Optimal Insurance with Background Risk under the Ambiguity and Belief Heterogeneity Structure

In this paper, we discuss the optimal insurance in the presence of background risk while the insured is ambiguity averse and there exists belief heterogeneity between the insured and the insurer. We give the optimal insurance contract when maxing the insured’s expected utility of his/her remaining wealth under the smooth ambiguity model and the heterogeneous belief form satisfying the MHR condition. We calculate the insurance premium by using generalized Wang’s premium and also introduce a series of stochastic orders proposed by [1] to describe the relationships among the insurable risk, background risk and ambiguity parameter. We obtain the deductible insurance is the optimal insurance while they meet specific dependence structures.

DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL ORDER SINGULAR LESLIE-GOWER PREY-PREDATOR MODEL

In this article,we investigate a fractional-order singular Leslie-Gower prey-predator bioeconomic model,which describes the interaction bet ween populations of prey and predator,and takes into account the economic interest.We firstly obtain the solvability condition and the st ability of the model sys tem,and discuss the singularity induced bifurcation phenomenon.Next,we introduce a st ate feedback controller to elimina te the singularity induced bifurcation phenomenon,and discuss the optimal control problems.Finally,numerical solutions and their simulations are considered in order to illustrate the theoretical results and reveal the more complex dynamical behavior.

Optimal Selection Model of Equipment Design Scheme Based on Set Pair Analysis

Selecting the optimal one from similar schemes is a paramount work in equipment design.In consideration of similarity of schemes and repetition of characteristic indices,the theory of set pair analysis(SPA)is proposed,and then an optimal selection model is established.In order to improve the accuracy and flexibility,the model is modified by the contribution degree.At last,this model has been validated by an example,and the result demonstrates the method is feasible and valuable for practical usage.

Multi-Material Topology Optimization of Structures Using an Ordered Ersatz Material Model

This paper proposes a new element-based multi-material topology optimization algorithm using a single variable for minimizing compliance subject to a mass constraint.A single variable based on the normalized elemental density is used to overcome the occurrence of meaningless design variables and save computational cost.Different from the traditional material penalization scheme,the algorithm is established on the ordered ersatz material model,which linearly interpolates Young’s modulus for relaxed design variables.To achieve a multi-material design,the multiple floating projection constraints are adopted to gradually push elemental design variables to multiple discrete values.For the convergent element-based solution,the multiple level-set functions are constructed to tentatively extract the smooth interface between two adjacent materials.Some 2D and 3D numerical examples are presented to demonstrate the effectiveness of the proposed algorithm and the possible advantage of the multi-material designs over the traditional solid-void designs.

Studying the Impact of Vaccination Strategy and Key Parameters on Infectious Disease Models

In the current work, we study two infectious disease models and we use nonlinear optimization and optimal control theory which helps to find strategies towards transmission control and to forecast the international spread of the infectious diseases. The relationship between epidemiology, mathematical modeling and computational tools lets us to build and test theories on the development and fighting with a disease. This study is motivated by the study of epidemiological models applied to infectious diseases in an optimal control perspective. We use the numerical methods to display the solutions of the optimal control problems to find the effect of vaccination on these models. Finally, global sensitivity analysis LHS Monte Carlo method using Partial Rank Correlation Coefficient (PRCC) has been performed to investigate the key parameters in model equations. This present work will advance the understanding about the spread of infectious diseases and lead to novel conceptual understanding for spread of them.

Application of Optimal Control to the Epidemiology of Dengue Fever Transmission

In this paper, we build an epidemiological model to investigate the dynamics of the spread of dengue fever in human population. We apply optimal control theory via the Pontryagins Minimum Principle together with the Runge-Kutta solution technique to a “simple” SEIRS disease model. Controls representing education and drug therapy treatment are incorporated to reduce the latently infected and actively infected individual populations. The overall thrust is the minimization of the spread of the disease in a population by adopting an optimization technique as a guideline.

Sliding Mode Control Design via Reduced Order Model Approach

This paper presents a design of continuous-time sliding mode control for the higher order systems via reduced order model. It is shown that a continuous-time sliding mode control designed for the reduced order model gives similar performance for thc higher order system. The method is illustrated by numerical examples. The paper also introduces a technique for design of a sliding surface such that the system satisfies a cost-optimality condition when on the sliding surface.

