Distribution of number of point targets killed and higher moments of coverage of area targets

The coverage C of area targets by salvos of weapons generally varies randomly, because of random target location and weapon impact point fluctuations. A third source of variation appears when, instead of an area target, a multiple-element target is considered, consisting of m point targets distributed randomly and independently of one another around the target center. A multiple-integral expression is derived for the probability p_k of killing exactly k target elements. It is shown that p_k is a linear function of the higher moments, of the order k to m, of the area coverage C. More explicit expressions are derived for the case of two weapons and for circular-symmetric functions. Similar to well-known results for the expectation and variance of coverage of area targets, these expressions can be evaluated by numerical quadrature. Furthermore, the coverage problem in which all underlying functions are Gaussian can be completely solved in closed form. For such a problem, with two weapons, numerical results are presented. They show that the distribution of k can be approximated by a binomial distribution only if the target center and weapon impact point fluctuations are small.     

On optimal aiming to hit a linear target

Typically weapon systems have an inherent systematic error and a random error for each round, centered around its mean point of impact. The systematic error is common to all aimings. Assume such a system for which there is a preassigned amount of ammunition of n rounds to engage a given target simultaneously, and which is capable of administering their fire with individual aiming points (allowing “offsets”). The objective is to determine the best aiming points for the system so as to maximize the probability of hitting the target by at least one of the n rounds. In this paper we focus on the special case where the target is linear (one‐dimensional) and there are no random errors. We prove that as long as the aiming error is symmetrically distributed and possesses one mode at zero, the optimal aiming is independent of the particular error distribution, and we specify the optimal aiming points. Possible extensions are further discussed, as well as civilian applications in manufacturing, radio‐electronics, and detection. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 323–333, 1999     

On maximization of the integral of a bell-shaped function over a symmetric set

Given a target T in Euclidean n-space Rⁿ and a point bomb whose point of impact in Rⁿ is governed by a probability distribution about the aim point a, what choice of a maximizes the probability of a hit v_a(T)? Of course, only in special cases is an exact solution of this problem obtainable. This paper treats targets T which are symmetric about the origin o and demonstrates conditions on the extent of T and the impact density f, a density with respect to Lebesgue measure, sufficient for v_a(T) to be monotone in the distance from a to o and maximized at a = o. The results are applied to various tactical situations.     

多平台目标定位误差估计技术研究

目标定位的目的之一是为了对目标发起攻击,而定位误差直接影响到武器的打击效果,如制导武器的发现概率和命中概率.为了及时、准确地把握目标定位误差的大小及分布,为控制/导引制导武器提供依据,给出了目标定位误差估计模型,并在实验室仿真环境下对所提出的定位误差估计技术进行了仿真验证,验证结果表明了误差估计算法的适应性、有效性.     

定量的近距空战训练对抗态势分析方法

针对近距对抗态势分析不能量化的不足,提出一种定量的近距空战训练对抗态势分析方法。该方法以对抗过程中双方的位置关系为基础,结合近距空空导弹的攻击包线,建立位置优势函数和武器优势函数,通过两类函数的线性组合构造对抗态势函数,实现了空战训练对抗态势的定量描述。通过算例验证了该方法的合理性和有效性。     

CEC条件下舰艇编队目标武器分配研究

在分析CEC条件下舰艇编队目标武器分配模式的基础上,综合运用MAS理论与方法,建立了舰艇编队目标武器分配MAS模型,即利用Agent描述舰艇编队的各种物理资源或逻辑资源,通过网络及Agent通讯协议将多个Agent连接成一个整体系统,设计了映射实体功能的Agent结构,从而为舰艇编队目标武器分配决策提供了一条新途径.     

水面舰艇编队反潜武器系统架构与关键技术?

针对网络中心战条件下的水面舰艇编队反潜武器系统，介绍了国内外编队防空的发展阶段和研究现状，对编队反潜武器系统的架构进行初步探究，分析了编队反潜武器系统的6个主要功能，提炼出以下3个关键技术：编队水下数据融合技术、目标运动参数精确解算技术和编队反潜火力通道组织技术。研究结果为行业相关技术人员提供参考。     

基于建模仿真的靶标验证与确认方法研究

在武器系统试验鉴定中,靶标模拟威胁目标的逼真程度直接关系到试验结果的可信度,关系到靶场试验质量和效益。因此,在武器系统试验鉴定中科学规范地选择靶标、评估靶标对试验结果的影响至关重要。本文分析在试验选靶中进行靶标验证和确认的需求,解析相关概念,阐述了建模仿真对靶标的验证和确认的重要作用;以空中靶标为例,重点研究基于建模仿真的靶标验证与确认方法。     

燃气射流引起的火箭发射系统振动特性分析

以火箭发射系统为研究对象,对其56°射角工况下发射过程中的振动特性进行分析。创新点在于确定发射过程中动态载荷的加载方法,即首先根据发射系统有限元分析结果确定迎气面上试验测量点的具体位置,然后测得燃气射流冲击压强随时间变化的数值,并对试验测得数据进行处理,最后推导冲击压力对于径向距离的直线公式。所采用的冲击压强分析方法为研究其他武器系统受燃气射流冲击的影响提供了重要的指导意义。     

