Dynamic pricing for perishable items with costly price adjustments

Dynamic pricing is widely adopted in inventory management for perishable items, and the corresponding price adjustment cost should be taken into account. This work assumes that the price adjustment cost comprises of a fixed component and a variable one, and attempts to search for the optimal dynamic pricing strategy to maximize the firm’s profit. However, considering the fixed price adjustment cost turns this dynamic pricing problem to a non-smooth optimal control problem which cannot be solved directly by Pontryagin’s maximum principle. Hence, we first degenerate the original problem into a standard optimal control problem and calculate the corresponding solution. On the basis of this solution, we further propose a suboptimal pricing strategy which simultaneously combines static pricing and dynamic pricing strategies. The upper bound of profit gap between the suboptimal solution and the optimal one is obtained. Numerical simulation indicates that the suboptimal pricing strategy enjoys an efficient performance.     

一般阻尼随机微分方程的拟局部振荡算法

提出了一种模拟随机微分方程的拟局部振荡算法,即利用算符劈裂方法和势函数的泰勒展开,对噪声作用下耗散粒子的时间演化算符进行分解,得到了对应涨落行为的扩散算符和对应确定轨迹的漂移算符.其中局部简谐势场的涨落过程可获得解析解,而剩余的确定项则利用简单的Euler算法积分.应用到几个算例并与常用的两种算法相比较,结果表明:本算法随时间步长最稳定,可使用较大的时间步长.     

掺铁铌酸锂晶体中光致散射的锂组分和温度依赖关系研究

研究了单掺铁铌酸锂晶体的光致散射行为随锂组分以及温度的变化关系.实验表明,随晶体组分的升高,光致散射得到了大幅抑制;不同组分晶体光致散射被完全抑制的温度不同.由此提出掺铁铌酸锂晶体在48.9 mol%-49.3 mol%范围内可能存在一临界锂组分,当晶体组分超过这一临界组分时,晶体光致散射被大幅抑制,而光致散射行为的温度依赖关系明显改变.     

基于高光谱分析的玉米叶片氮含量分层诊断研究

为了明确不同生育时期进行玉米氮素营养诊断的叶片层位,建立准确稳健的玉米氮素营养诊断模型,以达到合理追施氮肥,提高氮肥利用率的目的。试验采用单因素盆栽试验设计,以玉米（郑单958）为研究对象,应用高光谱技术,分析了不同氮营养水平下不同生育时期不同层位玉米叶片的氮含量分布和变化规律及光谱响应特征;并依据叶片氮含量与光谱反射率的相关关系,叶片氮含量与全波段(400～2 000 nm)任意两两波段组合构建的比值光谱指数(RSI)的回归关系,初步确定了不同生育时期进行氮素营养高光谱诊断的目标叶片,筛选出最优的比值光谱指数,建立了叶片氮素含量估算模型。结果表明：玉米叶片氮含量：上层>中层>下层;随着玉米的生长,在低氮条件下上层叶片氮含量呈先减少后增加（追肥）再减少趋势,在高氮条件下呈减少趋势,中下层叶片氮含量呈递减趋势。六叶期下层玉米叶片光谱反射率敏感范围较大,相关性较强;九叶期和灌浆期上层玉米叶片的光谱反射率敏感范围较广,相关性较强;开花吐丝期中层叶片的光谱反射率敏感范围较大,相关性较强。六叶期选取下层叶作为诊断目标叶,选取最佳比值光谱指数RSI(1 811, 1 842)建立线性估算模型,九叶期和灌浆期选取上层叶片作为诊断目标叶,选取的最佳比值光谱指数分别为RSI(720, 557),RSI(600, 511)建立线性估算模型,开花吐丝期选取中层叶片作为诊断目标叶,选取比值光谱指数RSI(688, 644)建立线性估算模型。研究结果可为快速准确地利用光谱技术进行玉米叶片氮素营养诊断提供理论依据。     

高光谱成像的土壤剖面水分含量反演及制图

传统土壤水分的获取方法仅可获得离散的土壤水分点位数据,难以获得剖面上精细且连续的水分含量分布图。研究了野外条件下利用近红外高光谱（882～1 709 nm）成像反演剖面土壤水分含量（SMC）,并实现精细制图的可行性。研究剖面位于江苏省东台市,我们利用近红外高光谱成像仪对剖面进行了5天原位连续观测,共采集了280个土样用于烘干法测定SMC。原始高光谱图像经数字量化值（DN）校正、黑白校正、拼接、几何校正、剪切和掩膜等一系列预处理后,提取各采样点的平均光谱反射率。提取光谱（Raw）经吸光度[LOG₁₀(1/R)],Savitzky-Golay平滑（SG）、一阶微分（FD）、二阶微分（SD）、多元散射校正（MSC）和标准正态变量（SNV）转换后,采用偏最小二乘回归（PLSR）和最小二乘支持向量机（LS-SVM）方法建立SMC预测模型,并对比分析不同光谱预处理方法与建模方法组合条件下SMC的预测精度。结果表明,光谱反射率随SMC增加逐渐降低,不同光谱预处理方法的预测精度有所差异,除MSC方法外,同一光谱预处理方法的LS-SVM模型预测精度均高于PLSR模型,并且基于LOG₁₀(1/R)光谱的LS-SVM模型对SMC预测精度最高,其建模集的决定系数（R2_c）和均方根误差（RMSE_c）分别为0.96和0.65%,预测集的决定系数（R2_p）、均方根误差（RMSE_p）和相对分析误差（RPD_p）分别为0.88,1.05%和2.88。利用最优模型进行剖面SMC的高空间分辨率精细制图,通过比较SMC反演图中提取的预测值与实测值关系发现预测精度较高（R2: 0.85～0.95, RMSE: 0.94%～1.02%）,且两者在剖面中的变化趋势基本一致,说明SMC反演图不仅能很好地反映出土壤水分在整个剖面中毫米级的含量分布信息,也可反映出同一位置处不同天数间的含量差异。因此,利用近红外高光谱成像结合优化的预测模型,能够实现土壤剖面SMC的定量预测及精细制图,有助于快速、有效监测田间剖面土壤水分状况。     

