A sequential partial information bomber-defender shooting problem

A bomber carrying homogenous weapons sequentially engages ground targets capable of retaliation. Upon reaching a target, the bomber may fire a weapon at it. If the target survives the direct fire, it can either return fire or choose to hold fire (play dead). If the former occurs, the bomber is immediately made aware that the target is alive. If no return fire is seen, the true status of the target is unknown to the bomber. After the current engagement, the bomber, if still alive, can either re-engage the same target or move on to the next target in the sequence. The bomber seeks to maximize the expected cumulative damage it can inflict on the targets. We solve the perfect and partial information problems, where a target always fires back and sometimes fires back respectively using stochastic dynamic programming. The perfect information scenario yields an appealing threshold based bombing policy. Indeed, the marginal future reward is the threshold at which the control policy switches and furthermore, the threshold is monotonic decreasing with the number of weapons left with the bomber and monotonic nondecreasing with the number of targets left in the mission. For the partial information scenario, we show via a counterexample that the marginal future reward is not the threshold at which the control switches. In light of the negative result, we provide an appealing threshold based heuristic instead. Finally, we address the partial information game, where the target can choose to fire back and establish the Nash equilibrium strategies for a representative two target scenario.     

FN-IOWA算子的模糊弹性决策作战效能评估

群决策中往往参与决策的单位或专家会来自不同的专业和部门,这些决策者具有不同的性质.为了处理不同性质决策者之间的模糊信息,引入模糊弹性决策的概念.传统作战效能评估往往是由单一性质的决策者进行,这样会失掉很多专业信息,也会使评估结果片面.基于FN-IOWA算子的模糊弹性决策方法能融合评估中的模糊信息,有效完善传统作战效能评估方法,使评估结果更合理.     

基于Markov决策支持系统的坦克排作战效能预测

分析了Markov模型的一般预测过程,建立了一种基于Markov决策支持系统的作战效能预测分析模型,根据坦克排在担负不同作战任务时的特点,给出了坦克排作战效能预测分析的应用实例,预测分析的结果表明,该模型能够对作战态势做以正确的预测,有利于指挥员更好地进行兵力部署,发挥坦克排作战的最佳效能.     

Simultaneous determination of production and maintenance schedules using in‐line equipment condition and yield information

In many manufacturing environments, equipment condition has a significant impact on product quality, or yield. This paper presents a semi‐Markov decision process model of a single‐stage production system with multiple products and multiple maintenance actions. The model simultaneously determines maintenance and production schedules, accounting for the fact that equipment condition affects the yield of each product differently. It extends earlier work by allowing the expected time between decision epochs to vary by both action and machine state, by allowing multiple maintenance actions, and by treating the outcome of maintenance as less than certain. Sufficient conditions are developed that ensure the monotonicity of both the optimal production and maintenance actions. While the maintenance conditions closely resemble previously studied conditions for this type of problem, the production conditions represent a significant departure from earlier results. The simultaneous solution method is compared to an approach commonly used in industry, where the maintenance and production problems are treated independently. Solving more than one thousand test problems confirms that the combination of both features of the model—accounting for product differences and solving the problems simultaneously—has a significant impact on performance. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

装备预防性维修的维修级别逻辑决策分析方法

针对预防性维修的维修级别没有规范、统一的分析与确定方法的问题,研究了预防性维修的维修级别逻辑决策分析方法。明确了预防性维修的维修级别决策分析的对象是预防性维修工作类型,预防性维修主要有定时维修和状态维修,定时维修分为定时拆修和定时报废2种维修工作类型,状态维修分为状态信息检测、状态识别、状态预测、维修决策、故障诊断和维修实施等维修工作类型。根据维修间隔期、维修能力评估、其它非经济性因素以及经济性分析,分别建立了定时维修和状态维修的维修级别逻辑决策模型。     

基于理想解法的空中加油机驻地分配选择

一体化联合作战条件下,跨战区、跨军兵种实施空中加油将更加频繁,空中加油机驻地分配选择对空中加油任务的实施有重要影响。分析了影响空中加油机驻地分配选择的主要因素,以此确定决策指标,这是一个多指标综合评价问题。基于理想解法的原理和方法,构建了空中加油机驻地分配选择决策的数学模型。通过示例分析表明,该方法计算简单,较好地解决了空中加油机驻地分配选择问题,并可在此基础上做进一步研究,为实际应用中解决类似问题提供了一种新思路。     

模糊Petri网在装备保障指挥决策中的应用研究

针对装备保障指挥决策的非结构化特点,结合模糊Petri网的基本理论,建立了一类装备保障指挥决策的模糊Petri网模型(ZYFPN).给出了模型中模糊推理过程的形式化推理算法,算法考虑了推理过程中的众多约束条件,包括命题在规则中的权重、变迁触发的闲值、规则的可信度以及多结论规则等.以装备保障配置地域转移决策为例,描述了从决策问题分析到ZYFPN模型建立,以及基于矩阵运算的决策推理过程的相关问题.应用这一模型,可以提高基于规则的装备保障指挥辅助决策系统的设计、分析和维护效率.     

灰色局势决策理论在炮兵火力计划优选中的运用

为了解决炮兵火力计划选择的随意性和盲目性,提出了以灰色理论为基础,综合考虑炮兵火力计划的性质和拟制原则的优选方法;深入研究了局势决策在计划优选中的应用;最后举例说明了灰色局势决策理论在计划优选中的应用,进一步证明了其科学性和创新性,为优选决策提供了一种定量和定性相结合的新方法。     

合成分队动态武器目标分配协同决策模型

针对合成分队地面作战特点,提出了一种动态武器目标分配的协同决策模型,该模型基于一种自适应决策中心的协同决策体系结构,以战场信息共享为核心,实现动态火力协同优化分配。提出了针对战场应急目标的一种快速火力分配方法,提高火力整体打击效率的火力适度分配优化方法,适应战场态势动态变化的anytime终止控制方法。仿真实例表明,该模型能够满足合成分队火力动态分配的需求,提高动态武器目标分配决策的合理性和科学性。     

复杂目标毁伤效果评估关键问题分析

复杂目标毁伤效果评估一直是毁伤效果评估中的重难点问题,作为作战指挥决策的重要依据,对其关键问题进行分析和研究具有重要现实意义。首先总结和梳理复杂目标毁伤效果评估的基本思路,在此基础上归纳出复杂目标毁伤效果评估的一般步骤,并构建毁伤效果评估的基本框架,明确其中的关键环节和问题,并基于现有复杂目标毁伤效果评估的方法和模型对其进行详细的论述和分析,最后指明未来发展的方向。