条形装箱问题的优化模型和增广Lagrange算法

This paper formulates a two-dimensional strip packing problem as a non-linear programming(NLP)problem and establishes the first-order optimality con-ditions for the NLP problem.A numerical algorithm for solving this NLP problemis given to find exact solutions to strip-packing problems involving up to 10 items.Approximate solutions can be found for big-sized problems by decomposing the setof items into small-sized blocks of which each block adopts the proposed numericalalgorithm.Numerical results show that the approximate solutions to big-sized prob-lems obtained by this method are superior to those by NFDH,FFDH and BFDHapproaches.     

~2样本深度的基本性质

本文讨论由L2深度修正得到的L2深度相应的样本深度的性质,得到了样本深度的相合性和渐近正态性,并证明了它在任意紧集上的一致相合性．最后,基于上述性质简要讨论了样本深度等高的一些性质．     

两个ιp(Γ,E)型空间的单位球面间满等距映射的表现定理及等距延拓

本文得到两个实的ιp(Γ,E)型空间单位球面之间满等距映射的表现定理(这里,1≤p＜+∞,p≠2,E为内积空间),并导出上述映射可延拓为全空间上的实线性等距算子.     

Practical absorption limits of MPP absorber

The construction and properties of microperforated panel (MPP) absorber are discussed. The absorption limit of the absorber had been shown that low values of the perforate constant k = d(f/10)1/2 and the orifice diameter d (in mm) are essential for MPP to have high absorption in wide frequency band. To find the exact limits, take 1 for k as a start, because both specific resistance and high absorption require k around one. And the orifice diameter d is chosen as 0.1 mm, so that the peak absorption coefficient (resonance absorption) is at 1000 Hz, and high sound frequency may be in the absorption region. Is it possible for a single layer of such an MPP to cover the whole absorption region required in practice? The half-absorption limit is not a good criterion, because low absorption comes in also in some cases. The 0.5 absorption coefficient limit is suggested for practical region, as a standard for comparison. Absorption curves were drawn for different load resistances, of absorption coefficients versus frequency. Ordinary MPP absorber absorbs in slightly over two octaves, and the new absorber with r = 1 (specific resistance equal to the characteristic impedance in air)is slightly better than these, 2.5 octaves. The new absorbers with r > 1, are much better than these, and some satisfies high absorption in broad frequency range. Realization of these will mean great progress of MPP absorbers.     

D_x-广义正定矩阵

讨论Dx广义正定阵的问题,给出了Dx广义正定阵的一些等价性的刻划,同时还讨论了Dx广义正定阵的若干性质.     

人力资本培训投资的博弈分析

针对人力资本组合投资模式仅定性分析职员和企业对人力资本投资行为的特点，应用博弈论进行了相应的定量分析，将贝克尔投资模式与组合投资模式相结合，建立了确定企业投资比率的计算公式，为企业进行人力资本培训投资提供了定量的决策依据。     

基于上海激光电子γ源的天体核合成关键反应12C(α,γ)16O的反应率研究

正在研制的上海激光电子γ源是MeV量级的高品质γ光束线站，基于该装置可以开展一系列核天体物理实验, 从而更准确的确定各天体核合成反应的反应率. 本文研究了天体核合成中的关键反应¹²C(α,γ)¹⁶O的反应率. 根据多组实验和理论截面数据分别计算了反应率, 并给出了这些反应率计算结果的平均值和统计误差. 根据该结果拟合了理论反应率的解析形式, 确定了新的参数. 进而给出俘获反应¹²C(α,γ)¹⁶O在He燃烧环境下的反应率和误差, 并讨论了电子屏蔽效应对天体反应率的修正.     

一种带时间窗和车辆数目限制的车辆路线问题及其算法

本文提出了带时间窗和车辆数目限制的车辆路线问题的数学模型,针对该问题的特征构造了一种路线生成算法和禁忌搜索算法,并对Solomon提出的C1、R1、RC1类数据集给出了数值运算的结果,实验结果表明算法是有效的.     

开关布局中本质不同的开关线路计算

通过对开关布局问题的研究，来解决一类象开关线路一样比较特殊，比较复杂的布局优化问题。从而寻找出这类问题的全局优化算法。本应用对称群对集合的作用，轨道，不动点等讨论了开关布局问题，给出了本质不同的开关线路个数的计算公式。     

短脉冲激光辐照下金属镜面波纹损伤机理研究

用脉冲Nd：YAG激光(波长1．06μm、半高宽10ns)辐照了多种金属膜层镜面，用光学与原子力显微镜观察到某些样品损伤区或周围有规律的波纹图案，波纹周期从几微米到几十微米。通过分析实验结果，这里提出了波纹产生的光学模型，认为光路系统中某些元件的衍射或者强光与元件表面相互作用过程中产生的干涉可能会导致元件表面波纹状损伤图案。通过理论计算，初步解释了实验中波纹的周期和其他现象。