Asymptotic analysis for multi-objective sequential stochastic assignment problems

ABSTRACT

We provide an asymptotic analysis of multi-objective sequential stochastic assignment problems (MOSSAP). In MOSSAP, a fixed number of tasks arrive sequentially, with an n-dimensional value vector revealed upon arrival. Each task is assigned to one of a group of known workers immediately upon arrival, with the reward given by an n-dimensional product-form vector. The objective is to maximize each component of the expected reward vector. We provide expressions for the asymptotic expected reward per task for each component of the reward vector and compare the convergence rates for three classes of Pareto optimal policies.     

分光计调整方法的改进及白光色散研究

普通物理实验中使用分光计观察白光散射,测量三棱镜顶角,最小偏向角等。但在测量前需借助三棱镜调整分光计,有人通过理论分析发现传统的调节方法存在误调和误差,并提出了改进的实验调整方法。本文我们通过实验来验证该方法是否可行,并在实验中发现了其它的问题。     

一种宽能谱多球中子谱仪能量响应的MC模拟

利用蒙特卡罗程序FLUKA模拟计算了聚乙烯慢化球和辅助材料慢化球对低能中子到高能中子的响应函数曲线。结果表明,对纯聚乙烯球来说,随着聚乙烯层厚度的增加,响应曲线峰逐步右移,峰值在高能区有所下降,对20 Me V以上的中子,无论纯聚乙烯球的尺寸有多大,其响应均下降到很低的程度;对辅助材料慢化球来说,中子能量小于1 Me V时,辅助材料慢化球与聚乙烯慢化球的响应曲线相似,但当中子能量大于20 Me V时,中子与辅助材料层发生(n,xn)反应,慢化球的响应呈显著上升趋势。分析计算结果,最终能够确定宽能谱多球中子谱仪的尺寸组合。     

Measurements of the spatially resolved electron temperature and plasma potential in ferrite-core side type Ar/He inductively-coupled plasmas

Spatial distributions of the effective electron temperature (T_eff) and plasma potential were studied from the measurement of an electron energy probability function in a side type ferrite-core inductively coupled plasma with an argon–helium mixture. As the helium gas was diluted at the fixed total gas pressure of 5 mTorr in an argon discharge, the distribution of the plasma density and plasma potential changed from a concave to a flat profile, and finally became a convex profile, while all spatial profiles of T_eff were hollow shapes with helium dilution in the argon discharge. This evolution of the plasma potential with helium gas could be explained by the increased energy relaxation length (λ_ε), indicating the transition of electron kinetics from local to non-local kinetics.     

新型显微成像光谱仪系统中线阵针孔离焦研究

显微成像光谱仪技术是最近新兴的一种生物组织检测方法,它可以广泛应用在生物医学检测,疑难病症分析、预防、诊断中,已经成为当今生物组织检测领域研究的热点。提出了一种新型的基于线阵针孔阵列的激光扫描共焦显微成像光谱仪系统LP-LSCMIS方案,介绍了其工作原理及优点,讨论了该装置中线阵针孔阵列离焦对系统性能的影响,分析了离焦对生物组织荧光图像的光谱分辨和自体荧光光谱的调制深度的影响。推导出了光谱分辨和调制深度与离焦量的关系式。结果表明,离焦对仪器的性能有较大的影响,因此在装置装调时要求有更高精度的调整机构。     

Sagnac棱镜角公差与干涉光谱仪光谱分辨率的关系分析

根据干涉成像光谱仪光谱分辨率对角向差的要求,通过对实体Sagnac干涉仪结构和光路进行分析,从三个相互垂直的方向出发,研究了光谱分辨率和棱镜角公差之间存在的关系;并推导了满足光谱仪光谱分辨率要求的实体Sagnac干涉棱镜的角公差公式;用实例说明了关系式的应用方法,如果不考虑棱镜变形引起的色散及棱镜的面型误差和付氏镜的残余像差的影响,而只考虑棱镜的角误差对光谱分辨率的影响,则通常情况下干涉棱镜的角公差要求较严,约20″以内.     

The electron microanalyzer (EPMA): a powerful device for the microanalysis of filled polymeric materials

The electron probe microanalyzer is a device often used in the field of geology or in the glass and steel industries. However, it is barely known or used in the polymer field. Thus, in this paper, we investigate the use of electron probe microanalyzer for polymer microanalyses and compared it with a scanning electron microscope equipped with an energy dispersive spectrometer. To show the unique potential of this technique only develop in our lab for polymer application, three different samples were studied: (i) a fire protective epoxy‐based coating submitted to aging in salt water, (ii) the distribution of organometallic catalysts into a thermal isolative silicone polymer, and (iii) the fouling growth of milk protein (biopolymer) on a stainless steel surface. Compared to an energy dispersive spectrometer, with an electron probe microanalyzer it is possible to quickly create X‐ray mappings of low concentration elements at a good resolution, as well as allowing the interpretation of the mechanism of action for the three samples which was impossible using only an energy dispersive spectrometer because of its too low detection resolution. Copyright © 2015 John Wiley & Sons, Ltd.     

序列式MESO紧空间的闭Lindelof逆象

证明了正则空间中闭Lindelof映射逆保持序列式meso紧性,从而改进了Mancuso V J关于正则空间中完备映射逆保持meso紧性这一结果;进一步我们指出定理条件中原象空间的正则性不可被省略而象空间的正则性可以用原象空间的正规性来替代.     

Birefringence dispersion in a quartz crystal retrieved from a channeled spectrum resolved by a fiber-optic spectrometer

We present a simple method for measuring the wavelength dependence of both the phase and group birefringences in a quartz crystal of known thickness. The method utilizes interference of polarized waves resolved by a fiber-optic spectrometer as a channeled spectrum (spectral fringes). The fringe order versus the precise position of the interference maximum in the spectrum is fitted to the approximate function, from which the phase birefringence as a function of wavelength is retrieved. We also determine the group birefringence dispersion. The functions measured in a range from 500 to 900 nm are compared with those resulting from the available dispersion relation, and very good agreement is confirmed.     

傅里叶光谱仪高精度光谱定标研究

为了提高傅里叶光谱仪光谱定标精度,减小光谱定标误差,基于风云四号大气垂直探测仪实验室气体池光谱定标数据,进行傅里叶光谱仪高精度光谱定标算法研究。首先,分析了傅里叶光谱仪的分光原理,并在对参考激光波数漂移、光线离轴、以及有限视场引起光谱波数偏移的原理进行分析后,得出傅里叶光谱仪光谱定标公式及定标参数的计算方法;接着分析了快速傅里叶变换(FFT)的栅栏效应和干涉图截断产生的sinc函数造成的光谱定标误差较大的原因;然后通过对比几种不同的光谱细化方法,选择高效的快速Chirp Z-transform(CZT)进行光谱细化,解决FFT光谱分辨率较低导致光谱误差较大的问题;通过对气体池参考气体在HITRAN数据库中的理论谱线,用Gaussian线型展宽并卷积sinc函数处理后作为光谱定标参考谱线的方式,减小由sinc函数引起的谱线间串扰造成的光谱定标误差,从而提高光谱定标精度。最后,使用实验测得的数据对该光谱定标算法进行验证,对比使用CZT细化光谱前后定标误差,和参考谱线处理前后的定标误差,证明该算法可以有效提高光谱定标精度,最高可将光谱定标误差减小10倍以上。