两个高度非协调板元的新变分公式

本文给出了不完全双二次非协调板元和完全三次非协调板元的新变分公式，目的在于降低对泛函ｆ的要求和简化实际计算，同时也分析了非敛性，给出了收敛阶。最后指出本文所用的方法也适应于其它通过广义名片检查的高度非调板元。     

基于Hall定理的电动汽车充电服务匹配机制研究

立足未来,大规模电动汽车形成的庞大充电服务市场的有效运行,有赖于电能供求双方匹配交易的顺利完成.基于二分图匹配Hall定理,提出了一种考虑电动汽车、充电设施和电网三方优化的整体框架,并给出了一轮充电服务市场化运行下饱和电动汽车集合的最优匹配方案,算例仿真演示了该机制下的充电匹配交易过程,最后指出了充电服务市场化运行机制下仍待进一步研究的系列重要科学问题,可为未来充电服务平台构建及相关研究提供参考.     

一个二重积分的计算方法及微机处理

一个二重积分的计算方法及微机处理蔡康盛（本溪冶金专科学校）在计算二重积分时，通常是把二重积分化为定积分。自然，与定积分一样，在实际计算中，往往会遇到被积函数是用表格形式给出，或者在化二重积分为二次积分过程中遇到原函数无法用初等函数表示的情形。因此，需...     

特征向量计算的神经网络方法

矩阵特征向量计算在实际问题中有着广泛应用，本文采用神经网络计算方法来研究主元分析（ＰＣＡ）和次元分析（ＭＣＡ）问题．我们首先考虑神经元的情况（ｐ＝１），给出了求矩阵最大特征元和最小特征元的算法。然后对多神经元性形（ｐ〉１），给出了抽取矩阵主元和次元的算法．和目前许多元知的算法不一样，在我们ＰＣＡ的算法中发迹矩阵的负号就能够得到ＭＣＡ问题的解。     

基于多元二次径向基神经网络的偏微分求解方法

为提高偏微分方程的计算求解精度,设计了以多元二次径向基神经网络为求解单元的偏微分计算方法,给出了多元二次径向基神经网络的具体求解结构,并以此神经网络为求解基础,给出了具体的偏微分计算步骤.通过具体的偏微分求解实例验证方法的有效性,并以3种不同设计样本数构建的多元二次径向基神经网络为计算单元,从实例求解所需的计算时间以及解的精度作对比,结果表明,采用基于多元二次径向基神经网络的偏微分方程求解方法具有求解精度高以及计算效率低等特点.     

一般域n重积分优化二次式数值算法

本文给出一般区域上n重积分优化二次式数值积分法,它在迭代计算过程中避免了重复计算,加速达到近似值精度,给出了误差估计式.     

最短区间估计问题研究

给出了正态分布总体及指数分布总体在给定置信水平下参数的最短区间估计.为便于实际工作者的应用,文章给出了计算用表.     

矩阵的广义特征值及特征向量的神经网络方法

矩阵特征值及特征向量计算在实际问题中有广泛的应用.应用神经网络方法来计算广义特征值及对应的特征向量,给出了相应的算法,并对给出的算法在数学上进行了严格证明.并用实例验证了其正确性.     

用有限元素法环形元素计算轴对称弹性体应力中一些积分的计算公式

本文考虑r—z平面上r≥0部分中的任意一个三角形区域△上的积分 gk=∫Z~K/r drdz k=0,1,2,…用△的顶点坐标来表示的计算公式。在轴对称问题的应力计算中,在有限元上取一次捅值多项式时,要用到k=0,1,2时的gk,取二次插值多项式时要用到k=0,1,2,3,4时的gk。取更高次插值多项式时要用到k更大时的gk。由于实际计算的需要,在文[1],[2],[3]中都给出了gk,k=0,1,2的计算公式,但计算量都比较大;至于k=3,4或更大时     

潜艇充电系统可靠性模型

通过统计建模的方式,建立了潜艇充电系统的可靠性模型.采用计算机仿真的方式给出了仿真结果,仿真结果与理论结果非常吻合.     

Does battery management matter? Performance evaluation and operating policies in a self-climbing robotic warehouse

Our research is motivated by battery management in a new self-climbing robotic (SCR) system. The SCR system fully depends on battery-powered robots for tote movements. Therefore, battery management plays an important role and considerably impacts the system performance. This paper investigates the decision of battery charging technology (fast charging versus slow charging) taking into account the battery degradation, the battery charging policy (priority charging policy and dedicated charging policy), and the optimal number of chargers in the system. The paper also optimizes battery management in the SCR system by establishing semi-open queuing networks (SOQNs). The analytical models are solved by the approximate mean value analysis and are validated by simulation models. We find several interesting managerial insights: (1) In the operational policies, although fast charging can decrease the throughput time, we find a new condition when slow charging outperforms fast charging in robotic warehouses. (2) The priority charging policy is more cost-effective than the dedicated charging policy. (3) We also find a decision tool to determine the optimal number of chargers to satisfy the maximum allowed throughput time with the minimum cost.     

