A duel complicated by false targets and uncertainty as to opponent type

An attacker, being one of two types, initiates an attack at some time in the interval [-T, 0]. The a priori probabilities of each type are known. As time elapses the defender encounters false targets which occur according to a known Poisson process and which can be properly classified with known probability. The detection and classification probabilities for each type attacker are given. If the defender responds with a weapon at the time of attack, he survives with a probability which depends on the number of weapons in his possession and on attacker type. If he does not respond, his survival probability is smaller. These probabilities are known, as well as the current number of weapons in the defender's possession. They decrease as the number of weapons decreases. The payoff is the defender's survival probability. An iterative system of first-order differential equations is derived whose unique solution V₁(t),V₂(t),…,V_k(t) is shown to be the value of the game at time t, when the defender has 1, 2,…, k,… weapons, respectively. The optimal strategies are determined. Limiting results are obtained as t→-∞, while the ratio of the number of weapons to the expected number of false targets remaining is held constant.     

空袭兵器作战效能标准化问题研究

空袭兵器作战效能标准化将典型的空袭兵器的作战效能指数向选定的标准空袭兵器转化,其转化的结果用于防空兵力需求的计算。标准化过程主要包括标准空袭兵器的选择、作战效能指标体系的建立、指标权重的计算、性能指标参数的归一、效能指数的解算和标准化系数的换算六个步骤,运用加权算法、幂指数法和层次分析法建模计算,最终得出美台主要空袭兵器标准化效能数据。为空袭兵器作战效能的标准化提供了一种科学方法,从而便于实施防空作战资源需求分析和防空作战资源作战效能分析。     

基于排队论的防空兵力部署优化模型

兵力部署优化问题是防空指控系统的重要研究内容之一。针对多型防空武器多层多区段混合部署问题,对异型空袭武器和防空武器基于作战效能标准化处理,基于排队论给出空袭武器的突防概率计算模型,将防空武器系统综合防御效能作为优化目标,建立多型防空武器扇形部署优化模型。仿真实验验证了优化模型的有效性和合理性,可为科学制定兵力部署方案提供参考。     

Stochastic duels involving reliability

The reliability of weapons in combat has been treated by Bhashyam in the context of a stochastic duel characterized by fixed ammunition supplies. negative exponentially distributed firing times and weapon lifetimes, and a fixed number of spare weapons for each duelist. The present paper takes a different approach by starting with the fundamental duel of Ancker and Williams, characterized by unlimited ammunition and by ordinary renewal firing times, and adding to it weapon lifetimes which can be functions of time or of round position in the firing sequence. Probabilities of winning and tieing are derived and it is shown that under certain conditions the weapon lifetimes are equivalent to random time and ammunition limits.     

装甲火控可靠性建模

装甲武器是陆军及其两栖机械化部队实施地面突击的主要兵器,也是海军陆战部队实施抢滩登陆、岛屿攻防的主要兵器。装甲火控是装甲武器的重要组成部分,其可靠性直接影响装甲武器的打击效能。两栖装甲武器肩负海上、陆上的作战使命,使用环境更加恶劣,可靠性问题更加突出。描述了装甲火控的一般组成、功能及工作方式,基于两栖装甲武器的使用特点,分析了装甲火控基本任务、工作方式和作战环境的关系,建立了不同任务剖面的可靠性模型,为装甲火控可靠性设计、分析提供了一种参考。     

两栖战斗车辆武器稳定系统海上适应性研究

分析了两栖战斗车辆武器稳定系统在海上浮渡时的工作特点。提出了提高系统海上适应性的方法,以提高武器系统的海上作战能力。     

定向能武器技术的发展动向

随着激光、新材料、微电子、声光、电光等高技术的发展,利用各种束能产生强大杀伤威力的定向能武器已引起世界高度重视。定向能武器成为战场上高速移动目标的"克星",是能有效制敌的"杀手锏"装备,对未来作战样式和形态具有重要影响。文章系统分析了定向能武器的军事应用前景,详细剖析了世界定向能武器技术的研究进展及发展动向,给出了未来要大力发展的激光武器、高功率微波武器和粒子束武器关键技术,对于加快我军定向能武器装备发展,提升非对称制衡能力,具有十分重要的意义。     

Explicit modeling of detection within a stochastic duel

Many mathematical models have been formulated to describe combat between two weapon systems. However, until recently duel models did not explicitly represent target detection within a duel, leading to the necessity for the development of new model for each tactical situation. An earlier article by two of the authors described a duel between weapons with constant firing times and explicit modeling of detection. This article enhances the study of this form of duel between weapons by introducing a variable parameter for firing times. This enhancement removes the discontinuities evident during parametric analysis of the earlier model and hence provides a more coherent model of this combat situation. © 1993 John Wiley & Sons, Inc.     

