模糊数学在样本分类中的应用

应用模糊数学中聚类分析和模糊排序的方法,对具有多因素影响的样本分类提出一种合理的分类及排序方式,并用此方法对英语分级教学进行了研究.     

发动机运动件质量对燃油消耗率影响的分析

发展了一个发动机运动件质量对燃油消耗率影响的分析公式,进行了实例计算。在发动机设计阶段和发动机实际使用中,可以应用这个公式,估计运动件质量变化所引起的比油耗的相对变化。     

三轴MEMS加速度计的最大似然校正算法

加速度计是惯性导航系统的重要测量元件,而由于制造工艺及各类传感器误差,低成本加速度计很难达到要求的精度,因此需要对其进行校正。提出一种基于最大似然估计的加速度计自校正算法。综合考虑加速度计零偏、比例误差、非正交误差、安装误差与测量噪声,建立了传感器误差模型。在此基础上,将加速度校正问题转化为校正参数的最大似然估计问题。通过数值仿真和实测试验验证,表明算法具有较高的参数估计精度,能够有效地对上述因素引起的误差进行校正。     

GNSS接收机离散化处理对解扩性能的影响

建立扩频信号防混叠滤波、采样、量化与解扩输出关系的数学解析模型,推导得到解扩输出信噪比的解析表达式。分析与仿真表明,当量化位数大于等于4 bit,解扩得到总的信噪比损失可以分解为由量化引起的损失和滤波加采样引起损失的乘积,且量化器最优限幅系数只与量化位数相关;当量化位数小于4 bit时,信噪比损失在一定条件下可近似为量化损失和滤波加采样损失的乘积。当量化位数大于4 bit、滤波器带宽大于5倍码率、采样频率大于4倍码率时,再增大上述参数引起的信噪比损失波动小于0.05 dB,对解扩性能提升不明显。该结论可为实用型全球导航卫星系统接收机前端离散化处理优化设计提供理论指导。     

Coordinated pricing and inventory control problems with capacity constraints and fixed ordering cost

This article addresses a single‐item, finite‐horizon, periodic‐review coordinated decision model on pricing and inventory control with capacity constraints and fixed ordering cost. Demands in different periods are random and independent of each other, and their distributions depend on the price in the current period. Each period's stochastic demand function is the additive demand model. Pricing and ordering decisions are made at the beginning of each period, and all shortages are backlogged. The objective is to find an optimal policy that maximizes the total expected discounted profit. We show that the profit‐to‐go function is strongly CK‐concave, and the optimal policy has an (s,S,P) ‐like structure. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

Parametric inference for component distributions from lifetimes of systems with dependent components

In system reliability analysis, for an n ‐component system, the estimation of the performance of the components in the system is not straightforward in practice, especially when the components are dependent. Here, by assuming the n components in the system to be identically distributed with a common distribution belonging to a scale‐family and the dependence structure between the components being known, we discuss the estimation of the lifetime distributions of the components in the system based on the lifetimes of systems with the same structure. We develop a general framework for inference on the scale parameter of the component lifetime distribution. Specifically, the method of moments estimator (MME) and the maximum likelihood estimator (MLE) are derived for the scale parameter, and the conditions for the existence of the MLE are also discussed. The asymptotic confidence intervals for the scale parameter are also developed based on the MME and the MLE. General simulation procedures for the system lifetime under this model are described. Finally, some examples of two‐ and three‐component systems are presented to illustrate all the inferential procedures developed here. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

信息熵和判断矩阵的专家聚类赋权法

为了降低专家聚类赋权过程中由排序向量引起的不确定性和判断矩阵引起的矛盾性,提高权值分配的精确性,提出了基于信息熵和判断矩阵相结合的专家聚类赋权法。该方法采用聚类分析原理,对排序向量进行分类,根据分类结果、信息熵值和一致性比率确定专家权重系数。实例分析表明:基于信息熵和判断矩阵相结合的专家聚类赋权法在具体应用中得到的结果离期望值更近,说明该算法有效可行。     

主被动传感器异地配置下的航迹关联

在雷达和电子支援(ESM)传感器异地配置的情况下,提出了一种基于位置统计量和最大似然准则的异类传感器航迹关联算法。首先基于位置统计量对目标进行了航迹粗关联,排除掉一些虚假关联组合;然后采用最大似然准则对目标进行了航迹细关联,以求进一步提高雷达和ESM传感器航迹关联的检测概率。仿真结果表明,该算法能够快速、准确地完成对多目标的航迹关联。     

高灵敏度GPS软件接收机捕获算法

针对传统方法难以实现室内环境下GPS信号的捕获以及传统弱信号捕获算法的一系列弊端,介绍了一种新的捕获算法。由于数据段通过“先累加后相关”的方式进行相干积分可以减少运算量,以此方法改进的半位捕获法进行数据段选择可以避免导航数据位翻转,并且改进后的差分相干积分能够减小非相干积分造成的“平方损失”和改善信噪比,融合上述优点,提出了一种新的算法,为高灵敏度GPS软件接收机的实现提供了保证。仿真结果表明,此算法极大的提高了接收机的捕获性能,并且能够快速捕获到载噪比低至25dB/Hz的微弱信号。     

System reliability based on diffusion models for fatigue crack growth

Diffusion processes are commonly used to describe the dynamics of complex systems arising in a wide range of application fields. In this paper we propose, on the basis of diffusion processes, two models concerned with the stochastic behavior of fatigue cracks in a system. They are then used to get the distribution of the failure time, the first time the crack size of at least one of the cracks exceeds a given value. Several properties of our proposed models are presented, and the unknown parameters are estimated by the method of maximum likelihood. From these an estimate of failure time distribution is obtained. In this part, contrary to common practice, we do not assume availability of failure data. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2005