基于贝叶斯混合博弈的空袭火力资源分配决策模型

从博弈论的角度出发研究空袭火力资源的分配问题,针对空袭编队和防空火力单元攻防对抗过程中存在的不确定性、静态性以及动态性,建立基于贝叶斯混合博弈的空袭对抗火力分配模型。通过构造贝叶斯混合博弈树,采用逆向回溯法分别建立不同的博弈分析模型,利用混合粒子群算法求解那什均衡。仿真结果表明:以博弈论为背景研究空袭作战火力分配问题,符合真实的作战坏境,有效性好,有较高的理论应用价值。     

华东烧结模型的数学计算(Ⅱ)

通过热力学分析和数学计算，讨论颗粒呈现面心立方堆积方式时，华东烧结模型中膨胀机制和收缩机制对烧结体总表面能的作用和总孔隙度比变化的影响，计算表明烧结过程中收缩机制占主导地位。     

均匀设计在柴油无灰节能降污添加剂配方研制中的应用

基于低压氧弹燃烧法研究了充氧压力分别为0．6MPa和0．9MPa时两种无灰型柴油添加剂不同配比对助燃性能的影响。采用均匀实验设计和Matlab回归优化的方法，得到复配体系的最优配方，并对其进行了验证。结果表明，由Matlab回归分析得到的完全二次回归模型最理想，0．6MPa时由该模型得到的最优配方为：添加剂A和B的质量分数分别是0．300‰和0．700‰，并通过实验验证得到的发热量达到最大，变化率为8．697％。0．9MPa时，结合直观分析和回归分析，得到与实际相符的最优配方：添加剂A和B的质量分数分别是0．600‰和0．900‰，此时发热量皮化率为4．453％。     

Estimating failure time distribution and its parameters based on intermediate data from a Wiener degradation model

Instead of measuring a Wiener degradation or performance process at predetermined time points to track degradation or performance of a product for estimating its lifetime, we propose to obtain the first‐passage times of the process over certain nonfailure thresholds. Based on only these intermediate data, we obtain the uniformly minimum variance unbiased estimator and uniformly most accurate confidence interval for the mean lifetime. For estimating the lifetime distribution function, we propose a modified maximum likelihood estimator and a new estimator and prove that, by increasing the sample size of the intermediate data, these estimators and the above‐mentioned estimator of the mean lifetime can achieve the same levels of accuracy as the estimators assuming one has failure times. Thus, our method of using only intermediate data is useful for highly reliable products when their failure times are difficult to obtain. Furthermore, we show that the proposed new estimator of the lifetime distribution function is more accurate than the standard and modified maximum likelihood estimators. We also obtain approximate confidence intervals for the lifetime distribution function and its percentiles. Finally, we use light‐emitting diodes as an example to illustrate our method and demonstrate how to validate the Wiener assumption during the testing. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

布尔函数的Walsh谱绝对值分布及其性质研究

提出并研究了布尔函数的Walsh谱绝对值分布.指出布尔函数Walsh谱绝对值分布在仿射变换下的不变性,计算了n(n≤5)元布尔函数的Walsh谱绝对值分布,研究了Walsh谱绝对值分布与Walsh谱支撑和Walsh谱中非零取值个数以及其他一些密码学难题的联系,最后研究了布尔函数的Walsh谱绝对值分布的大小.     

雷达干扰资源一对多分配方法

在对雷达干扰资源分配的一般优化模型和求解算法进行分析的基础上,从提高资源利用效率的角度出发,提出了目标雷达分群思想,并建立了一种新的基于一对多策略的雷达干扰资源分配模型,通过对目标雷达群的一对一分配实现对单部雷达的一对多分配.最后,对该模型中一些关键性问题进行了探讨,如任务整合、新任务参数确定、任务优先级排序、干扰机位置部署以及单目标雷达群干扰效益评估等.     

考虑射程影响的导弹火力分配研究

火力分配问题在弹道导弹射击中具有极为重要的地位。通常,人们在考虑火力分配问题时常常认为弹道导弹的射击精度是固定不变的。事实上,弹道导弹的射击精度是随着其射程的不同而变化的。分析了导致这种变化的内在原因,研究了该因素对于火力分配问题的影响,提出了一种基于变化射程的火力分配模型。     

并行离散事件仿真中的DDM机制实现

在并行离散事件仿真系统中实现仿真模型间的互操作机制需要引入类似HLA中定义的声明管理(DM)和数据分发管理(DDM)服务.我们开发的KD-PADSE高性能并行离散事件仿真环境采用谓词断言和对象代理方法在面向对象的并行离散事件仿真系统中实现了基于平行结构和事件调度机制的声明管理(DM)和数据分发管理(DDM)服务.在以千兆以太网互联的10节点Linux集群计算机上,采用DDM机制后仿真模型每秒(物理时间)可以进行1万次属性更新,是没有采用DDM机制时的20倍,在功能性和性能上验证了该DDM机制在并行离散事件仿真系统中的适用性.     

Subspace dynamic‐simplex linear interpolation search for mixed‐integer black‐box optimization problems

Design and management of complex systems with both integer and continuous decision variables can be guided using mixed‐integer optimization models and analysis. We propose a new mixed‐integer black‐box optimization (MIBO) method, subspace dynamic‐simplex linear interpolation search (SD‐SLIS), for decision making problems in which system performance can only be evaluated with a computer black‐box model. Through a sequence of gradient‐type local searches in subspaces of solution space, SD‐SLIS is particularly efficient for such MIBO problems with scaling issues. We discuss the convergence conditions and properties of SD‐SLIS algorithms for a class of MIBO problems. Under mild conditions, SD‐SLIS is proved to converge to a stationary solution asymptotically. We apply SD‐SLIS to six example problems including two MIBO problems associated with petroleum field development projects. The algorithm performance of SD‐SLIS is compared with that of a state‐of‐the‐art direct‐search method, NOMAD, and that of a full space simplex interpolation search, Full‐SLIS. The numerical results suggest that SD‐SLIS solves the example problems efficiently and outperforms the compared methods for most of the example cases. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 305–322, 2017     

基于时频分布的弹道导弹目标识别方法

在弹道导弹目标识别中,微动特征是重要的识别手段。从弹道导弹微动特性时频分析出发,提出一种基于时频分布的弹道导弹目标识别方法。该方法将时频分布图的伪Zeinike不变矩特征作为识别特征。首先对回波信号进行时频变换以获取时频图像;然后为了降低噪声的影响,对其进行图形预处理;最后给出了伪Zernike不变矩提取步骤及识别特征的选取原则。通过仿真实验,分析了不同特征组合对识别率的影响,评估了不同信噪比下识别方法的稳定性。实验结果表明,该方法具有一定稳定性,可用于弹道导弹目标识别。