Asymptotics for solutions of a defective renewal equation with applications

In this paper, we derive non-exponential asymptotic forms for solutions of defective renewal equations. These include as special cases asymptotics for compound geometric distribution and the convolution of a compound geometric distribution with a distribution function. As applications of these results, we study the Gerber-Shiu discounted penalty function in the classical risk model and the reliability of a two-unit cold standby system in reliability theory.      

Loss-based quality costs and inventory planning: General models and insights

In this paper, we examine a joint lot-sizing and process investment problem with random yield and backorders. We allow for inspection and develop stochastic models which provide the optimal inspection and lot-sizing policy as well as the optimal process investment for variance reduction. The process quality loss profile around the target is captured via a modification of the Reflected Normal loss function. We conduct numerical experiments assuming that the proportion of defectives follows a Uniform distribution while the process quality characteristic follows either a Normal or Uniform distribution. We also develop closed-form solutions that depend on at most the first two moments of any general probability distribution of defective units and which allow us to examine the nature of optimal policies. We demonstrate via numerical experiments the value of our integrated approach for jointly determining optimal inventory, inspection, and investment policies. Overall, our models and analyses provide some interesting insights into this reasonably complex inventory-quality problem and open up several avenues for future work in this area.     

偏最小二乘回归方法的局限性及改进算法

提出了偏最小二乘回归中的一类不适用情况,并从理论上分析,实例上验证,给出了针对这种情况的一种改进算法,从而拓宽了偏最小二乘回归的使用范围.     

GM(1,1)建模方法的改进及其应用

应用微分方程的两种数值解法估计GM(1,1)模型中的待辩参数a、u,并对模型的边界条件做了改进,建立了灰微分方程的时间响应表达式,讨论了由此建立的GM(1,1)模型的适用范围和预测精度.通过实例的分析计算,证明改进的模型具有良好的预测精度,满足工程实际需要,拓广了GM(1,1)模型的适用范围.     

Spectrum Slicing for Multiple Access Channels with Heterogeneous Services

Wireless mobile networks from the fifth generation (5G) and beyond serve as platforms for flexible support of heterogeneous traffic types with diverse performance requirements. In particular, the broadband services aim for the traditional rate optimization, while the time-sensitive services aim for the optimization of latency and reliability, and some novel metrics such as Age of Information (AoI). In such settings, the key question is the one of spectrum slicing: how these services share the same chunk of available spectrum while meeting the heterogeneous requirements. In this work we investigated the two canonical frameworks for spectrum sharing, Orthogonal Multiple Access (OMA) and Non-Orthogonal Multiple Access (NOMA), in a simple, but insightful setup with a single time-slotted shared frequency channel, involving one broadband user, aiming to maximize throughput and using packet-level coding to protect its transmissions from noise and interference, and several intermittent users, aiming to either to improve their latency-reliability performance or to minimize their AoI. We analytically assessed the performances of Time Division Multiple Access (TDMA) and ALOHA-based schemes in both OMA and NOMA frameworks by deriving their Pareto regions and the corresponding optimal values of their parameters. Our results show that NOMA can outperform traditional OMA in latency-reliability oriented systems in most conditions, but OMA performs slightly better in age-oriented systems.     

抗磨可靠性寿命的加速试验与预测

在工程实际中，对新机器零件的抗磨可靠性寿命进行评估或预测非常重要，但是，由于磨损是一种受多因素制约的随机过程，目前在实验室广泛采用的模拟磨损试验，不仅周期较长，而且预测误差也比较大。因此，提出了一种在保持磨损机相似的前提下合理选用高ＰＶ值的抗磨可靠性寿命加速试验的新方法。     

极值型风荷载作用下大型结构可靠性分析

研究了在极值型风荷载作用下大型结构的可靠性。结构的破坏以结构刚度矩阵奇异为依据，首先列举结构的主要破坏模式，其次利用增量载荷法求出的结构的安全余量方程，然后将极值型风荷载正态化，计算出各主要破坏模式的破坏概率，并用二阶窄界限理论计算大型结构的可靠性。最后以一大型输电塔为例进行了可靠性计算     

对称四甲基取代六元瓜环对醋酸地塞米松的增溶作用

利用微孔滤膜分离方法研究了对称四甲基取代六元瓜环(TMeQ[6])对醋酸地塞米松的增溶作用,并利用差热分析法(DTA)分析TMeQ[6]和醋酸地塞米松的包结物。结果表明,TMeQ[6]对醋酸地塞米松有一定的增溶作用,随TMeQ[6]浓度增大,醋酸地塞米松的溶解度呈增大趋势,当TMeQ[6]浓度从0.04mmol/L提高至0.28mmol/L增溶倍数可达4～17倍;当温度从10℃升至70℃,增溶倍数先下降然后趋于稳定。同时,还利用共溶剂法制备了TMeQ[6]与醋酸地塞米松的固体包结物,并对其主客体作用进行了DTA研究。     

Evaluation of thermal resistance constitution for packaged A1GaN/GaN high electron mobility transistors by structure function method＊

The evaluation of thermal resistance constitution for packaged A1GaN/GaN high electron mobility transistor （HEMT） by structure function method is proposed in this paper. The evaluation is based on the transient heating measurement of the A1GaN/GaN HEMT by pulsed electrical temperature sensitive parameter method. The extracted chip-level and package-level thermal resistances of the packaged multi-finger A1GaN/GaN HEMT with 400μm SiC substrate are 22.5 K/W and 7.2 K/W respectively, which provides a non-invasive method to evaluate the chip-level thermal resistance of packaged A1GaN/GaN HEMTs. It is also experimentally proved that the extraction of the chip- level thermal resistance by this proposed method is not influenced by package form of the tested device and temperature boundary condition of measurement stage.     

液体表面张力系数实验装置的改进

对现有吊环法液体表面张力系数测量仪的水平调节装置、吊环升降装置存在的不足进行了改进,在原有仪器上增加了液体加热装置,以便对不同温度下的液体表面张力系数进行测量,实验说明新的实验装置更加科学合理.通过实验对比得出:新的实验装置操作方便、实验误差小、重复性好,有推广价值.