Stationary Distributions of GI/M/c Queue with PH Type Vacations

We study a GI/M/c type queueing system with vacations in which all servers take vacations together when the system becomes empty. These servers keep taking synchronous vacations until they find waiting customers in the system at a vacation completion instant.The vacation time is a phase-type (PH) distributed random variable. Using embedded Markov chain modeling and the matrix geometric solution methods, we obtain explicit expressions for the stationary probability distributions of the queue length at arrivals and the waiting time. To compare the vacation model with the classical GI/M/c queue without vacations, we prove conditional stochastic decomposition properties for the queue length and the waiting time when all servers are busy. Our model is a generalization of several previous studies.     

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.     

聚苯胺对2Cr13不锈钢无氧钝化的机理探讨

将掺杂态聚苯胺（PANI）制备成单独的PANI膜电极,研究了该电极在敞开、除氧条件下,在酸性介质中的性质及其与2Cr13不锈钢的电化学偶合行为．结果发现无论是在有氧还是除氧条件下,PANI膜与2Cr13不锈钢以面积比1：1偶合时,PANI均能使2Cr13不锈钢稳定钝化．根据电化学实验及光电子能潜（XPS）表征结果,提出了掺杂态PANI对2Cr13不锈钢的防腐蚀作用来自伽伐尼阳极保护作用,PANI膜在酸性溶液中通过交替电化学脱杂与掺杂为金属钝化提供了必须的阳极电流．     

BRST cohomology and highest weight vectors. I

We initiate a program to study certain recent problems in non-compact coset CFT by the BRST approach. We derive a reduction formula for the BRST cohomology by making use of a twisting by highest weight modules. As illustrations, we apply the formula to the bosonic string model and a rank one non-compact coset model [DPL]. Our formula provides a completely new approach to non-compact coset construction.Partially supported by NSF Grant DMS-8703581     

鉴别玉米杂交种纯度的近红外光谱分析技术研究

以不同产地和年份的农华101(NH101)玉米杂交种和母本种子为对象,研究了鉴别玉米杂交种子纯度的近红外光谱分析方法。 光谱采集时间跨度达10个月,运用傅里叶变换(FT)近红外光谱仪器,在不同季节用23天(分五个时间段)采集了这些样品共920条玉米单子粒近红外漫反射光谱。 全部原始光谱用移动窗口平均、 一阶差分导数和矢量归一化进行预处理,使用主成分分析(PCA)方法和线性判别分析(LDA)方法降维,采用仿生模式识别(BPR)方法建立模型。 通过对光谱预处理校正光谱失真,使样品光谱集在特征空间分布的范围收缩,相对距离增大了近70倍,实现了母本和杂交种子的鉴别。 通过代表性样品的选择,提高了模型对光谱采集时间、 地点、 环境等条件变动的应变能力,也提高了模型对样品种子制种时间与地点变动的应变能力,增强了模型的稳健性,使测试集玉米单子粒杂交种和母本种子的平均正确识别率达到95%以上,而平均正确拒识率也达到85%以上。     

基于简单MOPA结构实现3.08 kW全光纤窄线宽线偏振激光输出

基于简单的主振荡功率放大结构,演示了一种高功率窄线宽线性偏振全光纤激光器,其最大输出功率为3.08 kW,3 dB线宽为0.2 nm。在整个功率缩放过程中,偏振消光比约为94%,光束质量M ²约为1.4。这是国内外首次实现3 kW全保偏光纤激光输出,与基于相位调制的窄线宽激光器相比,该激光器可实现近似的线宽,同时具有受激布里渊散射阈值高、系统结构简单、成本低等特点。     

