基于SDP松弛的干扰资源优化分配技术研究

提出一种基于semidefinite programming(简称SDP)松弛的干扰资源优化分配算法。在问题优化过程中首先对模型中非凸的约束条件进行松弛,变为凸约束,将原来的数学模型转化成SDP求解形式,利用内点算法对松弛后的模型求解。该算法利用解析的手段使得干扰资源优化分配问题中的NP难问题在多项式时间内得以解决,并且有较高的可靠性。仿真结果验证了算法的有效性。     

Power series expansions for the distribution and mean value function of a geometric process with Weibull interarrival times

The geometric process is considered when the distribution of the first interarrival time is assumed to be Weibull. Its one‐dimensional probability distribution is derived as a power series expansion of the convolution of the Weibull distributions. Further, the mean value function is expanded into a power series using an integral equation. © 2014 Wiley Periodicals, Inc. Naval Research Logistics, 61: 599–603, 2014     

用非概率理论分析混合不确定性结构的可靠性

针对不确定性结构可靠性分析中的输入变量分布参数具有不确定性和输入变量为区间模型的混合不确定性结构展开研究。考虑到可用信息最少的情况,将分布参数的不确定性描述为区间模型。通过等概率转换方法将随机变量与其分布参数进行分离,使问题转化为随机与区间变量混合的可靠性问题,建立了混合不确定性问题的可靠性分析模型。基于非概率可靠性理论,建立混合不确定结构分析模型的二级极限状态函数并结合Kriging代理模型建立了高效的求解方法。将所建立的混合不确定模型应用于飞行器结构的不确定性分析中,验证了所建模型的合理性和所提方法的高效性和准确性。     

强激光在超音速射流剪切层中传播的数值研究

以波长10 6μm、半径0 1m、强度166W的高功率CO2激光束穿过二维超音速自由射流剪切层流场为计算模型,研究了由于强激光束辐射加热对流场的干扰以及激光束穿过超音速射流剪切层后远场光强分布的变化。结果表明:在不同的马赫数下超音速射流剪切层流场对激光束远场强度分布影响明显不同,流场密度分布的微小变化都会使光束远场强度分布产生显见的不同;对于透过超音速射流流场的非聚焦的强激光束,由强激光束所产生的辐射加热对流场所造成的干扰可以忽略。     

Bivariate models from univariate life distributions: A characterization cum modeling approach

Bivariate life distribution models are of importance for studying interdependent components. We present a generic approach by introducing a new concept of characterized model in stead of a characterized distribution. It strikes a balance between characterization and modeling approaches to eliminate their individual limitations and incorporate their respective strengths. The proposed model, being a characterized one, admits many important properties irrespective of the choice of marginal distributions. The retention of univariate IFR, DFR, IFRA, DFRA, NBU, and NWU class properties in the bivariate setup has been ensured along with some results on series combinations and convolution. No other models, available in the literature, can ensure simultaneous retention of these fundamental and extremely important class properties. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Exact likelihood inference for the exponential distribution under generalized Type‐I and Type‐II hybrid censoring

Chen and Bhattacharyya [Exact confidence bounds for an exponential parameter under hybrid censoring, Commun Statist Theory Methods 17 (1988), 1857–1870] considered a hybrid censoring scheme and obtained the exact distribution of the maximum likelihood estimator of the mean of an exponential distribution along with an exact lower confidence bound. Childs et al. [Exact likelihood inference based on Type‐I and Type‐II hybrid censored samples from the exponential distribution, Ann Inst Statist Math 55 (2003), 319–330] recently derived an alternative simpler expression for the distribution of the MLE. These authors also proposed a new hybrid censoring scheme and derived similar results for the exponential model. In this paper, we propose two generalized hybrid censoring schemes which have some advantages over the hybrid censoring schemes already discussed in the literature. We then derive the exact distribution of the maximum likelihood estimator as well as exact confidence intervals for the mean of the exponential distribution under these generalized hybrid censoring schemes. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

R-C系统中由表面散射引起的视场内杂散光分布

推导了R-C系统焦平面上由主镜和次镜表面散射引起的视场内杂散光分布的近似解析表达式.针对典型R-C系统的视场内杂散光分布,由近似表达式得到的计算结果与利用商业光学仿真软件得到的模拟结果具有较好的一致性,说明了近似表达式的正确性.与焦平面上无像差衍射光分布相比较,可以方便地分析强光入射时R-C系统焦平面上不同区域的饱和机制.研究结果表明,对于典型的R-C系统,探测器表面上以几何像点为中心,半径为2.5mm的范围内,衍射光是引起探测器饱和的主要因素;在此范围外,表面散射造成探测器的饱和.该结果为进一步研究强光饱和实验,解释有关现象提供理论分析基础.     

A spatial rank‐based multivariate EWMA control chart

Nonparametric control charts are useful in statistical process control when there is a lack of or limited knowledge about the underlying process distribution, especially when the process measurement is multivariate. This article develops a new multivariate self‐starting methodology for monitoring location parameters. It is based on adapting the multivariate spatial rank to on‐line sequential monitoring. The weighted version of the rank‐based test is used to formulate the charting statistic by incorporating the exponentially weighted moving average control scheme. It is robust to non‐normally distributed data, easy to construct, fast to compute and also very efficient in detecting multivariate process shifts, especially small or moderate shifts which occur when the process distribution is heavy‐tailed or skewed. As it avoids the need for a lengthy data‐gathering step before charting and it does not require knowledge of the underlying distribution, the proposed control chart is particularly useful in start‐up or short‐run situations. A real‐data example from white wine production processes shows that it performs quite well. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 91–110, 2012     

柴油机排气集水箱降温特性及其影响因素

针对常规潜艇柴油机排气系统集水箱,分别建立了不同管束结构集水箱的数值模型,并得到了各自内部流场及温度场的分布;分析了细管长度、细管转折形式和布置形式对其冷却降温性能和阻力特性的影响。结果表明:内层管长L1大于外层管长L2的结构比等管长的结构排气阻力小,降温冷却效果更明显;细管末端的弯管与折管相比,排气阻力小,降温性能更优越。     

运动潜艇的感应电场分布

采用相对论电磁变换法计算了单个磁偶极子匀速运动时产生的感应电场三分量。利用沿圆柱表面排列的磁偶极子阵列近似模拟潜艇的磁场分布,通过对磁偶极子阵列运动感应电场三分量的积分运算,得到了潜艇运动感应电场的分布规律,解决了由高斯定理计算感应电场因电场方向不同难以进行积分运算的难题。利用海水中布放的传感器,实际测量了运动潜艇模型的感应电场,测量结果验证了所提出的感应电场计算方法的正确性。