空军武器装备体系作战效能分析

根据空军“攻防兼备”的作战要求 ,将空军的武器装备分为作战力量装备和保障力量装备 ,并按进攻和防守两种主要的作战样式对空军的武器装备体系进行了作战效能分析 ,探讨了分析空军武器装备体系作战效能的方法和思路 ,为建立空军武器装备体系作战效能评估仿真系统提供了基础。     

A theory of ideal linear weights for heterogeneous combat forces

Detailed combat simulations can produce effectiveness tables which measure the effectiveness of each weapon class on one side of an engagement, battle, or campaign to each weapon class on the other. Effectiveness tables may also be constructed in other ways This paper assumes that effectiveness tables are given and shows how to construct from them a system of weapon weights each of which is a weighted average of the effects of a given weapon against each of the enemy's weapons. These weights utilize the Perron- Frobenius theory of eigenvectors of nonnegative matrices. Methods of calculation are discussed and some interpretations are given for both the irreducible and reducible cases.     

攻防对抗下防空导弹武器系统作战效能评估

防空导弹武器系统是反空袭作战和国土防空的重要装备,综述了评定武器系统效能的WSEIAC模型,分析了WSEIAC模型的特点,结合攻防对抗下防空导弹武器作战体系作战的过程和对抗的特点,构建了攻防对抗下的防空导弹武器作战体系效能分析指标体系,建立了一种改进的ADC模型,并对模型中每个因素的确定进行了介绍,可为决策部门提供一定的决策预报.     

现代战争制胜机理的理论探讨

现代战争是信息化条件下的高技术常规局部战争。现代战争制胜机理必须适应战斗力生成新要求,突出战斗力标准。从军队作战能力的视角,可将现代战争的制胜机理分为:信息力制胜、杀伤力制胜、防护力制胜、机动力制胜和保障力制胜五个方面,即所谓的"五力制胜",它们相互融合成一个有机整体,共同构成现代战争中克敌制胜的法宝。     

The variance of the coverage of a randomly located area target by a salvo of weapons

We derive formulas for the variance of that proportion of the value of a randomly located, circularly symmetric area target that is destroyed by N independently fired weapons of identical type whose damage functions are circularly symmetric about the respective impact points. The probability density functions of the target center location and of the weapon impact points are also circularly symmetric. The general results are specialized to uniform and Gaussian functions. In the latter case a closed-form solution (triple integral) for the variance of the coverage is derived. Similar to some well-known results on expected coverage, this expression for the variance of the coverage can be easily evaluated by numerical quadrature. Numerical results are given which indicate the target coverage variability caused by the combined effects of random target-locating errors and weapon impact point fluctuations.     

复杂电磁环境中水面舰艇作战效能评估的指数模型

复杂电磁环境中水面舰艇作战效能评估对于信息化海战场中水面舰艇兵力的战术运用极为重要,目前还处于一个探索阶段.分析了复杂电磁环境对舰艇装备的作用机理和对舰艇作战活动的影响,建立了效能评估指标体系,针对复杂电磁环境对武器装备作战效能的影响难以定量描述的问题,提出了复杂电磁环境作战效能影响因子这一概念,研究了其求解方法,在此基础上,采用指数法构造了复杂电磁环境中水面舰艇作战效能评估模型,并通过仿真验证了其可用性.     

激光防空武器系统作战效能研究

激光防空武器系统是一种新型的高技术多指标综合武器系统,其作战效能评估即是研究新型武器系统装备的主要依据,又是一件十分艰难的任务。依据WSEIAC提出的效能分析模型,建立了激光防空武器系统的ADC模型,对激光防空武器系统的作战效能作了研究,对其他武器的效能分析具有示范和借鉴作用。     

被动寻的制导技术的新进展

反辐射武器是电子对抗中硬杀伤的重要手段。在现代战争中 ,以其显著的突出性和隐蔽性赢得胜利。简要地介绍了反辐射武器的核心———被动寻的制导技术近年来的新技术、新动向及其应用情况     

平流层飞艇空间控制作战样式分析*

临近空间是未来作战的制高点之一,在分析了临近空间作战特点的基础上,建立了平流层飞艇编队作战模型,通过研究飞艇的信息对抗能力、防御能力及武器性能,表明激光武器比导弹更适合于平流层飞艇的临近空间作战,干扰通信系统比干扰侦察系统对作战结果的影响更大,采取一定的防御措施也不能对平流层飞艇的损失率产生较大影响.     

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.     

国外歼击机的发展趋势

歼击机是空中攻击的一种重要手段 ,国外很重视歼击机的研制和改进。研制新型多动能歼击机 ,改进已服役的第三代歼击机是主要发展方向。文章概述了为提高歼击机作战能力所采用的新技术和新的机载武器     

Differential-game examination of optimal time-sequential fire-support strategies

Optimal time-sequential fire-support strategies are studied through a two-person zero-sum deterministic differential game with closed-loop (or feedback) strategies. Lanchester-type equations of warfare are used in this work. In addition to the max-min principle, the theory of singular extremals is required to solve this prescribed-duration combat problem. The combat is between two heterogeneous forces, each composed of infantry and a supporting weapon system (artillery). In contrast to previous work reported in the literature, the attrition structure of the problem at hand leads to force-level-dependent optimal fire-support strategies with the attacker's optimal fire-support strategy requiring him to sometimes split his artillery fire between enemy infantry and artillery (counterbattery fire). A solution phenomnon not previously encountered in Lanchester-type differential games is that the adjoint variables may be discontinuous across a manifold of discontinuity for both players' strategies. This makes the synthesis of optimal strategies particularly difficult. Numerical examples are given.