PbSe/TiO2同轴异质结纳米管的制备及光催化性能

通过溶液法合成了PbSe/TiO2复合纳米管,并对其进行了微观形貌、晶体结构等的表征。结果表明,制得的样品是由PbSe和TiO2两种材料构成的复合材料,致密、均匀的TiO2薄膜包覆在PbSe纳米管表面。以氙灯为模拟光源,通过对甲基橙的降解研究了PbSe/TiO2复合纳米管的光催化性能。结果显示,PbSe与TiO2之间形成的异质结使PbSe/TiO2复合纳米管具有较高的光催化性能,比纯PbSe纳米管的催化降解率提高了约4.5倍。另外,对PbSe/TiO2复合纳米管光催化稳定性也进行了研究。     

粉末晶体(ZrO2)x(Bi2O3)1-x(x=1.0, 0.97) 晶体结构分析

为了确定ZrO2和(ZrO2)0.97(Bi2O3)0.03的晶体结构和原子热振动各向同性温度因子B,对该粉末晶体进行X射线衍射实验,建立了晶体结构模型,进行晶体结构分析。首先,采用共沉淀法和高温固相烧结法制备了纳米氧化锆ZrO2和(ZrO2)0.97(Bi2O3)0.03粉末晶体,接着,使用X射线测试仪对两种样品进行了衍射实验（XRD）,利用Rietveld 精修方法的 RIETAN-2000程序对所得实验结果进行了晶体结构分析,获得了晶体结构参量和原子热振动各向同性温度因子B。通过Maximum Entropy Method（MEM）解析得到了粉末晶体(ZrO2)x(Bi2O3)1-x(x=1.0,0.97)的等高电子密度分布可视化图谱。结果表明,(ZrO2)0.97(Bi2O3)0.03的晶胞体积比ZrO2的晶胞体积大分别为140.6850 Å3和140.5637Å3;ZrO2晶体的原子热振动各向同性温度因子B(Zr)、BO(1)、BO(2)和 B（Bi）分别为0.690、0.269、 0.178 和 0 Å2,(ZrO2)0.97(Bi2O3)0.03晶体的分别为0.460 、0.583 、0.121 和0.581 Å2。 确定了(ZrO2)0.97(Bi2O3)0.03的晶体结构属于单斜晶系,实现了等高电子密度分布三维（3D）和二维（2D）的可视化,进一步确定了晶体结构和原子位置。     

HL-2A装置上边界间歇性事件与湍流粒子输运的统计学研究

通过对粒子概率分布函数的计算,发现在高等离子体密度下边界间歇性事件的爆发频率有所增加。通过条件平均的手段,正负间歇性事件得以区分,并发现了二者在空间上的不同特征。不同密度梯度下的湍流粒子输运计算表明,间歇性事件与湍流粒子输运之间存在密切联系,间歇性事件的存在能够大大增加湍流粒子输运的大小。在高等离子体密度时,间歇性事件的强度有所增加,而与之相应地,湍流粒子输运的大小也有所增强。     

Overview of finite elements simulation of temperature profile to estimate properties of materials 3D-printed by laser powder-bed fusion

Laser powder bed fusion(LPBF),like many other additive manufacturing techniques,offers flexibility in design expected to become a disruption to the manufacturing industry.The current cost of LPBF process does not favor a try-anderror way of research,which makes modelling and simulation a field of superior importance in that area of engineering.In this work,various methods used to overcome challenges in modeling at different levels of approximation of LPBF process are reviewed.Recent efforts made towards a reliable and computationally effective model to simulate LPBF process using finite element(FE)codes are presented.A combination of ray-tracing technique,the solution of the radiation transfer equation and absorption measurements has been used to establish an analytical equation,which gives a more accurate approximation of laser energy deposition in powder-substrate configuration.When this new analytical energy deposition model is used in in FE simulation,with other physics carefully set,it enables us to get reliable cooling curves and melt track morphology that agree well with experimental observations.The use of more computationally effective approximation,without explicit topological changes,allows to simulate wider geometries and longer scanning time leading to many applications in real engineering world.Different applications are herein presented including:prediction of printing quality through the simulated overlapping of consecutive melt tracks,simulation of LPBF of a mixture of materials and estimation of martensite inclusion in printed steel.