假设检验在军事工程应用中的若干问题

对假设检验这一统计学工具在军事工程应用中值得注意的若干问题进行了探讨,包括假设的设置、检验门限的设置和统计量的构造等,这些问题在理论上有一些一般的指导,但在实际工程应用中,需要根据具体问题进行设计,这中间涉及一些技巧和经验,也容易出现一些常被忽视的问题。指出了这些问题,并给出了在实际工程中应用好假设检验的一些建议。     

利用验前信息的一种序贯检验方法——序贯验后加权检验方法

序贯验后加权检验方法是Bayes 统计观点在假设检验中的运用。本文提出了该方法的一般理论,给出了当总体的分布参数具有验前信息时的序贯检验方法。文中确定了决策区的划分,同时讨论了序贯截尾方案,给出了检验中可能犯两类错误的概率的上界,并将一般理论应用于产品的可靠性检验和再入飞行器随机落点的精度鉴定。由于运用了验前信息,因此能有效地在少量试验之下进行统计假设检验。本文所提供的方法对于昂贵产品试验结果的统计评定具有普遍意义。     

应用径向基代理模型实现序列自适应再采样优化策略

针对径向基插值代理模型样本点预测误差为零时无法获得误差函数进行序列再采样优化的问题,将样本点分布约束引入序列再采样过程,利用潜在最优解加速收敛性,提出一种适用于径向基插值代理模型序列优化的再采样策略,该策略兼顾仿真模型的输出响应特性与样本点的空间分布特性。仿真结果表明,使用该再采样策略后,算法寻优效率和精度均优于传统基于代理模型的优化方法,在对最优解进行有效预测的同时,能显著减少原始模型计算次数。     

异步雷达组网协同跟踪动态传感器分配算法

针对异步雷达组网下的协同跟踪问题提出了一种基于异步顺序融合的动态传感器分配算法。该算法对异步雷达的量测值按采样时刻顺序滤波,根据滤波协方差和目标期望协方差的接近程度动态选择下一时刻跟踪的最优传感器集合。仿真分析表明该算法和基于伪量测的异步雷达组网协同跟踪传感器分配算法相比具有较少的计算量和较高的目标跟踪精度。     

作战系统的序参量及其演化方程

"新三论"(包括耗散结构论、协同学和突变论)作为一种新的世界观,给研究作战系统这个复杂的非线性系统提供了新的视角。运用"新三论"的思想和方法指出作战系统的序参量,建立序参量方程,分析序参量演化稳定性与途径,得出一些有价值的结论,对于探索作战系统发展演变的规律具有重要意义。     

Efficient sequential decision‐making algorithms for container inspection operations

Following work of Stroud and Saeger (Proceedings of ISI, Springer Verlag, New York, 2006) and Anand et al. (Proceedings of Computer, Communication and Control Technologies, 2003), we formulate a port of entry inspection sequencing task as a problem of finding an optimal binary decision tree for an appropriate Boolean decision function. We report on new algorithms for finding such optimal trees that are more efficient computationally than those presented by Stroud and Saeger and Anand et al. We achieve these efficiencies through a combination of specific numerical methods for finding optimal thresholds for sensor functions and two novel binary decision tree search algorithms that operate on a space of potentially acceptable binary decision trees. The improvements enable us to analyze substantially larger applications than was previously possible. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Allocating capacity in parallel queues to improve their resilience to deliberate attack

We develop models that lend insight into how to design systems that enjoy economies of scale in their operating costs, when those systems will subsequently face disruptions from accidents, acts of nature, or an intentional attack from a well‐informed attacker. The systems are modeled as parallel M/M/1 queues, and the key question is how to allocate service capacity among the queues to make the system resilient to worst‐case disruptions. We formulate this problem as a three‐level sequential game of perfect information between a defender and a hypothetical attacker. The optimal allocation of service capacity to queues depends on the type of attack one is facing. We distinguish between deterministic incremental attacks, where some, but not all, of the capacity of each attacked queue is knocked out, and zero‐one random‐outcome (ZORO) attacks, where the outcome is random and either all capacity at an attacked queue is knocked out or none is. There are differences in the way one should design systems in the face of incremental or ZORO attacks. For incremental attacks it is best to concentrate capacity. For ZORO attacks the optimal allocation is more complex, typically, but not always, involving spreading the service capacity out somewhat among the servers. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Capacity allocation with traditional and Internet channels

In this paper we study a capacity allocation problem for two firms, each of which has a local store and an online store. Customers may shift among the stores upon encountering a stockout. One question facing each firm is how to allocate its finite capacity (i.e., inventory) between its local and online stores. One firm's allocation affects the decision of the rival, thereby creating a strategic interaction. We consider two scenarios of a single‐product single‐period model and derive corresponding existence and stability conditions for a Nash equilibrium. We then conduct sensitivity analysis of the equilibrium solution with respect to price and cost parameters. We also prove the existence of a Nash equilibrium for a generalized model in which each firm has multiple local stores and a single online store. Finally, we extend the results to a multi‐period model in which each firm decides its total capacity and allocates this capacity between its local and online stores. A myopic solution is derived and shown to be a Nash equilibrium solution of a corresponding “sequential game.” © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

落点散布鉴定中Bayes序贯截尾方法的运用

本文研究再入飞行器落点散布的鉴定方法。构造了 Ｂａｙｅｓ 序贯截尾方案；分析了可能冒的风险，给出了计算方法； 对于 Ｂａｙｅｓ 方法运用中的关键问题——验前信息的运用及验前概率的计算， 作了较详细的论述。文中提出的方法， 适用于小子样场合下的试验鉴定问题。     

序列近似优化方法

随着工程优化中仿真模型精度和计算时间的不断提高,常规的智能优化方法难以在可接受的计算代价中得到最优解。序列近似优化方法通过将近似模型技术引入优化过程,并采用不断更新采样点的方法来指导寻优,在基于计算耗时模型的优化中得到了越来越广泛的应用。通过论述序列近似优化方法的若干关键技术及其发展现状,可有效指导其在工程优化中的应用,并给出了序列近似优化方法可能的改进方法及发展趋势。