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。     

Optimal resource allocation and redistribution strategy in military conflicts with Lanchester square law attrition

We address the problem of optimal decision‐making in conflicts based on Lanchester square law attrition model where a defending force needs to be partitioned optimally, and allocated to two different attacking forces of differing strengths and capabilities. We consider a resource allocation scheme called the Time Zero Allocation with Redistribution (TZAR) strategy, where allocation is followed by redistribution of defending forces, on the occurrence of certain decisive events. Unlike previous work on Lanchester attrition model based tactical decision‐making, which propose time sequential tactics through an optimal control approach, the present article focuses on obtaining simpler resource allocation tactics based on a static optimization framework, and demonstrates that the results obtained are similar to those obtained by the more complex dynamic optimal control solution. Complete solution for this strategy is obtained for optimal partitioning of resources of the defending forces. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

On the nature and scope of defence economics

Defence economics uses the tools of economics to study the defence sector and its domestic and international implications. Simple models require careful application in defence economics, since indirect effects may have counterintuitive impacts. For example, while certain arms races can lead to the outbreak of war, others may have the counterintuitive effect of discouraging the outbreak of war owing to mutual deterrence.

The world is now multipolar rather than bipolar, analogous to an oligopoly situation. This multipolar world can be analyzed by a qualitative characteristic function, where the formation of a potential coalition allows study of the shift from conflict to cooperation in international relations. Some new issues to be considered in this framework include accidental nuclear war, potential arms races and conflicts in the third world, and the proliferation of chemical weapons and missiles.     

多阶段任务系统任务持续能力数学评价模型研究

分析了多阶段任务系统(PMS)及任务可靠度、可信度和任务效能等任务持续能力评价参数。结合实际装备系统大部分属于可用马尔可夫过程进行描述的可修复系统的特点,为简化模型复杂程度提出了一些合理的假设条件。针对两状态PMS,通过分析其状态转移关系,从阶段任务成功概率和阶段任务间转换概率的概念出发,分析给出其计算方法。结合对可信度和任务效能等参数的分析结果,建立其计算模型,从而建立了多阶段任务系统任务持续能力数学评价模型。最后结合常见的“靶场打靶”任务,通过对比仿真结果进行了模型的实例验证。     

Bayesian strategies for dynamic pricing in e‐commerce

E‐commerce platforms afford retailers unprecedented visibility into customer purchase behavior and provide an environment in which prices can be updated quickly and cheaply in response to changing market conditions. This study investigates dynamic pricing strategies for maximizing revenue in an Internet retail channel by actively learning customers' demand response to price. A general methodology is proposed for dynamically pricing information goods, as well as other nonperishable products for which inventory levels are not an essential consideration in pricing. A Bayesian model of demand uncertainty involving the Dirichlet distribution or a mixture of such distributions as a prior captures a wide range of beliefs about customer demand. We provide both analytic formulas and efficient approximation methods for updating these prior distributions after sales data have been observed. We then investigate several strategies for sequential pricing based on index functions that consider both the potential revenue and the information value of selecting prices. These strategies require a manageable amount of computation, are robust to many types of prior misspecification, and yield high revenues compared to static pricing and passive learning approaches. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Inventory control and periodic price discounting campaigns

This paper develops an inventory model that determines replenishment strategies for buyers facing situations in which sellers offer price‐discounting campaigns at random times as a way to drive sales or clear excess inventory. Specifically, the model deals with the inventory of a single item that is maintained to meet a constant demand over time. The item can be purchased at two different prices denoted high and low. We assume that the low price goes into effect at random points in time following an exponential distribution and lasts for a random length of time following another exponential distribution. We highlight a replenishment strategy that will lead to the lowest inventory holding and ordering costs possible. This strategy is to replenish inventory only when current levels are below a certain threshold when the low price is offered and the replenishment is to a higher order‐up‐to level than the one currently in use when inventory depletes to zero and the price is high. Our analysis provides new insight into the behavior of the optimal replenishment strategy in response to changes in the ratio of purchase prices together with changes in the ratio of the duration of a low‐price period to that of a high‐price period. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007.     

飞机系统安全性指标的Petri Net分配方法

为解决动态故障树抽象而不利于交流的问题,利用Petri Net直观、易用且适用范围广的优点,提出基于Petri Net的飞机系统安全性指标分配方法。通过整理安全性指标及其相关的可靠性指标,选取失效率作为安全性指标,对比动态故障树及Petri Net建模方法,选取后者建立静态逻辑变迁和动态逻辑变迁的Petri Net指标分配模型。在此基础上,提出考虑严酷等级的系统安全性指标分配方法,经过算例分析,构建Petri Net层次系统故障模型进行指标分配。结果表明,分配值均在相应安全性指标内,该方法能够克服动态故障树法不直观、等分配法分配过于粗糙等缺陷,为飞机安全性设计与评估提供参考。     

双转子活塞发动机差速驱动组件的动态静力学建模与分析*

针对双转子活塞发动机的工作特点,分析了其差速驱动组件的机构特性,定义了动力学参数,进而采用矢量力学方法对差速驱动组件的动态静力学进行数学建模。运用Matlab对所建理论模型进行数值计算,得出了主要部件的受力特征。为了验证所建数学模型的合理性,基于多体动力学仿真理论,在Recur Dyn环境下建立了双转子活塞发动机的虚拟样机模型,仿真结果与理论计算结果相比较,相应的约束反力的数值变化规律基本一致,都呈现4个周期的变化过程,冲击位置也基本相同,表明建立的动力学理论模型基本符合实际情况,是可信的,可以用作双转子活塞发动机改进设计的理论基础。     

基于模板的军事概念模型描述与设计

首先分析军事概念建模存在的问题,然后提出两个阶段、四个步骤的建模思路,在此基础上通过基于模板的概念模型描述方法,将概念建模区分为实体元模型、动作元模型、关系元模型、属性元模型和数据元模型,通过对上述元模型的建模完成对仿真对象的概念建模。     

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