竞争环境下多个损失规避零售商的 预先订购折扣合约研究

在展望理论框架下,考虑由多个存在竞争的损失规避型零售商和一个风险中性的供应商组成的供应链预先订购折扣合约问题,研究了供应商和零售商在预先订购折扣合约下的决策行为,研究表明,供应商通过预先订购折扣合约可以协调整个供应链.最后通过算例,分别得到了供应商和零售商在预先订购折扣合约下的最优决策行为以及能使得供应链达到协调的供应商的决策行为.     

具预警功能的三部件并联可修复系统的可靠性分析

研究了具有预警功能的三部件并联且有两个热备器的可修复系统,系统可转化为一个Banch空间上的抽象Cauchy问题.首先利用半群理论证明了该系统强解的存在唯一性,其次运用了代数方法证明了0是系统算子的简单本征值,最后对系统和不含预警功能的系统的可用度进行了比较分析.     

不同负冲角工况下透平叶栅二次流的数值模拟及分析

本文应用TVD格式和Baldwin－Lomax代数紊流模型求解三维NS方程，对一个透平直列叶栅流场在两个不同的负冲角工况下进行了数值模拟，给出了叶栅马蹄涡及其分离鞍点、通道涡、角涡等二次流涡系的结构及其产生发展过程，并对不同工况下的涡系结构及冲角的影响作了详细的分析和比较．本文结果有助于对叶栅二次流涡系结构的产生发展机制的深入了解，同时表明所用数值求解技术有较高的精度和分辨率。     

线性调频信号激励过阻尼双稳系统的随机共振现象研究

线性调频信号是工程中常见的一种信号, 由于其为非周期信号, 无法以频域信噪比作为衡量其是否产生随机共振的测量手段, 故鲜有文献研究以线性调频信号为激励信号的随机共振现象. 本文利用线性调频信号在最优分数阶Fourier变换域上的能量聚集性, 首次提出以最优分数阶Fourier变换域上定义的信噪比作为测量手段, 研究了线性调频信号叠加高斯白噪声激励过阻尼双稳系统的随机共振现象, 且发现了以线性调频信号为激励信号时产生的新现象, 即随着信号频率的增大, 随机共振将逐渐减弱, 并给出了合理的解释.仿真的结果与理论分析一致, 验证了本文所提出方法的有效性. 关键词： 线性调频信号 分数阶Fourier变换 随机共振     

ZnAl2O4：Tb3+荧光粉的合成、结构及其光学性能研究

通过溶胶-凝胶法制备出不同Tb³⁺掺杂浓度和不同二次煅烧温度下的ZnAl₂O₄:Tb³⁺荧光粉, 并利用X射线衍射(XRD)和荧光光谱等对样品进行了表征。由XRD结果可知,当Tb³⁺掺杂的摩尔分数不大于9%,二次煅烧温度在600℃以上时,所得粉体为结晶性良好的尖晶石相。在紫外光激发下,ZnAl₂O₄:Tb³⁺荧光粉的发射光谱由位于488 nm(⁵D₄→⁷F₆)、542 nm(⁵D₄→⁷F₅)、587 nm(⁵D₄→⁷F₄ )和621.5 nm(⁵D₄→⁷F₃)的4个发射峰组成。研究发现,Tb³⁺的掺杂浓度和二次煅烧温度对样品发光强度有着重要影响,当Tb³⁺的摩尔分数为5%,二次煅烧温度为900℃时,ZnAl₂O₄:Tb³⁺荧光粉的发光最强,继续增加Tb³⁺掺杂浓度或提高煅烧温度,分别会出现浓度猝灭和温度猝灭现象。     

Stochastic resonance in multi-scale bistable array

This Letter explores a new mechanism of stochastic resonance (SR) that is induced by the multi-scale noise decomposed from the input signal, which is promising in signal detection and processing under heavy background noise. The input signal is firstly decomposed to multi-scale signals by orthogonal wavelet transform. Then, the approximate signal, which contains the driving signal, is processed by an uncoupled parallel bistable array with the detailed signal of each scale as the internal noise. At last, a SR mechanism combining the effects of colored noise and array SR is proposed. The simulation results show that a high quality output signal can be obtained by the new mechanism. The proposed model is more adaptive to input signal with high noise intensity than single bistable SR system, which can be seen from the signal-to-noise ratio curves and average noise intensity curves.     

Analysis of Queueing Systems with Synchronous Single Vacation for Some Servers

We study a multi-server M/M/c type queue with a single vacation policy for some idle servers. In this queueing system, if at a service completion instant, any d (d c) servers become idle, these d servers will take one and only one vacation together. During the vacation of d servers, the other c–d servers do not take vacation even if they are idle. Using a quasi-birth-and-death process and the matrix analytic method, we obtain the stationary distribution of the system. Conditional stochastic decomposition properties have been established for the waiting time and the queue length given that all servers are busy.     

Design of thermo-optic tunable optical filter based on Si/Air DBR and polymer Fabry–Perot microcavity in SOI

An integrated tunable optical filter (TOF) based on thermo-optic effect in silicon on insulator (SOI) rib waveguide is designed and simulated. The device is comprised of two high refractivity contrast Si/Air stacks, functioning as high reflectivity of DBRs (distributed Bragg reflectors) and separating by a variable refractive index polymer Fabry–Perot (F–P) cavity. The designed device exhibits Q = 24077, FWHM = 0.065 nm and finesse = 566. Wavelength tuning is achieved through thermal modulation of refractive variation of the cavity. As the cavity polymer is heated, the refractive index of the cavity decreases. When the temperature of cavity polymer changes within 105, the central wavelength gets a continuous 35 nm shift from 1530 nm to 1565 nm, which can operate the whole C-band in the WDM (wavelength division multiplexing) networks. Moreover, by calculating, the tuning sensitivity is about 0.33 nm/°C. Owing to the compact size and excellent characteristics of integration, the proposed component has a promising utilization in spectroscopy and optical communication.     

基于压缩感知的振动数据修复方法

为解决旋转机械振动信号丢失数据修复的问题,提出一种基于压缩感知原理的振动数据修复方法.首先对采集到的不完整信号进行处理,将无信息输入时刻对应的数据用零元素填充得到有损信号,以单位矩阵为基础,根据有损信号中零元素的位置信息,构造对应于压缩感知框架下的观测矩阵;再根据待修复信号的特点并结合先验知识,构造或选择能够对振动信号进行稀疏表示的字典矩阵;然后使用高效且稳定的追踪算法,根据有损信号、观测矩阵以及字典矩阵重构原始信号,实现丢失振动数据的修复.使用仿真数据检验方法的有效性;使用实测的轴承振动状态数据验证方法对于振动数据的适用性,并通过比较完整信号、有损信号和修复信号对应的时域和频域特征值来检验数据修复效果.实验结果表明:本文方法能够有效地实现丢失数据的修复,且从统计特征的角度来看,相比于有损信号,修复信号能够更为准确地描述真实完整的振动信号.     

关于H.Yoshida的一个问题

H.Yoshida曾经提出下述问题:对级小于1/2的整函数f（z）,是否自原点出发的每一条射线,或者为它的Julia方向,或者在包含该射线的某个角域内当|z|→∞时有|f（z）|→∞.本文的结论表明对正则增长的整函数,H.Yoshida问题的答案是肯定的,而且对许多其他的Julia型方向,类似的问题的答案也是肯定的.