A new model for the analysis of reinforced concrete members with a coupled HdBNM/FEM

As a truly boundary-type meshless method, the hybrid boundary node method (HdBNM) does not require ‘boundary element mesh’, either for the purpose of interpolation of the solution variables or for the integration of ‘energy’. In this paper, the HdBNM is coupled with the finite element method (FEM) for predicting the mechanical behaviors of reinforced concrete. The steel bars are considered as body forces in the concrete. A bond model is presented to simulate the bond-slip between the concrete and steels using fictitious spring elements. The computational scale and cost for meshing can be further reduced. Numerical examples, in 2D and 3D cases, demonstrate the efficiency of the proposed approach.     

Impact of post-injection strategy on the physicochemical properties and reactivity of diesel in-cylinder soot

Post injection has significant benefit in the reduction of diesel soot emissions. Therefore, there is a need to understand the effect of post-injection strategy on soot physicochemical properties and reactivity because they play an important role in soot oxidation process that governs the final soot emissions. This work focuses on the impact of post injection on the physicochemical properties and reactivity of diesel in-cylinder soot using a main plus post injection (M*P) and a single injection (M) strategy. The soot was sampled by a developed total cylinder sampling system, and the dividing points of soot formation-dominant and oxidation-dominant phases were used for studying the impacts of post injection on the characteristics of in-cylinder soot. The physicochemical properties of the soot samples, including primary particle size, nanostructure, carbon chemical state and surface functional groups, were characterized. The soot reactivity was evaluated in terms of peak temperature, burnout temperature and apparent activation energy. In the oxidation-dominant phase, the M*P soot initially possesses smaller primary particle size, shorter fringe length, larger tortuosity, lower sp²/sp³ hybridization ratio of carbon atoms and higher content of aliphatic CH groups than the M soot. The beneficial influence of physicochemical properties on soot reactivity when using post injection is validated by the thermogravimetric data, which shows that the M*P soot is more reactive than the M soot at the onset of the oxidation-dominant phase. In the M*P case, the soot generated from the main-injection combustion has lower reactivity than the soot from the post-injection combustion after they experience the soot formation-dominant phase. The results indicate that the use of post injection leads to in-cylinder soot with physicochemical properties that favor reactivity. The enhancement of reactivity means that the soot will be more readily oxidized in the subsequent combustion process, and consequently contributes to a reduction in final soot emissions.     

YAGG∶Tb纳米荧光粉的制备和分析

YAGG∶Tb微米荧光粉具有良好的发光特性,在投影电视中具有广泛的应用,在FED等新型平板显示中也有良好的应用前景。与图像清晰度有密切关系的是荧光粉的粒径大小,粒径越小分辨率越高,纳米荧光粉可提高图像的分辨率,使图像更清晰。但目前还未见有关YAGG∶Tb纳米荧光粉的报道,把这种荧光粉纳米化具有重要的实际意义。概述了用尿素溶胶法制备YAGG∶Tb纳米荧光粉,这一方法与其他的合成方法相比具有很多的优点,是一种无机合成的方法,能够得到纳米级的超细荧光粉。最后通过X射线对其进行了晶体分析,用扫描电镜进行了形貌分析,测量了在电子束激发下的发射光谱,并对实验结果进行了讨论。     

非线性光子晶体中原子辐射光场的非经典性质

讨论了非线性光子晶体微腔中二能级原子在相干场驱动下腔场的频谱特性及光子的统计性质.研究结果表明,当光子晶体的态密度很大时,如果腔场模与原子共振荧光Mollow峰的中心峰共振,则腔场的涨落压缩到量子散弹噪声之下,且与线性光子晶体微腔的情况相比其谱线峰值变大.当驱动场频率较大时光子服从亚Poisson分布,且非常接近Poisson分布.     

基于ARM技术的嵌入式OCT成像系统研究

分析了光谱光学相干层成像的基本原理,并基于ARM9内核的嵌入式微处理器S3C2443和当前主流嵌入式的WINCE实时多任务操作系统,提出了一套用于检测人体胃肠道病变的光谱光学相干层内窥成像系统的研制方案。从硬件和软件两个方面,详细介绍了系统的搭建过程,给出了整个系统框架图和软件运行流程图,并通过旋转扫描实验获得三层盖玻片的实物图,实验结果表明该嵌入式光学相干层成像系统是可行的。