007/s11709-022-0864-7

摘要： This study examined the feasibility of using the grey wolf optimizer (GWO) and artificial neural network (ANN) to predict the compressive strength (CS) of self-compacting concrete (SCC). The ANN-GWO model was created using 115 samples from different sources, taking into account nine key SCC factors. The validation of the proposed model was evaluated via six indices, including correlation coefficient (R), mean squared error, mean absolute error (MAE), IA, Slope, and mean absolute percentage error. In addition, the importance of the parameters affecting the CS of SCC was investigated utilizing partial dependence plots. The results proved that the proposed ANN-GWO algorithm is a reliable predictor for SCC’s CS. Following that, an examination of the parameters impacting the CS of SCC was provided.

关键词： artificial neural network grey wolf optimize algorithm compressive strength self-compacting concrete

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基于竞争的二进制多目标灰狼算法的快速紧凑天线拓扑优化 Research Article

董健,袁霞,王蒙

《信息与电子工程前沿（英文）》 2022年第23卷第9期页码 1390-1406 doi: 10.1631/FITEE.2100420

摘要：为降低传统多目标天线拓扑优化问题的计算量，本文提出一种基于竞争的二进制多目标灰狼优化算法（CBMOGWO）。该方法引入种群竞争机制，以减轻电磁（EM）仿真的负担并获取适当的适应度值。此外，我们引入余弦振荡函数来改进原始二进制多目标灰狼优化算法（BMOGWO）的线性收敛因子，以在探索和开发之间达到良好平衡。然后，通过与原始BMOGWO和传统二进制多目标粒子群优化（BMOPSO）在12个多目标优化测试问题（MOTPs）和4个多目标背包问题（MOKPs）上比较，验证了CBMOGWO的性能。最后，通过具有高维混合设计变量和多个目标的紧凑型高隔离双频多输入多输出（MIMO）天线的示例，验证了我们的方法在降低计算成本方面的有效性。实验结果表明，与传统方法相比，CBMOGWO节省近一半的计算成本，这表明我们的方法对于复杂天线拓扑优化问题是高效的。它为基于多目标进化算法（MOEA）以灵活高效的方式探索新的和意想不到的天线结构提供了新思路。

关键词：天线拓扑优化；多目标灰狼算法；高维混合变量；快速设计

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一种新型灰狼优化算法及其在5G频率选择表面设计中的应用 Research Article

何志豪1,2,3,晋刚1,2,3,王英俊1,2,3

《信息与电子工程前沿（英文）》 2022年第23卷第9期页码 1338-1353 doi: 10.1631/FITEE.2100580

摘要：第五代无线通信系统(5G)的发展使元启发算法与电磁设备的设计过程结合得更为紧密。本文提出一种自适应灰狼优化器（SAGWO），并将其与一种基于单元节点的5G频率选择面（FSS）优化模型相结合。SAGWO包含3种改进策略：改进初始头狼的分配，增加随机探索能力和增强局部搜索能力，以加快收敛速度，有效避免局部最优。在基准函数测试中，SAGWO优于其他5种优化算法：原始灰狼优化器（GWO）、遗传算法（GA）、粒子群优化器（PSO）、改进灰狼优化算法（IGWO）和基于选择性对抗的灰狼优化算法（SOGWO）。因为SAGWO具有良好全局寻优能力，所以SAGWO适用于解决具有较大设计空间的5G FSS优化问题。将SAGWO与新的FSS优化模型相结合，能自动生成在中心工作频率处具有电磁屏蔽能力的FSS结构。为验证所提方法，本文设计了在28 GHz处具有电磁屏蔽能力的双层环形FSS。结果表明，优化后的FSS在中心频率处具有较好电磁干扰屏蔽能力和较高角稳定性。最后，制作并测试了优化后的FSS样品。

关键词：灰狼优化算法；第五代无线通信系统（5G）；频率选择面；形状优化

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Control algorithm of a servo platform

Shouyong XIE, Xiwen LI, Shuzi YANG, Mingjin YANG,

《机械工程前沿（英文）》 2010年第5卷第3期页码 353-355 doi: 10.1007/s11465-010-0098-6

摘要： According to the characteristics of the movement of a special-purpose three-axis servo platform, this paper presents an improved grey prediction proportional integral derivative (PID) control algorithm. Different weights at different time are given to different sampling moments in the algorithm, and the time meanings of the sample data are paid more attention. Simulation results show that the performance of response and stability of the platform of the improved algorithm is better than that of the traditional one. The control algorithm meets all requirements of the control system of the special-purpose three-axis servo platform.

