基于累积前景理论的石油管道路径方案优选

建立以一种基于前景理论的石油管道输送路径方案优选方法.首先依据决策者对各个属性的期望,将具有清晰数、区间数和语义短语三种形式的决策矩阵转化成为前景决策矩阵.其次,再利用主客观赋权偏差最小的思想,构建组合赋权模型,计算各个属性的权重;然后,根据决策者对待收益和损失的不同风险态度,计算各个方案的累积前景值.最后,以石化某油田外输管道路径方案问题为实例,介绍了该方法的决策流程,为解决同类工程方案优选问题提供了一种新的途径.     

基于分数布朗运动的具有信息影响的投资组合期权定价

假设标的资产价格服从分数布朗散运动,其价格跳跃度服从复合Poisson分布,采用拟鞅定价的方法,得到了具有信息影响的投资组合的期权定价公式.     

差分—等级依赖效用模型研究

等级依赖效用模型在决策权重设置上存在理论缺陷;差分-等级依赖效用模型在有限理性假设下,考虑结果差分变化对决策权重的影响,提出基于差分的决策权重与概率权重的组合权重控制机制,可克服等级依赖效用模型的缺陷;针对差分-等级依赖效用模型的检验表明模型可很好解释拆分效应;差分-等级依赖效用模型保持了等级依赖效用模型的理论框架,可对人们的风险决策行为做出更好的解释和预测.     

基于模糊收益率的养老保险基金投资研究

结合中国养老保险基金投资现状,考虑预期收益率是模糊数的情形,利用可能性均值和可能性方差作为投资组合的预期收益率和风险,建立均值-方差组合投资模型.最后,利用lingo软件进行数值分析,表明此模型具有一定的实际应用价值.     

N vacancy,substitutional O,and AI defects in the bandgap of composition-tunable nonstoichiometric AIN powder

AlN powders are prepared by direct nitridation via Al liquid and vapor phases in mixed atmospheres of N2 and NH3 with different NH3/N2 ratios. The reaction analysis reveals that NH3 acts as catalyst for N2 dissociation and the transportations of N, O, and Al in the liquid phase are different from those in the vapor phase. Accordingly, the products are Al-rich and composition-tunable nonstoichiometric AlN in which N, O, and Al content values change with nitridation atmosphere and temperature, leading to the variation of the relevant defect concentration. Therefore, the AlN powders exhibit prominent absorption bands around 5.30, 3.40, and 1.50 eV, which are tentatively assigned to VN, ON donors, and AlN acceptor respectively. Furthermore, a new donor named [VN-ON] complex is predicted at 4.40 eV within the 5.90 eV bandgap. It is demonstrated that the optical spectra of nonstoichiometric AlN are preferable to the nominal stoichimometric one for the identification of the defects energy level.     

大口径球面反射镜曲率半径的精确测量

介绍了大口径球面反射镜曲率半径的传统测量方法,提出了利用组合测杆结合激光干涉仪测量球面反射镜曲率半径的新方法。首先利用激光干涉仪检测球面反射镜的面型,调整干涉仪与被测镜的位置,使被测镜达到零条纹干涉状态,然后架设合理长度组合测杆,调整组合测杆靠近干涉仪端测量球头的位置,使之达到零条纹干涉状态,再使组合测杆另一端测头与镜面接触完成测量,通过计算分析即可得到被测球面镜的曲率半径。对该方法的基本测量原理进行了研究分析,并对口径为600 mm的望远镜球面主镜的曲率半径进行了多次测量,测得其曲率半径均值为2 836.774 mm,标准偏差为0.071 mm。最后对该方法的测量不确定度进行了分析,找出了影响测量精度的主要因素,合成标准不确定度为0.061 mm。     

AN ADAPTIVE MEMBRANE ALGORITHM FOR SOLVING COMBINATORIAL OPTIMIZATION PROBLEMS

Membrane algorithms （MAs）, which inherit from P systems, constitute a new parallel and distribute framework for approximate computation. In the paper, a membrane algorithm is proposed with the improvement that the involved parameters can be adaptively chosen. In the algorithm, some membranes can evolve dynamically during the computing process to specify the values of the requested parameters. The new algorithm is tested on a well-known combinatorial optimization problem, the travelling salesman problem. The em-pirical evidence suggests that the proposed approach is efficient and reliable when dealing with 11 benchmark instances, particularly obtaining the best of the known solutions in eight instances. Compared with the genetic algorithm, simulated annealing algorithm, neural net-work and a fine-tuned non-adaptive membrane algorithm, our algorithm performs better than them. In practice, to design the airline network that minimize the total routing cost on the CAB data with twenty-five US cities, we can quickly obtain high quality solutions using our algorithm.     

具有承袭性的高阶导数有理插值算法

切触有理插值是函数逼近的一个重要内容,而降低切触有理插值的次数和解决切触有理插值函数的存在性是有理插值的一个重要问题.切触有理插值函数的算法大都是基于连分式进行的,其算法可行性是有条件的,且计算量较大.利用Newton(牛顿)多项式插值的承袭性和分段组合的方法,构造出了一种无极点且满足高阶导数插值条件的切触有理插值函数,并推广到向量值切触有理插值情形;既解决了切触有理插值函数存在性问题,又降低了切触有理插值函数的次数.最后给出误差估计,并通过数值实例说明该算法具有承袭性、计算量低、便于编程等特点.     

含羧基硅氧烷的制备及其固化动力学研究

通过氯丙基甲基硅氧烷与过量的对苯二甲酸的缩合反应制备了一种新型的含羧基硅氧烷(CCS),CCS可以同双酚A型环氧树脂固化,根据Kissinger和Crane方程,用差热分析(DSC)对CCS和环氧树脂组合物的固化性能进行了分析。分析结果表明组合物固化反应的表观活化能为71.41 kJ.mol-1,反应级数为0.911;还给出了加热速度为10℃.min-1时的固化反应方程。     

用一个计数模型证明一类组合恒等式

本文给出了一个组合计数模型,首先证明组合恒等式的一边是此组合计数问题的解,再利用基本的计数原理证明组合恒等式的另一边也是该组合计数问题的解,并利用该方法证明了三个组合恒等式.