基于区间的不确定多目标优化方法研究

基于非线性区间优化,提出了一种不确定多目标优化方法.基于区间序关系和区间可能度,把不确定多目标的目标函数和约束转化为确定性的目标函数和确定性的约束.对于复杂的工程优化问题,为了提高效率,采用拉丁方试验设计方法,构建响应面近似模型,并基于近似模型进行不确定多目标优化,从而形成了非线性区间优化方法与近似模型相结合的高效不确定多目标优化方法.数值算例表明了该方法的有效性和工程实用性.     

结构损伤的非概率区间识别方法

基于结构时域加速度响应,利用区间分析方法对具有外界激励和测量数据不确定性的结构系统进行损伤识别.不确定性量被处理为有界区间数,基于参考有限元模型和被测加速度响应,经过提出的两步模型参数的区间修正方法分别得到了未损伤和损伤结构区间模型,进而通过定义的PoDE(Possibility of Damage Existence)确定了结构各单元的损伤可能性.最后以十杆平面桁架系统为例,对区间方法与概率方法的损伤识别结果进行对比,讨论了损伤程度和不确定度对识别结果的影响,结果表明了本文方法的可行性与有效性.     

A multi-objective optimization method for uncertain structures based on nonlinear interval number programming method

A multi-objective optimization method for uncertain structures is developed based on nonlinear interval number programming (NINP) method. The NINP method is employed to transform each uncertain objective function into a deterministic single-objective optimization problem. Using the constraint penalty function method, a deterministic multi-objective and non-constraint optimization problem is formulated in terms of penalty functions. Then the micro multi-objective genetic algorithm and the intergeneration projection genetic algorithm are adopted as outer layer and inner optimization operator to solve the nesting optimization problem, respectively. Finally, four numerical examples are provided to demonstrate the effectiveness of the present method.     

连续区间数的中位算子及其灵敏度分析

研究决策信息以区间数形式给出的方案决策问题。考虑到区间数非均匀分布的特点,为避免区间极端值在区间数确定中产生较大误差,本文将中位数概念运用到区间数的确定上,提出OIP(Ordered Interval Point)有序中位算子。取单位区间单调函数(BUM函数)为二分之一所表示的值为权重,将区间数确定为一个实数,并研究算子单调性和有界性的初等运算性质。通过比较OIP算子与COWA算子对态度参数和区间长度的反应灵敏度,获得了在一定条件下OIP算子对态度参数反应更稳健,对区间长度反应更灵敏的结论。最后用算例证明该算子的可行性和有效性。     

多值不确定型直觉模糊识别决策方法

基于模糊环境给出多值不确定型直觉模糊集的概念,定义了集合的交、并、包含等基本运算性质。通过刻画集合间的相似程度,提出八个新的相似度公式。最后将相似度应用于识别决策,说明公式的实用性和有效性。     

关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记

通过Monte-Carlo模拟说明目前用于求解两参数Birnbaum-Saunders疲劳寿命分布尺度参数的2种方法可能无法得到尺度参数的区间估计.进一步指出,在利用广义枢轴量法给出尺度参数以及参数函数的置信区间过程中存在错误,并用反例进行了说明,同时给出了正确的证明.     

光谱技术结合BiPLS-GA-SPA和ELM算法的生菜冠层氮素含量检测研究

氮素是影响生菜产量和品质的重要因素,光谱技术是检测作物氮素含量最有效的手段之一。通过获取不同氮素水平下生菜冠层的反射光谱,对其进行FDSGF（first-order derivative based savitzky-golay filt）滤波后,利用后向区间偏最小二乘算法（BiPLS）、遗传算法（GA）及连续投影算法（SPA）对特征波长进行梯度提取,最终从2 151个波长点中提取了8个与生菜氮素最为相关的特征波长。分别利用多元线性回归（MLR）、径向基函数神经网络（RBFNN）及极限学习机（ELM）三种算法建立了基于特征波段或特征波长的8个生菜冠层氮素含量检测模型。结果表明： BiPLS-GA-SPA-ELM模型（RMSEC=0.241 6%,R_c=0.934 6,RMSEP=0.284 2%,R_p=0.921 8）的预测结果优于其他模型,为指导合理施肥和开发便携式仪器提供了理论基础。     

A hybrid-type quantum random number generator

This paper proposes a well-performing hybrid-type truly quantum random number generator based on the time interval between two independent single-photon detection signals, which is practical and intuitive, and generates the initial random number sources from a combination of multiple existing random number sources. A time-to-amplitude converter and multichannel analyzer are used for qualitative analysis to demonstrate that each and every step is random. Furthermore, a carefully designed data acquisition system is used to obtain a high-quality random sequence. Our scheme is simple and proves that the random number bit rate can be dramatically increased to satisfy practical requirements.     

Non-intrusive hybrid interval method for uncertain nonlinear systems using derivative information

This paper proposes a new non-intrusive hybrid interval method using derivative information for the dynamic response analysis of nonlinear systems with uncertain-butbounded parameters and/or initial conditions. This method provides tighter solution ranges compared to the existing polynomial approximation interval methods. Interval arithmetic using the Chebyshev basis and interval arithmetic using the general form modified affine basis for polynomials are developed to obtain tighter bounds for interval computation.To further reduce the overestimation caused by the "wrapping effect" of interval arithmetic, the derivative information of dynamic responses is used to achieve exact solutions when the dynamic responses are monotonic with respect to all the uncertain variables. Finally, two typical numerical examples with nonlinearity are applied to demonstrate the effectiveness of the proposed hybrid interval method, in particular, its ability to effectively control the overestimation for specific timepoints.     

城市隧道穿越复合地层的合理微差时间间隔

以莞惠城际项目的“上软下硬”复合地层条件为依托,结合现场测试数据,采用理论与数值分析相结合的手段,开展城市隧道穿越复合地层中合理微差时间间隔的研究。研究结果表明:复合地层中微差爆破效果较好,第1、2炮适宜的微差时间间隔为50~70 ms;围岩条件相同,振动波形和主震相的持续时间均随着爆心距的增加而变长;而围岩条件变差时,振动波形更易出现波形叠加现象;随着微差时间间隔增加,第1、2炮产生的主震相逐渐分离,在0~35ms间降震率波动明显且整体上小于稳定降震率;在复合地层中,两测点爆心距相同时,成洞区上方测点受空洞效应影响显著,振速明显偏大。