目的地充电站电动汽车充电设施优化配置

为了研究城市商业区目的地充电站的设施优化问题,本文在充分考虑快、慢充电设施充电时间的差异性和顾客在目的地接受充电时间异质性的基础上,构建了针对两类服务设施的排队论模型,同时以将同类型服务设施并联视为一台大型服务设施为出发点,这一出发点的可行性通过对M/M/1和M/M/n模型的相关指标值比对进行了验证;然后,在窗口能力不等的多服务窗排队系统中纳入已并联的快充与慢充充电设施,在获得模型基本参数基础上,再运算得到稳态方程及相关指标值,在此基础上构建了使用方与建设方综合服务费用最小的目标函数。本文末对所提出方法可行性与优越性由算例与对比分析进行了证实。     

含未知参量的连续时间系统的Kalman—Bucy滤波

该文讨论了含有未知参量的连续时间系统，得到了未知参量和系统状态的最小方差线性无偏估计的公式，使未知参量的辨识和系统状态的滤波同时进行．     

发展流动与形成流动

本文着重研究振荡状态下的管流问题.从基本的Navier-Stokes方程出发,进行线性化之后采用虚宗量Bessel函数的方法求解,得出了一组描述圆管振荡状态下发展流动的速度分布、压力分布公式.它们较之Atabek等人推导的公式更为简明和易于计算.并且,在相同的条件下简化为形成流动的表达式后,两者的公式完全一致.数值计算还表明,本文公式的理论结果无论是和Atabek等人的理论计算结果比较,还是和他们的实验结果比较,都是相当一致的.     

条件概率真度的相似度及伪距离

基于条件概率的思想,在连续值命题逻辑系统中引入赋值密度函数概念,给出了公式的概率真度、条件概率真度的定义,定义了公式间的相似度和伪距离并证明了概率真度的推理规则.     

血液流动与血管壁运动

本文讨论了哺乳动物循环系统的血液流动与血管壁运动之间的相互作用问题.在假定流动处于稳定的振荡流动情况下,导得了一组血液流动速度分布公式,压力分布公式以及约束应力公式,管壁位移公式.把Kuchar的公式从定常流动情况推广到非定常的振荡流动情况.文中还讨论了动脉血管壁的弹性效应问题.     

Smart charging profiles for electric vehicles

Electric vehicles (EVs) can help decarbonise the transportation sector, which is responsible for a great share of greenhouse gas emissions. Although different measures have been introduced to foster the penetration of EVs in the society, they have not been deployed at a large scale yet. Electric companies are concerned about the effects of introducing EVs into the grid, especially with a large amount. The charging pattern of EVs is the main factor that determines these effects. Unregulated charging (probably when returning home) would have undesirable consequences (e.g. increase in variable costs, emissions, reduction of reliability) for the system, it is therefore necessary to develop an “intelligent” charging strategy. These characteristics justify the existence of different smart charging profiles. It is also important to assess the effect of using day-ahead management systems instead of pre-set profiles. This document compares different possible strategies for charging EVs and their consequences in the power system. The impact on variable costs, emissions and renewable energy sources integration will be obtained using an operation planning model. The Spanish power system for 2020 is analysed under different EV penetration levels and charging strategies. The results show the benefits of using smart charging profiles instead of an unregulated profile, obtaining large cost reductions and maintaining system reliability levels. Moreover, the benefits of using a day-ahead management system are also evaluated, resulting in a small reduction of system variable cost compared to the use of pre-defined charging profiles.     

Sparsity-promoting distributed charging control for plug-in electric vehicles over distribution networks

Uncoordinated charging of plug-in electric vehicles brings a new challenge on the operation of a power system as it causes power flow fluctuations and even unacceptable load peaks. To ensure the stability of power network, plug-in charging needs to be scheduled against the base load properly. In this paper, we propose a sparsity-promoting charging control model to address this issue. In the model, the satisfaction of customers is improved through sparsity-promoting charging where the numbers of charging time slots are optimized. Dynamic feeder overload constraints are imposed in the model to avoid any unacceptable load peaks, and thus ensure the network stability. Then, a distributed solution strategy is developed to solve the problem based on the alternating direction method of multipliers (ADMM) since most of power networks are managed typically in a distributed manner. During solving process, Lagrangian duality is used to transform the original problem into an equivalent dual problem, which can be decomposed into a set of homogeneous small-scaled sub-problems. Particularly, each sub-problem either has a closed-form solution or can be solved locally by an accelerated dual gradient method. The global convergence of the proposed algorithm is also established. Finally, numerical simulations are presented to illustrate our proposed method. In contrast to traditional charging models, our sparsity-promoting charging model not only ensures the stability of power network, but also improves the satisfaction of customers.     

Direct and Inverse Scattering Problem for Canonical Systems with a Strictly Pseudo – Exponential Potential

Explicit formulas are given for the solutions of the direct and inverse scattering problems for a canonical differential system with a strictly pseudo–exponential potential. The proofs are self–contained and employ state space techniques from mathematical system theory. The paper supplements an earlier paper of the first two authors where explicit formulas were given using Marchenko's approach, and an earlier paper of the last three authors where self–contained proofs were given for the corresponding direct and inverse spectral problems. Two types of factorizations of the scattering matrix function appear and connections between them are considered.     

多值逻辑的古典方法

本文给多值逻辑一个古典逻辑观察方法。通过引入断词，勾通了多值逻辑与古典逻辑的联系，使全部古典理论在多值逻辑中都有直接应用；规定一类多值公式与古典公式的对应，从而建立起一类多值公式的公理系统，得出一些结果。