Applying Lanchester's linear law to model the Ardennes campaign

In modern warfare, many believe the decisive factor in winning a battle is seizing the right moment to shift from defense to attack, or vice versa. This paper attempts to bring that perspective to Lanchester's differential equations of warfare, and continues the application of Lanchester's linear law to the analysis of the World War II battle of Ardennes, as reported in earlier issues of Naval Research Logistics by Bracken and by Fricker. A new variable, shift time, accounting for the timing of the shift between defense and attack is explicitly included in our version of the model, and it helps obtain improved goodness of fit to historical data. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48:653–661, 2001     

Operating Costs of Aging Air Force Aircraft: Adjusting for Aggregate Budget Effects

The rate at which operating costs grow as aircraft age is important for setting operating budgets and for deciding when to replace aging systems. While studies using data from the 1990's typically found 1–3 percent real rates of growth in operating costs as aircraft age, studies using data from the 2000's found greater rates, for example in the 4–6 percent range. Growth in the total U.S. Air Force budget during the 2000s appears to explain much of the higher estimated annual growth rates in operating costs per flying hour beyond the growth rate intrinsic to the aging of the fleet.     

基于概率分析法的无人攻击机作战效能分析模型研究

未来防空战场上无人攻击机已成为一种重要的空中威胁。无人攻击机作战过程可分为飞行、突防、攻击三个阶段,运用概率分析方法分别建立了各阶段的数学模型,给出了其作战效能表达式,为进一步进行无人攻击机作战效能分析提供了模型基础。     

When is model complexity too much? Illustrating the benefits of simple models with Hughes' salvo equations

The simulations that many defense analysts rely upon in their studies continue to grow in size and complexity. This paper contrasts the guidance that the authors have received—from some of the giants of military operations research—with the current practice. In particular, the analytic utility of Hughes' simple salvo equations is compared with that of the complex Joint Warfighting System (JWARS), with respect to JWARS' key performance parameters. The comparison suggests that a family of analytic tools supports the best analyses. It follows that smaller, more agile, and transparent models, such as Hughes' salvo equations, are underutilized in defense analyses. We believe that these models should receive more attention, use, and funding. To illustrate this point, this paper uses two very simple models (by modern standards) to rapidly generate insights on the value of information relative to force strength. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

Competition under time‐varying demands and dynamic lot sizing costs

We develop a competitive pricing model which combines the complexity of time‐varying demand and cost functions and that of scale economies arising from dynamic lot sizing costs. Each firm can replenish inventory in each of the T periods into which the planning horizon is partitioned. Fixed as well as variable procurement costs are incurred for each procurement order, along with inventory carrying costs. Each firm adopts, at the beginning of the planning horizon, a (single) price to be employed throughout the horizon. On the basis of each period's system of demand equations, these prices determine a time series of demands for each firm, which needs to service them with an optimal corresponding dynamic lot sizing plan. We establish the existence of a price equilibrium and associated optimal dynamic lotsizing plans, under mild conditions. We also design efficient procedures to compute the equilibrium prices and dynamic lotsizing plans.© 2008 Wiley Periodicals, Inc. Naval Research Logistics 2009     

陆基导弹武器系统生存能力研究

导弹武器系统的生存能力是一个关键的战技指标.国内外对导弹武器系统生存能力的分析评估十分重视,已开展了许多研究工作.介绍了研究陆基导弹武器系统生存能力的重要性,对其概念、定性评估模型、解析评估模型、仿真评估模型和提高生存能力的途径等几方面的研究进行了综述和分析,并就相关问题提出了一些看法.     

陆军战斗决心方案评估方法研究

战斗决心方案评估是陆军指挥员及指挥机关组织战斗过程中的一项重要工作。研究评估方法为陆军部队行动选择战斗决心方案提供依据。对战斗决心方案的评估,根据决心方案的战术手段、作战目标选择、战斗部署等三项主要内容,建立评估指标体系和评估数学模型,得出综合评估结果。该量化分析的评估方法提高了决策的精确性。     

航空随队支援干扰掩护区仿真建模研究

干扰暴露区及干扰扇面等传统评估指标对静态干扰部署可以进行有效评估分析,对机动干扰掩护难以进行准确描述分析。为有效评估电子对抗航空兵随队支援干扰能力,以及准确进行航空兵突防编队配置及干扰力量需求分析,引入了干扰掩护区的概念,并建立相关模型进行仿真计算,得出3条电子对抗随队支援航空兵突防的运用启示。     

高功率微波弹的杀伤效果分析与仿真

根据高功率微波弹微波脉冲的攻击入射角,给出了高功率微波弹杀伤区域模型,结合高功率微波损坏和干扰电子元器件的能量阈值,提出了高功率微波弹对目标的失效区、干扰区及安全区的概念,并建立相应的数学模型进行了仿真分析,为高功率微波弹攻击参数的设定及实际的作战运用提供了理论依据。     

考虑节点自修复能力的C2关系网络毁伤特性研究

针对指挥控制关系网络受到攻击时节点及网络毁伤程度的量化评价问题,首先形式化定义了攻击强度和节点自修复能力函数,在此基础上,分别给出了网络中节点无自修复能力和自修复能力随时间变化时的节点毁伤模型。最后通过仿真计算,得到了节点的失效过程描述以及随机攻击和选择性攻击两种不同攻击目标选择方式下网络效率随攻击时间的变化关系。