Adaptive nonparametric CUSUM scheme for detecting unknown shifts in location

In this paper, we provide a sequential rank-based adaptive nonparametric cumulative sum control chart for detecting a range of shifts in the location parameter. This chart is a self-starting scheme, and thus can be used to monitor processes at the start-up stages rather than having to wait for the accumulation of sufficiently large calibration samples. It does not require any prior knowledge of the underlying distribution. The choice of the chart parameters is studied and a simulation study demonstrates that the proposed control chart not only performs robustly for different distributions, but also efficiently detects various magnitudes of shifts. An illustrative example is also given to introduce the implementation of this proposed control chart.     

Individual-based multi-objective optimal structured treatment interruption for HIV infection

In this paper, based on the measurable quantities from an individual patient that has infection to human immunodeficiency virus (HIV) and his/her condition is near to acquired immune deficiency syndrome (AIDS), individual-based multi-objective optimal treatments have been proposed. Firstly, the most effective parameters of the patient in computing Long-term non-progressor (LTNP) equilibrium are derived using global sensitivity analysis (GSA). To accomplish GSA effectively, Latin hypercube sampling (LHS) and partial rank correlation coefficients (PRCC) are utilized to rank each of the parameters based on each state of the 5-dimensional model. Then, these results are used by Dempster–Shafer (D–S) evidence theory (DSET) to rank the most effective parameters comprehensively. Now, these effective identified parameters are estimated using extended Kalman filter (EKF), which its covariance matrices are optimized based on particle swarm optimization (PSO) algorithm. Thus, the proposed methodology gives a calibrated model corresponding to the individual patient. Based on this calibrated model, the LTNP equilibrium related to the individual patient is derived. Using the derived individual-based LTNP equilibrium optimal structured treatment interruption (STI) strategies are extracted by defining suitable multi-objective optimization problem and solving it through using non-dominated sorting genetic algorithm-II (NSGA-II). The results demonstrate that the proposed optimal treatments are able to effectively reach LTNP equilibrium with using the minimum and maximum drug usage of 3.6% and 35.1% of full drug usage treatment. Meanwhile, the different optimal treatments give the decision-makers enough flexibility to choose the suitable treatment based on existing facilities and necessities.     

The systems of primitive roots the degree and rank of prime numbers

Using the notions of the rank and the degree of a prime p≠2 relative to a residue class g(modp), where g is a positive integer with (g,p)= 1, we study the systems of primitive roots. This study leads to the understanding of the behavior of the discrete periodical signals whose values are the digits of the inverses of integers expressed in an arithmetic system with base g.     

一类环长至少为10的准循环LDPC码

为扩展性能优良、易于工程实现的LDPC码的构造方法,提出了一类环长至少为10的准循环低密度奇偶校验(quasi-cyclic low-density parity-check, QC-LDPC)码的构造方法。该方法首先基于基矩阵和 准则[11]构造出环长至少为10的校验矩阵;然后,利用掩蔽矩阵对得到的校验矩阵进行变换;最终,构造出满秩的准循环LDPC码。理论分析和仿真结果表明,该类QC-LDPC码字构造灵活,在AWGN信道下具有优异的性能。     

Safety risk assessment of Jiangshun Suspension Bridge in design stage

This paper presents a safety risk assessment approach with a case study, where a combined analytic hierarchy process (AHP)–fuzzy clustering–Delphi (AFD) method is used for the risk assessment of the Jiangshun Suspension Bridge. Based on the engineering background and experience of the experts, the risk factors are defined. The weights of risks are analysed by the AHP method. In order to ensure the accuracy of expert assessment, the fuzzy clustering method is used to analyse the results from the experts mentioned above. Then, combined with the results of the risk weight from AHP, the risk rank of risk factors, risk hierarchies and the whole bridge scheme are worked out. This study shows that the risk rank of the Jiangshun Suspension Bridge is II, which is medium risk, and can be accepted conditionally. The AFD combined method can be used to analyse the safety risk assessment of suspension bridges, as illustrated in this study.     

煤化学结构模型研究进展及应用

为了解煤结构与反应性之间的关系,论述了褐煤、次烟煤、烟煤、无烟煤的典型化学结构模型,分析了煤的化学结构模型在煤热解、煤气化、煤液化、煤自燃及煤的溶剂溶胀性中的应用。煤的化学结构模型有助于在分子水平上研究煤反应过程中的反应路径和反应机理。煤结构模拟的方法能够有效捕获煤热解过程中化学键的生成和断裂行为,解释煤气化反应机理,有效检测或捕获煤液化时生成的不稳定自由基,从微观方面分析影响煤自燃的因素,达到预防煤炭自燃的目的。     

芳香族溶剂对低阶煤轻度加氢改质的影响

为考察溶剂供氢性对加氢改质的影响,以四氢萘与甲基萘为溶剂,对低阶煤进行轻度加氢,考察不同反应条件对转化率、气产率、氢耗及产物分布的影响。结果表明,温度对转化率及气产率的影响显著,在360~430℃,随着温度升高,转化率及气产率增加显著;在氢压低于4 MPa时,脱氢反应体现较为显著,体系中有大量萘生成,压力对转化率及气产率的影响不明显,低压条件下,四氢萘供氢起主导作用;气相氢并不直接参与煤的反应,而是与溶剂发生加氢反应,进而由溶剂向煤供氢;低阶煤轻度加氢改质是一个快速反应的过程,反应时间不宜过长,30~60 min为宜;对改质后产物进行分析,黏结指数G75,灰分0.3%,硫含量0.3%。     

顺层岩质边坡变形破坏规律的分析

使用RFPA边坡版有限元分析程序分析含软弱结构面的顺层岩质边坡的变形破坏情况。结果表明，边坡的破坏主要是沿滑动面附近的软弱结构面萌生并扩展，含多组软弱结构面的顺层岩质边坡下沉曲线具有呈阶梯式变化的特征。这对在安全位置监测边坡位移变化从而了解整个边坡的变形破坏有积极意义。     

一类矩阵秩的恒等式

利用分块矩阵的初等变换,证明了李书超等于2004年提出的一类矩阵秩的猜想.并把此结论推广到了更一般情形.     

非径向对称随机向量的研究

本文利用过定点的Copula的最佳上、下界,构造了4个奇异Copula;证明了任意Copula与其生存Copula差的绝对值的上确界是三分之一;给出了度量随机变量非径向对称的方法;研究了最大非径向对称随机变量的性质及相关性度量的界。