基于KKT和量子遗传算法的风火电联合上网最优决策

研究了同时考虑节能减排效益和经济效益时,风火电联合上网的决策模型,并采用提出的KKT框架下的量子遗传算法进行模型的求解。综合考虑风电和火电的特点,建立经济效益函数和节能减排效益函数以及相关的约束条件,最终确立多目标决策模型。在KKT框架下将多目标函数转化为单目标,并利用量子遗传算法进行模型的求解。算例分析显示本文提出的KKT框架下的量子遗传算法在决策模型的求解时能够利用更少的CPU运行时间获得更优的决策结果,与其他常用的优化模型相比具有较高的优越性。     

A Joint Integral Test for the Locations of Extrema for Brownian Motion

Let μ⁺(t) and μ⁻(t) be the locations of the maximum and minimum, respectively, of a standard Brownian motion in the interval [0,t]. We establish a joint integral test for the lower functions of μ⁺(t) and μ⁻(t), in the sense of Paul Lévy. In particular, it yields the law of the iterated logarithm for max(μ⁺(t),μ⁻(t)) as a straightforward consequence. Our result is in agreement with well-known theorems of Chung and Erdős [(1952) Trans. Amer. Math. Soc. 72, 179–186.], and Csáki, F?ldes and Révész [(1987) Prob. Theory Relat. Fields 76, 477–497].      

Reservoir operations optimization via fuzzy criterion decision processes

In this paper, we propose the treatment of complex reservoir operation problems via our newly developed tool of fuzzy criterion decision processes. This novel approach has been shown to be a more flexible and useful analysis tool especially when it is desirable to incorporate an expert’s knowledge into the decision models. Additionally, it has been demonstrated that this form of decision models will usually result in an optimal solution, which guarantees the highest satisfactory degree. We provide a practical exemplification procedure for the models presented as well as an application example.     

Separate continuity, joint continuity and the Lindelöf property

In this paper we prove a theorem more general than the following. Suppose that is Lindelöf and -favourable and is Lindelöf and Cech-complete. Then for each separately continuous function there exists a residual set in such that is jointly continuous at each point of .

     

中国福利彩票销售额影响因素分析与基于残差主成分分析的预测

本文应用多元回归分析的方法讨论了中国各省份福利彩票销售额与国民经济、就业人员和职工工资、财政、固定资产投资、人民生活这五个大类中的22个预测变量之间的相关关系,找出了对彩票销售额有显著性影响的变量,此外我们发现,不同年份的数据所得到的残差存在强相关性,本文利用主成分分析的观点提取出了不同年份残差中的公共信息,最后得出彩票销售额的预测方程,利用上述方程对2007年各省份的彩票销售额进行预测,并与真实的销售额数据进行对比,获得了较小的平均相对预报误差.这说明本文所建立的模型确实可以对中国的福利彩票销售额进行有效的预测.     

Some Finite Time Ruin Problems in Markov-Modulated Risk Model

This paper studies the distribution of finite-time ruin quantities. It gives the probability mass function of finite time number of claims, and find the distribution function of aggregate claims by using discretise method and compared with exact distribution function, which shows that the approximation works very well. In addition, by applying decomposition for density function, it gives the explicit expression for joint density of ruin time and deficit at ruin.     

A Generalization of the Mean Size Formula of Wavelet Packets in Lp

The purpose of this paper is to investigate the mean size formula of wavelet packets in Lp for 0 〈 p ≤ ∞. We generalize a mean size formula of wavelet packets given in terms of the p-norm joint spectral radius and we also give some asymptotic formulas for the Lp-norm or quasi-norm on the subdivision trees. All results will be given in the general setting,     

电磁热效应裂纹止裂的实验研究

通过本文给出的实验表明：利用电磁场的热效应对载流导体中的裂纹进行止裂是一种行之有效的方法。在电磁场作用瞬间,由于裂尖处的热集中效应,能够使其在附近一定范围内熔化形成微小焊口。由此,裂纹前缘处的曲率半径增加了2-3个数量级。同时,细化了裂纹前缘的显微组织,提高了材料的韧性,显著地减少了应力集中,阻止了干线裂纹源的形成,可有效地遏制了裂纹的扩展。文中介绍了实验原理、方法和结果;讨论了一些参数之间的关系。     

材料交界面上连续应力分析的改进拉氏乘子法

引进材料界面的节理单元,以其刚度参数为罚参数,利用代表界面接触应力的拉氏乘子,通过迭代求解得到界面上的应力,为计算粘结在一起的不同材料交界面上的应力提供了一种非常有效的方法。