Using a birth‐and‐death process to estimate the steady‐state distribution of a periodic queue

If the number of customers in a queueing system as a function of time has a proper limiting steady‐state distribution, then that steady‐state distribution can be estimated from system data by fitting a general stationary birth‐and‐death (BD) process model to the data and solving for its steady‐state distribution using the familiar local‐balance steady‐state equation for BD processes, even if the actual process is not a BD process. We show that this indirect way to estimate the steady‐state distribution can be effective for periodic queues, because the fitted birth and death rates often have special structure allowing them to be estimated efficiently by fitting parametric functions with only a few parameters, for example, 2. We focus on the multiserver M_t/GI/s queue with a nonhomogeneous Poisson arrival process having a periodic time‐varying rate function. We establish properties of its steady‐state distribution and fitted BD rates. We also show that the fitted BD rates can be a useful diagnostic tool to see if an M_t/GI/s model is appropriate for a complex queueing system. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 664–685, 2015     

供油挂车泵机油温度变化规律实验研究

通过实验研究了100 mm野战输油管线供油挂车泵运行时及停运后机油温度随时间的变化规律。采用数据拟合、回归分析等数学方法,分别研究了供油挂车泵空载和带负荷两种情况下机油温度的变化规律;针对供油挂车泵各种工作状态,分析了影响机油温度变化的主要因素,建立了温度变化数学模型。研究结果为100 mm和150 mm野战输油管线供、输油挂车泵机组模拟器的研制提供了一定参考。     

一种快速解算火箭助飞鱼雷关机点方法

为解决火箭助飞鱼雷射程与关机点计算速度问题,运用Chebyshev正交多项式拟合曲线,提出了一种基于时间或能量关机的计算方法.可根据不同的射程快速解算助飞雷关机点,达到实时控制助飞雷射程的目的,与现有方法相比,计算简洁、迅速.最后给出了关机方法软件的仿真流程,并将该软件应用于某助飞雷仿真系统,论证了该方法的可行性.     

基于Prony算法的大型结构振动信号降噪方法

以去除力锤激励下大型结构振动信号的背景噪声为研究目的，分析了背景噪声产生的原因及结构振动信号的特点，提出了将Prony算法应用于降噪的方法。该方法首先用一组衰减余弦信号分量之和来拟合原始信号，得出各衰减余弦信号的参数，然后根据振动信号的特点从中识别出背景噪声并构造其数学表达式，最后进行降噪处理。运用传统Prony算法和改进Prony算法分别对仿真信号和实测信号进行降噪处理，其结果证明了Prony算法的有效性，且改进的Prony算法具有更高的识别精度和更好的降噪效果。     

Approximating the nondominated frontiers of multi‐objective combinatorial optimization problems

Finding all nondominated vectors for multi‐objective combinatorial optimization (MOCO) problems is computationally very hard in general. We approximate the nondominated frontiers of MOCO problems by fitting smooth hypersurfaces. For a given problem, we fit the hypersurface using a single nondominated reference vector. We experiment with different types of MOCO problems and demonstrate that in all cases the fitted hypersurfaces approximate all nondominated vectors well. We discuss that such an approximation is useful to find the neighborhood of preferred regions of the nondominated vectors with very little computational effort. Further computational effort can then be spent in the identified region to find the actual nondominated vectors the decision maker will prefer. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

基于方位数值拟合的目标机动改变判断*

被动声纳和侦察雷达等传感器材对目标的探测仅能获取目标方位信息。虽然基于纯方位信息和探测平台机动位置的方位平差法,能够解算得出定向定速运动目标的要素,然而在实际作战应用中,目标可能会频繁地出现转向机动,使运动要素永远也不可能收敛。判明目标改变机动具有十分重要的战术价值。本文研究给出了一种基于时间方位拟合的目标转向运动判断方法,并结合典型态势进行了仿真分析,得出了拟合判断参数,研究结果为目标运动要素解算控制、潜艇查明水面舰艇巡逻线等作战应用提供目标转向判断依据。与方位滤波方法相比,这一方法概念清晰、算法简单、实用性强。     

量测坐标系下的纯距离自适应跟踪算法

为避免传统雷达数据处理方法中因坐标变换而导致噪声统计规律变化的问题,基于“当前”统计模型,在量测坐标系下提出一种纯距离自适应跟踪算法。算法基于拟合的思想,利用纯距离信息在量测坐标系下进行滤波计算,避免了由于坐标系的变换而产生的偏差和耦合误差。针对目标发生机动的情况,实时地调整加速度方差,从而达到自适应跟踪目标的效果。仿真结果表明,该算法对目标状态的估计更加精确,对机动目标具有较好的跟踪性能。     

基于高精度景象匹配的SAR平台定位方法

提出一种利用SAR图像与光学基准图高精度匹配实现SAR平台定位的方法。利用成像中间时刻SAR平台与SAR图像中心线上物点在水平面的投影共线的特性,在图像中心线上均匀选取若干点作为匹配点,并与光学基准图进行高精度景象匹配获取它们的物点坐标;根据这些物点坐标估计出图像中心线在当地水平面投影的直线方程;利用直线信息和斜距高度信息计算SAR平台在水平面上的投影点位置,进而计算得到成像中间时刻SAR平台的空间位置。为了进一步提高匹配精度,分别提出对正侧视和斜视SAR图像匹配区域进行几何粗校正的方法。还分析了不同误差因素对平台定位精度的影响,并给出精度估计公式。仿真和实际图像实验结果表明,方法正确可行,具有较高的定位精度,具备工程实用价值。     

利用曲线拟合方法分析暂态振荡信号

提出了一种利用曲线拟含定量分析暂态振荡信号的方法.该方法给出的暂态振荡信号模型能够反映振荡的幅度和频率随时间变化的规律.提出了利用曲线拟合方法确定该摸型的具体参数的步骤:首先利用三次样条插值求出信号的上包络曲线,对其采用指数衰减信号模型来进行拟合以描述信号振荡幅度的变化参数;然后得到信号频率变化部分的正弦形式,利用 Hilbert 变换提取出正弦部分的相位,并采用幂指数信号模型进行拟合以描述信号振荡频率的变化参数.与以往分析暂态振荡信号的方法相比,该方法可对信号进行定量分析.仿真和试验结果表明,采用曲线拟合方法确定模型参数,实现过程简单,均方根误差小;对实际信号的分析则表明所提出的模型能够真实地反映出实际暂态振荡信号的变化规律.     

Fragment spatial distribution of prismatic casing under internal explosive loading

Non-cylindrical casings filled with explosives have undergone rapid development in warhead design and explosion control. The fragment spatial distribution of prismatic casings is more complex than that of traditional cylindrical casings. In this study, numerical and experimental investigations into the fragment spatial distribution of a prismatic casing were conducted. A new numerical method, which adds the Lagrangian marker points to the Eulerian grid, was proposed to track the multi-material interfaces and material dynamic fractures. Physical quantity mappings between the Lagrangian marker points and Eulerian grid were achieved by their topological relationship. Thereafter, the fragment spatial distributions of the prismatic casing with different fragment sizes, fragment shapes, and casing geometries were obtained using the numerical method. Moreover, fragment spatial distribution experiments were conducted on the prismatic casing with different fragment sizes and shapes, and the experimental data were compared with the numerical results. The effects of the fragment and casing geometry on the fragment spatial distributions were determined by analyzing the numerical results and experimental data. Finally, a formula including the casing geometry parameters was fitted to predict the fragment spatial distribution of the prismatic casing under internal explosive loading.