一类改进的HIV病理模型的全局稳定性

将治愈率引入经典的HIV病理模型,构建一个改进的HIV病理模型.证明了改进模型中无病平衡点的全局稳定性,给出染病平衡点全局稳定性的参数域,并进行了相关的数值模拟,进而发现当染病平衡点不稳定时模型存在周期解.研究结果表明:提高治愈率是有效控制HIV感染的重要途径.     

基于方位FNCS的斜视TOPS SAR成像方法

针对斜视循序扫描地形观测（terrain observation by progressive scans, TOPS）合成孔径雷达（synthetic aperture radar, SAR）模式,提出了一种新的全孔径成像处理方法。首先对距离走动校正后的数据进行方位预处理得到无模糊的二维频谱,在此基础上采用修正的线频调变标算法完成距离脉压及距离徙动校正;然后在距离多普勒域进行频域非线性变标（frequency nonlinear chirp scaling, FNCS）以校正调频率的空变性,并结合谱分析（spectral analysis, SPECAN）技术将信号聚焦在方位频率域,最后校正几何形变。仿真和实测数据处理结果验证了算法的有效性。     

求解卫星地面站调度问题的演化学习型蚁群算法

随着观测需求的日益增加,越来越多的卫星和地面站加入到对地观测系统中,迫切需要采用科学手段对卫星地面站资源进行合理分配。针对卫星地面站调度问题,构建了一种演化学习型蚁群算法。实验结果表明,该算法能有效求解卫星地面站调度问题。将蚁群优化模型和知识模型进行优势互补,可极大提高演化学习型蚁群算法的效率,为现有优化方法的改进提供了一种有益借鉴。     

点与线的复制：基于网络思维的系统观

＂复制＂是一种普遍存在的现象,其表现为重复、拷贝或再造某种事物、结构或关系。这种现象在生命系统中尤为明显。通过把系统表征为由点（属性）和线（关系）所组成的网络,网络思维可以作为考察各种系统的认知工具。这种思维除了可以进行诸如还原、切出、背景化和层级化等多种表层操作以外,还具有更深层的点和线的复制。以对部分与整体、系统和环境的辨析为引导,本文首先简要回顾了鲁曼系统理论中的系统观发展史,然后以现有系统观的生命系统模式作为框架,提出把复制性作为网络思维的图式（基于点线符号的网络）及其考察的对象（系统）的基本特性,从而为利用网络思维考察各种系统提供新的理论依据和分析视角。     

求解双层CARP优化问题的演化学习型遗传算法

双层有能力约束的弧路径优化问题(capacitated arc routing problem, CARP)的研究对象通常是某个城市或地区,首先聚焦于该地物流系统的宏观配置,然后考虑相关服务的完成问题。针对双层CARP优化问题,提出了一种演化学习型遗传算法(learnable genetic algorithm, LGA)。建立了LGA的基本框架,设计了构件知识和算子知识等知识形式。在LGA中,采用扩展启发式方法辅助生成初始种群,使用算子知识为选择、交叉和变异选择操作算子,应用构件知识为交叉和变异操作选择断点位置,同时借助局部替换程序不断地向当前种群中注入新个体。LGA的框架为现有优化方法改进提供了一种有益借鉴。     

Novel reference range selection method in InlSAR imaging

Aiming at the reference range selection for different antennas in interferometric inverse synthetic aperture radar (InISAR) systems, this paper proposes a respective focusing (RF) method. The reference ranges for echoes of different antennas are selected respectively for RF, which is different from the traditional uniform focusing (UF) with the same reference range applied to all the antennas. First, a comparison between UF and RF for InISAR signal model considering the ranging error is given. Compared with RF, UF has an advantage in overcoming the ranging error differences between different antennas. Then the influence of ranging error upon the interferometric imaging with RF is investigated particularly, and it is found that the ranging error differences between different antennas are far smaller than the wavelength, which is advantageous to imaging. By comparing the capabilities of interferometric imaging between RF and UF, it is concluded that RF is a better choice in conquering problems such as image mismatching and phase ambiguity even with ranging errors. Simulations demonstrate the validity of the proposed method.     

SER analysis and power allocation for hybrid cooperative transmission system

The symbol-error-rate(SER) and power allocation for hybrid cooperative(HC) transmission system are investigated.Closed-form SER expression is derived by using the moment generating function(MGF)-based approach.However,the resultant SER contains an MGF of the harmonic mean of two independent random variables(RVs),which is not tractable in SER analysis.We present a simple MGF expression of the harmonic mean of two independent RVs which avoids the hypergeometric functions used commonly in previous studies.Using the simple MGF,closed-form SER for HC system with M-ary phase shift keying(M-PSK) signals is provided.Further,an approximation as well as an upper bound of the SER is presented.It is shown that the SER approximation is asymptotically tight.Based on the tight SER approximation,the power allocation of the HC system is investigated.It is shown that the optimal power allocation does not depend on the fading parameters of the source-destination(SD) channel and it only depends on the source-relay(SR) and relay-destination(RD) channels.Moreover,the performance gain of the power allocation depends on the ratio of the channel quality between RD and SR.With the increase of this ratio,more performance gain can be acquired.     

短生命周期产品运营的系统动力学仿真优化

应用系统动力学对短生命周期产品的生产运作进行建模与仿真,并在此基础上实现优化。此类问题分析的复杂性源于系统各要素之间存在复杂的相互作用,并在较短的产品生命周期内作用更加明显。而传统的数学建模方法因难以清晰、简洁地描述出这些非线性关系而不能被应用于此类问题的研究。因此,建立了短生命周期产品生产运作的系统动力学模型,通过仿真来实现系统运行绩效的优化。模型中不仅模拟了产品有限生命周期内的需求变化,还考虑了劳动力资源对产品生产、顾客满意度对产品需求的影响等诸多现实问题。最后,通过对一个具有代表性的短生命周期产品的运作仿真,演示了在仿真数据的分析基础上对系统参数实现了优化。     

Inference on coefficient function for varying-coefficient partially linear model

One important model in handling the multivariate data is the varying-coemcient partially linear regression model.In this paper,the generalized likelihood ratio test is developed to test whether its coefficient functions are varying or not.It is showed that the normalized proposed test follows asymptoticallyχ~2-distribution and the Wilks phenomenon under the null hypothesis,and its asymptotic power achieves the optimal rate of the convergence for the nonparametric hypotheses testing.Some simulation studies illustrate that the test works well.     

On functional decomposition of multivariate polynomials with differentiation and homogenization

This paper gives a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which were proposed by Ye,Dai,and Lam(1999) and were developed by Faugere,Perret(2006,2008,2009).The authors show that a degree proper functional decomposition for a set of randomly decomposable quartic homogenous polynomials can be computed using the algorithm with high probability.This solves a conjecture proposed by Ye,Dai,and Lam(1999).The authors also propose a conjecture which asserts that the decomposition for a set of polynomials can be computed from that of its homogenization and show that the conjecture is valid with high probability for quartic polynomials.Finally,the authors prove that the right decomposition factors for a set of polynomials can be computed from its right decomposition factor space.