机载雷达系统测距算法

给出了机载雷达系统独立判定接近距离及接近速度的多回路跟踪测量器的状态模型和观测模型,并对这些模型进行了论证分析。基于最优控制的相关理论,重点分析研究了跟踪测量器的最优调节算法,并分析给出了该算法的权重系数选定原则和方法,最后通过仿真算例,推证了算法的可行性。利用上述算法可为研究机载雷达系统跟踪高度机动的目标问题提供参考。     

Approximating nondominated sets in continuous multiobjective optimization problems

Many important problems in Operations Research and Statistics require the computation of nondominated (or Pareto or efficient) sets. This task may be currently undertaken efficiently for discrete sets of alternatives or for continuous sets under special and fairly tight structural conditions. Under more general continuous settings, parametric characterisations of the nondominated set, for example through convex combinations of the objective functions or ε‐constrained problems, or discretizations‐based approaches, pose several problems. In this paper, the lack of a general approach to approximate the nondominated set in continuous multiobjective problems is addressed. Our simulation‐based procedure only requires to sample from the set of alternatives and check whether an alternative dominates another. Stopping rules, efficient sampling schemes, and procedures to check for dominance are proposed. A continuous approximation to the nondominated set is obtained by fitting a surface through the points of a discrete approximation, using a local (robust) regression method. Other actions like clustering and projecting points onto the frontier are required in nonconvex feasible regions and nonconnected Pareto sets. In a sense, our method may be seen as an evolutionary algorithm with a variable population size. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

A generalization of the weighted set covering problem

We study a generalization of the weighted set covering problem where every element needs to be covered multiple times. When no set contains more than two elements, we can solve the problem in polynomial time by solving a corresponding weighted perfect b‐matching problem. In general, we may use a polynomial‐time greedy heuristic similar to the one for the classical weighted set covering problem studied by D.S. Johnson [Approximation algorithms for combinatorial problems, J Comput Syst Sci 9 (1974), 256–278], L. Lovasz [On the ratio of optimal integral and fractional covers, Discrete Math 13 (1975), 383–390], and V. Chvatal [A greedy heuristic for the set‐covering problem, Math Oper Res 4(3) (1979), 233–235] to get an approximate solution for the problem. We find a worst‐case bound for the heuristic similar to that for the classical problem. In addition, we introduce a general type of probability distribution for the population of the problem instances and prove that the greedy heuristic is asymptotically optimal for instances drawn from such a distribution. We also conduct computational studies to compare solutions resulting from running the heuristic and from running the commercial integer programming solver CPLEX on problem instances drawn from a more specific type of distribution. The results clearly exemplify benefits of using the greedy heuristic when problem instances are large. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

型号项目工期风险管理决策模型与自适应遗传算法

针对型号项目的过程特点,建立了型号项目工期风险的管理决策模型。模型考虑了型号项目中活动重叠、活动迭代、活动执行时间的不确定性和可更新资源总量等重要的工期风险影响因素。从模型的特点出发,给出了问题求解的基于自适应遗传算法的仿真优化方法。算例显示,该算法能较好地求解本文的工期风险管理决策问题。     

一种基于Euler Spiral的缺失边界修复算法

在总结分析相关工作的基础上,提出了一种基于Euler Spiral修复认知轮廓中缺失边界的算法。该算法首先通过活动轮廓模型进行认知轮廓的初始定位,将视觉的预测性插值问题转化为中间插值问题,然后结合取向估计和Euler Spiral修复缺失的轮廓边界,取代了活动轮廓模型的迭代优化过程。对典型认知轮廓图形和遥感图像的实验结果验证了算法的有效性。     

箱装弹药堆积数字化管理模型及软件实现

通过对箱装弹药储存管理特点的分析,提出了堆积管理数字化的构想,给出了典型的弹药堆垛结构算法模型,进行了弹药堆积管理软件的初步设计。     

选择算子对演化硬件进化速度影响的研究

演化硬件能使武器装备系统像生物一样改变自身的结构以适应环境的变化。介绍了演化硬件的基本理论,借助于数学推导,详细分析了选择算子对进化速度的影响,提出了一个提高进化速度的方法,并通过进化实验进行验证。     

基于信息折合的CMSR方法研究

计数法和计量法是对产品可靠性评估的两种不同方法。通过仿真,比较了它们对正态单元双边可靠性评估的效率,发现对可靠性要求很高的产品,计量法优于计数法。进一步研究了基于信息析合的CMSR方法,通过仿真检验,证明了此种方法在样本量较小时是实用的。     

考虑火药中钝感剂含量分布的内弹道计算

针对某新型弹药弹道性能检测的需要,利用气相色谱法对其发射药中钝感剂含量分布进行了测定,建立了考虑钝感剂含量分布的该新型火炮的内弹道模型。模型中钝感剂对弹道性能的影响是通过对火药燃速和火药力的影响来体现的。应用该模型对2个批次的弹药进行了内弹道计算,并对一定樟脑含量的火药内弹道性能进行了预测。计算结果表明,樟脑含量对最大膛压影响较大,但对初速的影响则不如膛压明显。     

半无限大海水空间中水平电流元产生的电磁场计算

提出一种根据经典的Summerfield赫兹矢量来计算空气和海水中水平直流电流元在半无限大海水空间中所产生的电磁场的简单方法,并用J．R．Wait, P．R．Bannister和R．L．Dube的方法验证了用该方法推导出的电磁场表达式是正确的。