关键词： grey prediction proportional integral derivative (PID) control improved algorithm weight servo platform

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改进的动态灰狼优化算法 Research Articles

张小青1,2,张玉叶1,明正峰2

《信息与电子工程前沿（英文）》 2021年第22卷第6期页码 887-890 doi: 10.1631/FITEE.2000191

摘要：在标准灰狼优化算法（GWO）中，搜索狼必须等到其他搜索狼与3个领导狼之间的比较完成后才能更新其当前位置矢量。正因为有此等待时间，标准GWO被视为静态GWO。为消除这种等待时间，提出两种动态GWO算法：第一种动态灰狼优化算法（DGWO1）和第二种动态灰狼优化算法（DGWO2）。在动态GWO算法中，当前搜索狼不需要等待所有其他搜索狼与领导狼的比较，在完成自身或前一匹搜索狼与领导狼的比较后，即可更新其位置矢量。动态GWO算法及时更新搜索狼的位置，提高了算法迭代收敛速度。以动态GWO算法结构为基础，对其他改进GWO算法也进行了一定的性能测验。实验证明，对同一改进GWO算法，以动态GWO结构为基础时的性能总体上优于以静态GWO结构为基础时的性能。

关键词：群智能；灰狼优化算法；动态灰狼优化算法；优化实验

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灰数灰度的一种公理化定义

刘思峰,林益

《中国工程科学》 2004年第6卷第8期页码 91-94

摘要：

基于对已有的几种灰数灰度定义的讨论，建立了灰数灰度定义的公理系统；以灰数灰度定义公理为准绳，由灰数产生的背景或论域及灰数取数域的测度构造出一种新的灰数灰度定义式。新定义克服了原有定义中存在的问题，较为科学地描述了灰数的不确定程度。

关键词：灰色系统灰数灰度测度公理化定义

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具有环形接收区域的微波无线能量传输发射天线口径场分布设计方法 Article

李勋, 段宝岩, 张逸群, 郭永新

《工程（英文）》 2023年第30卷第11期页码 63-74 doi: 10.1016/j.eng.2023.07.016

摘要：

本文提出了一种具有环形接收区域的微波无线能量传输发射天线口径场分布设计方法。该设计的目标是最大化辐射到环形接收区域上的微波功率与总传输功率的比值。通过将口径场幅度分布表示为一组特殊级数的求和，可将该最优设计问题简化为寻找两个实二次型的最大比值。基于矩阵论，可通过确定最大特征值及其对应的特征向量来解决该优化问题。为满足安全要求，将接收区域外的峰值辐射电平视为额外约束。为解决该约束优化问题，提出了将灰狼优化算法和Nelder-Mead单纯形法结合的混合优化方法。为证明所提方法的有效性，首先，对连续口径场分布进行数值仿真实验。然后，使用离散阵列天线来验证优化结果的正确性，其中单元假设为各向同性的点源。最后，采用微带贴片阵列来进一步验证所提出方法的有效性。

关键词：微波无线能量传输波束收集效率环形波束环形接收区域灰狼算法 Nelder-Mead单纯形法

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Multi-objective optimization of cutting parameters in high-speed milling based on grey relational analysis

Tao FU, Jibin ZHAO, Weijun LIU

《机械工程前沿（英文）》 2012年第7卷第4期页码 445-452 doi: 10.1007/s11465-012-0338-z

摘要：

This paper investigates optimization problem of the cutting parameters in high-speed milling on NAK80 mold steel. An experiment based on the technology of Taguchi is performed. The objective is to establish a correlation among spindle speed, feed per tooth and depth of cut to the three directions of cutting force in the milling process. In this study, the optimum cutting parameters are obtained by the grey relational analysis. Moreover, the principal component analysis is applied to evaluate the weights so that their relative significance can be described properly and objectively. The results of experiments show that grey relational analysis coupled with principal component analysis can effectively acquire the optimal combination of cutting parameters and the proposed approach can be a useful tool to reduce the cutting force.