基于单发地空导弹测试数据的武器精度检验

在地空导弹命中精度检验问题中,提出了充分利用单发导弹的测试数据进行命中精度的检验。该思想是利用χ2检验法对导弹速度的瞬时误差（系统误差）的方差进行检验,并给出了在测出导弹7、9、11个轨迹点条件下的2类风险临界值表,为武器精度检验提供了一定依据。     

某型火箭炮弹对面积目标的毁伤仿真

某型火箭炮是新型的主战装备,对其战术技术性能的研究具有重要意义。采用仿真的方法对该型武器系统对目标的毁伤过程进行研究,可以大大节约实弹射击所需经费,并且可以动态地观察毁伤过程的细节。根据某型火箭炮弹抛撒子弹模型及子弹毁伤目标性能指标,采用理论分析和计算机模拟手段,对该型火箭炮弹对面积目标的毁伤过程进行了仿真,并得出了毁伤效率随子弹枚数和CEP的变化规律。研究成果对该型武器系统的作战运用具有借鉴意义。     

目标摆式机动对反导舰炮射击精度的影响

为了探讨目标机动对舰炮武器系统射击精度的影响,采用仿真方法计算了目标末端摆式机动时近程反导舰炮武器系统的命中概率,以图示方式给出多种机动周期、多种摆幅、2种射速条件下的计算结果.结果表明,较小周期的摆式机动可显著降低舰炮武器系统命中概率,提高舰炮射速是增大对机动目标命中概率的有效途径.     

陆基常规导弹武器系统射击效率评估

现行的陆基常规导弹武器射击效率的算法原理滞后于导弹作战实际需要.针对毁伤律问题、积累毁伤效应问题、相关性问题、目标毁伤的模糊性问题进行了探讨,指出应用当代新的数学理论方法改造现行陆基常规导弹射击效率算法理论的必要性和迫切性.     

地地战术导弹武器系统信息作战效能评估

结合地地战术导弹武器系统的实际,运用层次分析法和模糊综合评判法,通过对影响信息化条件下武器系统作战效能的不确定性因素进行分析,建立了多层次的作战效能评估指标体系。实例表明,该方法科学合理,评估结果具有很高的可信度,可以为地地战术导弹部队的作战使用及后续系统的研制提供科学的依据。     

基于状态监控的武器系统管理体系构建与功能分析

将CBM＋技术及思想应用于武器系统管理领域，提出了基于状态监控的武器系统管理思路。以某武器系统为研究对象，分析了基于状态监控的武器系统管理的特点；按照模块化原则、管理功能模块与信息保障模块对应原则和集成原则，构建了基于状态监控的武器系统管理体系；探讨了该管理体系中各组成模块的结构设计，并分析了其功能。研究结果为实现武器系统使用中的状态监控与信息化管理提供了体系框架。     

磁偶极子信号检测和参数估计

在分析了经典磁偶极子模型的基础上 ,指出该模型是两个函数的组合 ,目标参数包含在这两个函数的参数里 .提出了二次函数组合法 ,能够在绝大多数情况下将这两个函数分离 ,逐步求出目标参数 .最后对实例进行了仿真计算 ,给出了较满意的结果     

Damage functions and estimates of fratricide and collateral damage

There are multiple damage functions in the literature to estimate the probability that a single weapon detonation destroys a point target. This paper addresses differences in the tails of four of the more popular damage functions. These four cover the asymptotic tail behaviors of all monotonically decreasing damage functions with well‐behaved hazard functions. The differences in estimates of probability of kill are quite dramatic for large aim‐point offsets. This is particularly important when balancing the number of threats that can be engaged with the chances of fratricide and collateral damage. In general, analysts substituting one damage function for another may badly estimate kill probabilities in offset‐aiming, which could result in poor doctrine. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 306–321, 2003.     

A branch‐and‐price algorithm for a targeting problem

In this paper, we consider a new weapon‐target allocation problem with the objective of minimizing the overall firing cost. The problem is formulated as a nonlinear integer programming model, but it can be transformed into a linear integer programming model. We present a branch‐and‐price algorithm for the problem employing the disaggregated formulation, which has exponentially many columns denoting the feasible allocations of weapon systems to each target. A greedy‐style heuristic is used to get some initial columns to start the column generation. A branching strategy compatible with the pricing problem is also proposed. Computational results using randomly generated data show this approach is promising for the targeting problem. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

某型飞机武器控制系统原理分析

详细讲述了某型飞机武器控制系统各功能模块的组成和功能,按照不同的信号线路详细分析了武器控制系统的工作原理,总结归纳出该系统所具有的功能,为进一步研究该武器控制系统打下基础     

The probability of survival of a subterranean target under mtensive attack

This paper deals with the analysis of a model for studying the probability of survival of a subterranean target under an intensive attack. Most of the analysis is based on the assumption that the explosions are circularly distributed about the target and that the number of explosions is known. In the last two sections it is shown what effect a relaxation of these assumptions has on the probability of survival of the target.