Fractional-Order Control of a Wind Turbine Using Manta Ray Foraging Optimization

In this research paper,an improved strategy to enhance the performance of the DC-link voltage loop regulation in a Doubly Fed Induction Generator(DFIG)based wind energy system has been proposed.The proposed strategy used the robust Fractional-Order(FO)Proportional-Integral(PI)control technique.The FOPI control contains a non-integer order which is preferred over the integer-order control owing to its benefits.It offers extra flexibility in design and demonstrates superior outcomes such as high robustness and effectiveness.The optimal gains of the FOPI controller have been determined using a recent Manta Ray Foraging Optimization(MRFO)algorithm.During the optimization process,the FOPI controller’s parameters are assigned to be the decision variables whereas the objective function is the error racking that to be minimized.To prove the superiority of the MRFO algorithm,an empirical comparison study with the homologous particle swarm optimization and genetic algorithm is achieved.The obtained results proved the superiority of the introduced strategy in tracking and control performances against various conditions such as voltage dips and wind speed variation.

Opti mal higher order learning adaptive control approach for a class of SISO nonlinear systems

In this paper, an optimal higher order learning adaptive control approach is developed for a class of SISO nonlinear systems. This design is model-free and depends directly on pseudo-partial-derivatives derived on-line from the input and output information of the system. A novel weighted one-step-ahead control criterion function is proposed for the control law. The convergence analysis shows that the proposed control law can guarantee the convergence under the assumption that the desired output is a set point. Simulation examples are provided for nonlinear systems to illustrate the better performance of the higher order learning adaptive control.

Nonlinear optimal model and solving algorithms for platform planning problem in battlefield

Platform planning is one of the important problems in the command and control(C2) field. Hereto, we analyze the platform planning problem and present nonlinear optimal model aiming at maximizing the task completion qualities. Firstly, we take into account the relation among tasks and build the single task nonlinear optimal model with a set of platform constraints. The Lagrange relaxation method and the pruning strategy are used to solve the model. Secondly, this paper presents optimization-based planning algorithms for efficiently allocating platforms to multiple tasks. To achieve the balance of the resource assignments among tasks, the m-best assignment algorithm and the pair-wise exchange(PWE)method are used to maximize multiple tasks completion qualities.Finally, a series of experiments are designed to verify the superiority and effectiveness of the proposed model and algorithms.

Quadratic investigation of geochemical distribution by backward elimination approach at Glojeh epithermal Au(Ag)-polymetallic mineralization, NW Iran

The correspondence analysis will describe elemental association accompanying an indicator samples.This analysis indicates strong mineralization of Ag,As,Pb,Te,Mo,Au,Zn and to a lesser extent S,W,Cu at Glojeh polymetallic mineralization,NW Iran.This work proposes a backward elimination approach(BEA)that quantitatively predicts the Au concentration from main effects(X),quadratic terms(X2)and the first order interaction(Xi×Xj)of Ag,Cu,Pb,and Zn by initialization,order reduction and validation of model.BEA is done based on the quadratic model(QM),and it was eliminated to reduced quadratic model(RQM)by removing insignificant predictors.During the QM optimization process,overall convergence trend of R2,R2(adj)and R2(pred)is obvious,corresponding to increase in the R2(pred)and decrease of R2.The RQM consisted of(threshold value,Cu,Ag×Cu,Pb×Zn,and Ag2-Pb2)and(Pb,Ag×Cu,Ag×Pb,Cu×Zn,Pb×Zn,and Ag2)as main predictors of optimized model according to288and679litho-samples in trenches and boreholes,respectively.Due to the strong genetic effects with Au mineralization,Pb,Ag2,and Ag×Pb are important predictors in boreholes RQM,while the threshold value is known as an important predictor in the trenches model.The RQMs R2(pred)equal74.90%and60.62%which are verified by R2equal to73.9%and60.9%in the trenches and boreholes validation group,respectively.

引入PID反馈的SHAEKF算法估算电池SOC

电池荷电状态(SOC)的估算精度是电动汽车电池组的重要指标。为提升SOC估算精度,在融合Sage-Husa扩展卡尔曼滤波(SHEKF)算法与自适应扩展卡尔曼滤波(AEKF)算法的基础上,增加比例积分微分(PID)反馈环节,形成改进算法。采用粒子群优化(PSO)算法对二阶RC等效电路模型进行参数辨识;用开源电池数据集对模型和算法进行实验和分析。改进的SHAEKF算法在电池动态应力测试(DST)、北京动态应力测试(BJDST)和美国联邦城市驾驶(FUDS)等工况下的平均估计误差都在1%以内,与单纯的融合算法SHAEKF算法相比,最大误差可减小5%。