关键词： high-speed milling grey relational analysis principal component analysis parameters optimization

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Reliability analysis on civil engineering project based on integrated adaptive simulation annealing and gray correlation method

Xiao-ping BAI,Ya-nan LIU

《结构与土木工程前沿（英文）》 2016年第10卷第4期页码 462-471 doi: 10.1007/s11709-016-0361-y

摘要： Dynamic reliability is a very important issue in reliability research. The dynamic reliability analysis for the project is still in search of domestic and international research in the exploration stage. By now, dynamic reliability research mainly concentrates on the reliability assessment; the methods mainly include dynamic fault tree, extension of event sequence diagram and Monte Carlo simulation, and et al. The paper aims to research the dynamic reliability optimization. On the basis of analysis of the four quality influence factors in the construction engineering, a method based on gray correlation degree is employed to calculate the weights of factors affecting construction process quality. Then the weights are added into the reliability improvement feasible index (RIFI). Furthermore, a novel nonlinear programming mathematic optimization model is established. In the Insight software environment, the Adaptive Simulated Annealing (ASA) algorithm is used to get a more accurate construction subsystem optimal reliability under different RIFI conditions. In addition, the relationship between construction quality and construction system reliability is analyzed, the proposed methods and detailed processing can offer a useful reference for improving the construction system quality level.

关键词： civil engineering dynamic reliability grey relational degree adaptive simulated annealing algorithm

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基于区间数的多指标灰靶决策模型的研究

党耀国,刘思峰,刘斌

《中国工程科学》 2005年第7卷第8期页码 31-35

摘要：

现实生活中遇到的许多问题都具有不确定性，使得在对系统进行决策评估时，指标值难以精确化。在此情形下，人们常常对指标值给出一个区间，到目前为止，尚未有人研究区间数灰靶决策。首先定义了区间数、m维区间数的距离及其距离性质，并证明了当区间数为实数时，区间数距离就是实数距离的推广；提出了区间数规范化方法，在此基础上, 建立了基于区间数的灰靶决策模型，从而把灰靶决策模型由实数序列拓展到区间数序列，使灰靶决策理论得到发展，同时为扩大灰靶决策的应用领域提供了理论根据。最后以实例验证了该模型的有效性与实用性。

关键词：区间数灰靶决策模型应用

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Application of grey-taguchi method for optimization of dry sliding wear properties of aluminum MMCs

Rajesh SIRIYALA, Gopala Krishna ALLURU, Rama Murthy Raju PENMETSA, Muthukannan DURAISELVAM

《机械工程前沿（英文）》 2012年第7卷第3期页码 279-287 doi: 10.1007/s11465-012-0329-0

摘要：

Through a pin-on-disc type wear setup, the dry sliding wear behavior of SiC-reinforced aluminum composites produced using the molten metal mixing method was investigated in this paper. Dry sliding wear tests were carried on SiC-reinforced metal matrix composites (MMCs) and its matrix alloy sliding against a steel counter face. Different contact stresses, reinforcement percentages, sliding distances, and sliding velocities were selected as the control variables, and the responses were selected as the wear volume loss (WVL) and coefficient of friction (COF) to evaluate the dry sliding performance. An L25 orthogonal array was employed for the experimental design. Initially, the optimization of the dry sliding performance of the SiC-reinforced MMCs was performed using grey relational analysis (GRA). Based on the GRA, the optimum level parameters for overall grey relational grade in terms of WVL and COF were identified. Analysis of variance was performed to determine the effect of individual factors on the overall grey relational grade. The results indicated that the sliding velocity was the most effective factor among the control parameters on dry sliding wear, followed by the reinforcement percentage, sliding distance, and contact stress. Finally, the wear surface morphology and wear mechanism of the composites were investigated through scanning electron microscopy.

关键词： aluminum ANOVA (analysis of variance) grey relational analysis metal matrix composites SiC particulates Taguchi

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区间灰数表征与算法改进及其GM(1,1)模型应用研究

方志耕,刘思峰,陆芳,万军,刘斌

《中国工程科学》 2005年第7卷第2期页码 57-61

摘要：

针对目前区间灰数的表征和运算过程中存在着较为严重的问题，即：运算结果对灰数的灰度进行不必要的放大，造成信息的严重失真，笔者定义了标准区间灰数与第一和第二标准区间灰数的概念，分析了第一和第二标准区间灰数之间的关系，进一步设计了普通区间灰数与标准区间灰数之间的转换规则，提供了标准区间灰数之间的比较与运算法则，较好地解决了区间灰数之间的大小比较与运算问题。最后，将这一研究成果应用于基于区间数的GM (1, 1)模型预测问题，取得了良好的效果。

关键词：区间灰数标准区间灰数表征 GM(1 1)模型运算规则