Astronomical function and date of the Taosi observatory

The Taosi site in Xiangfen County, Shanxi Province, may be the capital of the King Yao. Archeologists recently discovered a large semi-circular stamped-earth platform, II FJT1, which has a clear and definite pounded-earth central core together with a curved wall perforated by twelve gaps. The platform is said to be an ancient observatory used to determine the seasons by watching the sunrise. Each feature of II FJT1 was precisely measured and the data are reproduced in this paper. An astronomical analysis of slots E2 and E12 was carried out using the azimuths of the slots’ centerlines and the vertical angle of the mountain ridge opposite, above which the sun rises. The results show that at present the sun is close to the two slots but does not exactly enter them at summer and winter solstice sunrise. Using 14C analysis archeologists dated the site to about 2100 BC. Because of the secular change in the obliquity of the ecliptic, at that date on the summer solstice the half-risen sun would have appeared inside slot E12 just to the right of the centerline, and on the winter solstice the sun would have been exactly on the centerline of slot E2. This result provides compelling proof that II FJT1 is an ancient observatory.     

Mean value analysis for polling systems

The present paper deals with the problem of calculating mean delays in polling systems with either exhaustive or gated service. We develop a mean value analysis (MVA) to compute these delay figures. The merits of MVA are in its intrinsic simplicity and its intuitively appealing derivation. As a consequence, MVA may be applied, both in an exact and approximate manner, to a large variety of models.     

Sojourn time analysis for a cyclic-service tandem queueing model with general decrementing service

A sojourn time analysis is provided for a cyclic-service tandem queue with general decrementing service which operates as follows: starting once a service of queue 1 in the first stage, a single server continues serving messages in queue 1 until either queue 1 becomes empty, or the number of messages decreases to k less than that found upon the server's last arrival at queue 1, whichever occurs first, where 1 ≤ k ≤ ∞. After service completion in queue 1, the server switches over to queue 2 in the second stage and serves all messages in queue 2 until it becomes empty. It is assumed that an arrival stream is Poissonian, message service times at each stage are generally distributed and switch-over times are zero. This paper analyzes joint queue-length distributions and message sojourn time distributions.     

The shuttle dispatch problem with compound Poisson arrivals: Controls at two terminals

We consider the control of an infinite capacity shuttle which transports passengers between two terminals. The passengers arrive at each terminal according to a compound Poisson process and the travel time from one terminal to the other is a random variable following an arbitrary distribution. The following control limit policy is considered: dispatch the shuttle at terminali, at the instant that the total number of passengers waiting at terminali reaches or exceeds a predetermined control limitm _i . The objective of this paper is to obtain the mean waiting time of an arbitrary passenger at each terminal for given control valuesm ₁ andm ₂. We also discuss a search procedure to obtain the optimal control values which minimize the total expected cost per unit time under a linear cost structure.     

Markovian queues with Poisson control

We investigate Markovian queues that are examined by a controller at random times determined by a Poisson process. Upon examination, the controller sets the service speed to be equal to the minimum of the current number of customers in the queue and a certain maximum service speed; this service speed prevails until the next examination time. We study the resulting two-dimensional Markov process of queue length and server speed, in particular two regimes with time scale separation, specifically for infinitely frequent and infinitely long examination times. In the intermediate regime the analysis proves to be extremely challenging. To gain further insight into the model dynamics we then analyse two variants of the model in which the controller is just an observer and does not change the speed of the server.     

基于概率密度演化方法的随机结构可靠度分析

随机结构反应的概率密度演化方法能够给出随机荷载作用下随机结构反应的概率密度函数。在此基础上，根据给定的正常使用位移限值要求，直接进行积分给出了随机结构的正常使用可靠度及其失效概率。在实例分析中，与一类情况下的精确解答及基于反应正态分布假定的二阶矩方法分析结果进行了比较。研究表明：基于密度演化方法的随机结构可靠度分析具有很高的精度，而二阶矩方法的可靠度分析结果则往往具有一定的偏差，在失效概率较低时可能给出虚假的失效概率。     

耐磨环氧胶粘涂层冲蚀磨损特性的研究

本文对气固冲蚀和浆体冲蚀条件下耐磨环氧胶粘涂层的磨损特性进行了研究。结果表明,这种涂层的冲蚀磨损是由粘结剂的磨损和抗磨填料的磨损所组成;填料粒度和磨料粒度都对涂层的气固冲蚀磨损有影响,但在给定的试验条件下,填料粒度对涂层的浆体冲蚀磨损影响甚微。文章指出,耐磨环氧胶粘涂层在气固冲蚀和浆体冲蚀下的磨损机理相似,但磨损规律却有所不同;耐磨环氧胶粘涂层尤其适用于浆体冲蚀的场合,可以明显地提高机械过流部件的使用寿命。     

Forensic examination of ink by high-performance thin layer chromatography--the United States Secret Service Digital Ink Library

Forensic examinations of ink have been performed since the beginning of the 20th century. Since the 1960s, the International Ink Library, maintained by the United States Secret Service, has supported those analyses. Until 2009, the search and identification of inks were essentially performed manually. This paper describes the results of a project designed to improve ink samples' analytical and search processes. The project focused on the development of improved standardization procedures to ensure the best possible reproducibility between analyses run on different HPTLC plates. The successful implementation of this new calibration method enabled the development of mathematical algorithms and of a software package to complement the existing ink library.     

服役环境下腐蚀坑等效为表面裂纹的有效性分析

对取自退役飞机机翼蒙皮的光滑试件进行了等幅疲劳试验,通过疲劳断口分析得到了服役环境下飞机主体材料LY12CZ 铝合金蚀坑的拓扑特征.基于飞机结构的实际腐蚀尺寸,将蚀坑的宽度和深度作为等效裂纹的长轴和短轴,并应用 Stress Check 软件对蚀坑等效为裂纹的可行性进行了有限元分析.结果表明:实际蚀坑与等效裂纹对结构应力分布的影响十分相似;应力强度因子在蚀坑等效前后数值大小和变化趋势不大.在分析蚀坑对典型试件疲劳寿命影响时将蚀坑等效成半椭圆形裂纹,选取 Walker 公式作为扩展速率模型,并与试验值进行了对比.结果表明:预测值与试验值比较吻合,最大误差为9.23%,满足工程需求.     

供应和需求不确定条件下物流服务供应链能力协调研究

为解决物流能力供应和需求不确定环境下,物流服务集成商和供应商能力采购和投资的协调问题,建立了Stackelberg主从博弈下物流服务集成商和供应商的决策模型,提出了基于收益共享的能力采购费用补偿协调机制,给出了实现供应链协同以及帕雷托改进的合约参数设计和取值区间.数值分析进一步验证了该协调机制的有效性,以及供应和需求波动对决策双方行为的影响.研究结果表明,物流服务集成商通过调节合约参数取值能有效协调供应和需求随机环境下物流服务供应链的采购和投资风险.