SWISS整流器分数阶PID控制策略

针对SWISS整流器的传统整数阶PID控制策略动态响应速度较慢、鲁棒性较差的问题,提出一种基于分数阶PID的SWISS整流器控制策略。基于SWISS整流器的工作原理建立其小信号模型,得到SWISS整流器的等效传递函数,并设计基于分数阶PID电压控制的双闭环控制结构。为简化分数阶PID的阶次参数设计,采用整数阶PID参数预整定的方法得到参数初值,并利用粒子群算法对分数阶PID控制器参数进行进一步设计优化。仿真和实验结果表明,分数阶PID控制策略下的SWISS整流器发生参考电压突变时电压稳定时间小于7 ms、超调量小于2%,发生负载扰动时电压稳定时间小于4 ms、超调量小于3%,动态性能优于整数阶PID控制策略。

基于Kriging模型与FORM的钢板组合梁桥结构优化设计

考虑材料参数的不确定性以及设计变量多重约束条件的影响,提出了基于可靠性分析的钢板组合梁桥结构优化设计方法。首先,利用拉丁超立方试验设计(Latin hypercube design,LHD)构建试验组合方案,并通过有限元分析获取试验设计组合下的最大挠度响应值。基于获取的训练样本,构建能够表征结构最大挠度值与随机输入之间映射关系的Kriging代理模型。基于建立的代理模型,以钢结构截面积最小化为目标函数,建立符合规范要求与可靠度约束的优化数学模型,并采用一阶可靠性方法(first order reliability method,FORM),实现设计变量优化。通过比较具有相同设计变量上限,但下限分别为初始值的80%和70%两种优化设计方案,评估了两者在相同阈值以及不同阈值下设计变量的优化结果。最后对方案二在阈值为17 mm下的优化结果进行极限状态验算。结果表明:两个优化设计方案在阈值为17 mm下的优化结果更具合理性,并且方案二在同一阈值下具有更高的优化程度。随着阈值增加,优化程度增加,且腹板高度在较大阈值下对结果影响更大,而翼缘宽度在较小阈值下影响更大。

并网型直流微电网的非线性降阶建模及其估计吸引域的优化计算

面对“双高”电力系统的高维度、高随机性和强非线性,现有的建模和稳定性分析方法受限于维度、难以求解且准确度低。针对此问题,该文提出一个面向“双高”电力系统,包含非线性降阶建模和估计吸引域优化计算的稳定性分析框架。首先,考虑分布式光伏和恒功率负载的地理环境因素,应用Pioncáre规范理论,将并网型直流微电网的二次状态偏差模型依次进行分块降维、解耦和降阶变换,建立一阶二次微分方程形式的非线性降阶模型。然后,基于李雅普诺夫稳定判据,结合构造含辅助变量的最优化模型思想,并利用克罗内克积性质,提出估计吸引域的优化计算方法,构建优化的估计吸引域(optimalestimatedregionofattraction,OEROA)。最后,以分布式光伏云层遮蔽和恒功率负载扰动下的微电网系统作为算例,与基于LaSalle定理的李雅普诺夫法、Takagi-Sugeno(T-S)模糊模型法对比,验证所提方法构建的估计吸引域具有更低的保守性,以及所提分析框架的有效性。

基于空化效应的带排转矩模型优化及试验测试

某重型车辆混合动力传动系统湿式制动器在非制动作业时,由于油液的黏滞作用,摩擦副产生了带排转矩,造成功率损失。为能实现含有复杂沟槽结构流场的带排转矩精准预测,针对空气提前进入流场造成预测误差的问题,提出了一种通过空化数预测空化效应体积分数来优化带排转矩模型的方法。首先,通过不同工况下的模型计算,分析了转速、流量和间隙对空化效应体积分数的影响:随着转速提升,空化效应体积分数先增大后减小;更大的流量和更小的间隙都会使空化效应体积分数的最大值增大。接着,对湿式制动器带排转矩进行了试验测试,对比分析结果显示,优化后模型的预测误差小于6%,相比未考虑空化效应的模型,平均误差减小了55%。此外,还研究了空化效应后沟槽的复杂程度对带排转矩的影响。结果表明,沟槽结构越复杂,带排转矩越小。其中,径向槽的加入对带排转矩的影响最大,可使带排转矩减小约25.9%。研究可为湿式制动器的带排转矩精准预测和摩擦片结构优化提供支持和工程实践指导。

