The building evacuation problem with shared information

In this article, the Building Evacuation Problem with Shared Information (BEPSI) is formulated as a mixed integer linear program, where the objective is to determine the set of routes along which to send evacuees (supply) from multiple locations throughout a building (sources) to the exits (sinks) such that the total time until all evacuees reach the exits is minimized. The formulation explicitly incorporates the constraints of shared information in providing online instructions to evacuees, ensuring that evacuees departing from an intermediate or source location at a mutual point in time receive common instructions. Arc travel time and capacity, as well as supply at the nodes, are permitted to vary with time and capacity is assumed to be recaptured over time. The BEPSI is shown to be NP‐hard. An exact technique based on Benders decomposition is proposed for its solution. Computational results from numerical experiments on a real‐world network representing a four‐story building are given. Results of experiments employing Benders cuts generated in solving a given problem instance as initial cuts in addressing an updated problem instance are also provided. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

刚性夹杂双周期分布的反平面问题

在遵循复合材料中各夹杂相互影响的条件下,构造呈双周期分布且相互影响的椭圆形刚性夹杂模型的复应力函数,采用复变函数的依次保角映射方法,达到满足各个夹杂的边界条件,利用围线积分将求解方程组化为线性代数方程组,推导出了椭圆形刚性夹杂呈双周期分布的界面应力解析表达式,并讨论了夹杂间距对界面应力最大值（应力集中系数）的影响规律,描绘出了曲线。     

COSMIC掩星电子密度廓线的质量检核

利用COSMIC掩星任务自2010年至2014年的电离层电子密度廓线,使用只考虑廓线自身特性的4种参数进行质量检核,并对廓线质量的时空分布进行分析。发现在廓线质量的空间分布上,廓线不合格率在高纬地区最高,其次是低纬地区,在中纬地区最低,这可能与电子密度分布在磁赤道附近存在赤道异常、两极地区的磁场强度最大有关。廓线质量的季节变化较明显,在南、北半球,冬、春两季的廓线不合格率均显著高于夏、秋两季。另外,廓线质量具有一定昼夜分布特性,不合格率白天明显较夜晚低,且在晨昏分界线上变化较大。合格廓线的电子密度峰值和峰值高度分布在磁赤道附近明显高于其他区域,呈现"双驼峰"现象。     

多碱光电阴极饱和机理研究

多碱光电阴极饱和机理的研究对于提高阴极电子发射能力具有重要意义。依据光电阴极三步电子发射理论,采用蒙特卡洛法研究了多碱光电阴极的电子发射过程。研究结果与相关文献中的实验数据进行了对比分析,光子能量临近光电阴极响应阈值附近时,得到的量子效率曲线以及电子能量分布曲线与实验数据吻合良好。基于上述模型,研究了光压效应和空间电荷效应对多碱光电阴极电子发射特性的影响。结果表明,多碱光电阴极在光压效应限制下的阈值饱和激光能量密度约为8μJ/cm~2,在空间电荷效应限制下的阈值饱和激光能量密度约为2. 23μJ/cm~2。开展了266 nm激光辐照多碱光电阴极实验,经测量,多碱光电阴极的阈值饱和激光能量密度约为2μJ/cm~2,这表明空间电荷效应是限制其光电子发射能力的主要因素。     

成败型产品验收试验方案研究

在可靠性定型试验的基础上,利用多层贝叶斯方法确定批产品可靠性指标的先验分布,从而制定出成败型产品可靠性验收试验的一种贝叶斯方案.给出利用定型试验信息确定产品可靠性指标先验分布的方法.这种验收方法充分利用了产品定型试验中的先验信息,在确保有较好验收效果的前提下,与传统的验收试验相比,可以大大减少试验量,从而得到可观的经济效益.     

武器系统研制单位管理水平的贝叶斯评估分析

将Bayes理论应用于对武器系统研制单位管理水平的评估.克服了验前评估方法主观性大的缺陷,充分利用收集到的补充信息,对评估结果作了后验预分析,得到了更加可信的评估结论,从而改进了决策过程.     

光顺样条函数的再生核表示与计算

光顺样条是散乱数据拟合的理想函数,是噪声数据最优平滑的重要工具。因此,光顺样条的数学表示和计算的研究具有重要的意义。本文在一般的线性微分算子和线性泛函的情况下讨论光顺样条函数的构造和计算,通过构造一个适当的再生核Hilbert空间,使得所讨论的微分算子光顺样条成为该空间中的最小范数问题,再利用投影理论建立了光顺样条函数的再生核表示方法,并得到了插值偏差表达式。作为特例,还给出了奇次多项式光顺样条函数新的简洁的计算方法。     

A general model of heterogeneous system lifetimes and conditions for system burn‐in

Burn‐in is a technique to enhance reliability by eliminating weak items from a population of items having heterogeneous lifetimes. System burn‐in can improve system reliability, but the conditions for system burn‐in to be performed after component burn‐in remain a little understood mathematical challenge. To derive such conditions, we first introduce a general model of heterogeneous system lifetimes, in which the component burn‐in information and assembly problems are related to the prediction of system burn‐in. Many existing system burn‐in models become special cases and two important results are identified. First, heterogeneous system lifetimes can be understood naturally as a consequence of heterogeneous component lifetimes and heterogeneous assembly quality. Second, system burn‐in is effective if assembly quality variation in the components and connections which are arranged in series is greater than a threshold, where the threshold depends on the system structure and component failure rates. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 364–380, 2003.     

阵列雷达自适应多零点单脉冲群目标测角算法

针对阵列体制雷达，由极大似然估计导出自适应多零点单脉冲测角原理。分析发现迭代步长过大导致双零点单脉冲技术在多目标条件下失效，因此提出加权步长改进角度估计的迭代过程，只需要较少计算量就能实现群内多个目标的精确测角。仿真结果表明：该算法在较高信噪比条件下可以精确测量群内三个目标角度，测角误差约为0.15倍波束宽度；当群目标数较多或者目标相位差接近于0时，算法性能下降明显。     

基于声强矢量的舰船目标运动参数估计

基于声强矢量测量法提出了舰船目标运动参数的估计方法,并提出了快速算法.计算机仿真实验表明,以上算法是可行的,可以实时估计出舰船的速度和距离。