基于响应面法的船舶节能导管优化设计

以水动力节能装置经典伴流补偿导管为研究对象,提出利用响应面模型综合评价导管设计参数并进行优化.以导管结构特征尺寸为设计参数,建立节能导管的参数化模型.以KP505螺旋桨和节能导管耦合的水动力计算结果为响应参数,生成响应面模型.将螺旋桨效率提升比作为优化目标,将导管结构特征尺寸阈值作为约束条件,基于二阶响应面模型对导管进行结构优化设计,并对优化结果进行仿真验证,证明响应面模型的可靠性.结果表明,优化后桨-管系统的效率提升比增大了37.82%,说明利用构建的响应面模型对节能导管进行优化合理有效,可为其他类型的节能导管设计提供参考.

基于MOGWO的45#钢表面激光抛光工艺参数多目标优化

目的提高45#钢表面激光抛光后的成形质量,提出一种激光抛光工艺参数多目标优化方法。方法构建基于功率、扫描速度、搭接距离的三因素三水平激光抛光试验,并分别应用粗糙度测量仪、显微硬度计和超景深三维显微镜测试抛光层的粗糙度、显微硬度和抛光层深度。基于试验数据,分别应用指数模型和二阶响应面模型构建抛光工艺参数与表面粗糙度、显微硬度、抛光深度的回归预测模型,并对2种模型的预测精度进行对比分析。采用多目标灰狼优化算法(MOGWO)结合优劣解距离法(TOPSIS)-CRITIC综合评价决策体系对抛光工艺参数进行寻优和多属性决策。结果二阶响应面模型具有更高的预测精度,能够更好地反映激光抛光工艺参数与各响应目标之间的映射关系。当功率为113W、扫描速度为3m/min、搭接距离为0.13 mm时,粗糙度值Ra从11.563μm降至5.713μm,降幅为50.59%,显微硬度从185.9HV0.5升至364.7HV0.5,升幅为96.18%,此时的抛光深度为0.051 mm,最大相对误差为7.84%。结论此方法可以为其他金属材料表面激光抛光质量预测模型的构建及工艺参数寻优提供借鉴。

基于组合赋权和SPA-TOPSIS的煤矿安全投入决策模型

为解决煤矿安全投入结构和决策方案不合理的问题,首先基于安全价值的视角,考虑安全功能与安全产出关系,选取8个评价指标,构建煤炭企业安全投入评价体系;其次采用熵权法与层次分析法(AHP),综合确定指标权重;最后采用集对分析(SPA)理论改进逼近理想解排序法(TOPSIS),建立决策模型,用以分析评价某煤矿2012—2022年的决策方案,优选评价方案,并针对实际问题提出改善意见。研究表明:该煤矿企业应更注重安全教育和工业卫生指标的投入;煤矿企业在安全投入决策时应综合考虑安全功能需要与安全产出效益,借鉴最佳投入配置,合理调整未来安全投入决策重点。

基于交互引导的问答对联合生成模型

大规模问答对的自动生成在知识问答库构建和机器阅读理解等许多应用具有关键价值.尽管其重要性已得到广泛认可,现有问答对生成方法仍面临着严峻挑战.首先,在传统的问答对生成模型中,抽取式的答案获取方法难以适用于复杂的自然交互场景.相比较而言,生成式模型通过对文本的语义理解,能够自动生成表述更加自然的答案.其次,对于问答对生成任务来说,为了防止生成的答案和问题出现语义上的不匹配,需要更全面地捕捉并增强答案生成和问题生成两个子任务之间的交互.最后,由于答案抽取和问题生成存在任务难度的差异,这两个任务在联合训练的过程中会出现任务之间的优化不平衡问题.为此,本文提出了一个基于交互引导的问答对联合生成模型(Interaction-Guided Joint Abstractive QAPs Generation Model,IGJA-QAP).具体而言,本文设计了一个带有答案引导的多头门机制的联合生成模型,同时对两个子任务进行统一建模并有效地捕获和增强它们之间的信息交互,从而可以生成语义上匹配的问答对.本文在三个大规模数据集SQuAD、NewQA和CoQA上进行了综合全面的实验分析.本文提出的模型在答案生成任务上METEOR值平均分别超出其他最佳方法3.0%、5.9%和4.3%,问题生成任务上METEOR值平均分别超出其他最佳方法1.5%、0.5%和2.1%.实验结果表明,本文提出的模型达到了目前最高的性能.