On parallel machine replacement problems with general replacement cost functions and stochastic deterioration

The parallel machine replacement problem consists of finding a minimum cost replacement policy for a finite population of economically interdependent machines. In this paper, we formulate a stochastic version of the problem and analyze the structure of optimal policies under general classes of replacement cost functions. We prove that for problems with arbitrary cost functions, there can be optimal policies where a machine is replaced only if all machines in worse states are replaced (Worse Cluster Replacement Rule). We then show that, for problems with replacement cost functions exhibiting nonincreasing marginal costs, there are optimal policies such that, in any stage, machines in the same state are either all kept or all replaced (No‐Splitting Rule). We also present an example that shows that economies of scale in replacement costs do not guarantee optimal policies that satisfy the No‐Splitting Rule. These results lead to the fundamental insight that replacement decisions are driven by marginal costs, and not by economies of scale as suggested in the literature. Finally, we describe how the optimal policy structure, i.e., the No‐Splitting and Worse Cluster Replacement Rules, can be used to reduce the computational effort required to obtain optimal replacement policies. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

防空兵群动态防空抗击效率评估模型研究

结合未来陆军机动作战实际,研究了集中射击指挥条件下,防空兵群动态防空抗击效率的评估方法。提出了目标可射击概率应依据火力单位射程选用不同模型评估的观点,探讨了火力单位转移、导弹(弹药)储备和群指挥所状态等因素对群抗击效率的影响及其评估模型。在此基础上,指出了所建模型的适用范围和需要进一步解决的问题。     

温度场对机枪动力特性的影响

现代机枪重量较轻,要达到理想的射击精度就必须保证良好的动力匹配关系。机枪在射击过程中,枪管温度的升高直接影响机枪的动力特性。对某型机枪射击过程中枪管温度场及其对机枪动力特性的影响进行了分析,结果表明,温度变化对机枪动力特性改变的影响较小。     

水下滑翔机建模与纵向运动控制

水下滑翔机是一种浮力驱动的新型水下航行器,其特殊的驱动方式和结构特点增加了建模和控制分析的复杂度。为获得准确有效的水下运动控制方法,通过滑翔机运动学和动力学分析,建立了较为完善的三维空间数学模型,并进行了合理的假设和简化,得到纵平面内小扰动线性化模型。在此基础上,运用了线性二次型最优控制理论设计了LQR调节器,分析系统对于控制指令的跟踪响应情况。最后针对滑翔机的纵平面运动进行了仿真分析,仿真结果显示,LQR调节器有很好的干扰抑制能力和指令跟踪性能,并准确地描述了纵平面内滑翔机的运动特性。     

模糊优选动态规划在稀缺军事资源配置中的应用

在对稀缺军事资源配置问题进行数学描述的基础上,建立起评价指标相对优属度计算模型,实现了局部优选。在此基础上,通过分配目标综合评价模型实现了对局部优选数据的综合处理,最后建立资源分配的动态规划模型实现了对方案的优选。最后通过实例演示了解决该类问题的具体方法和步骤,对部队建设具有一定的参考和应用价值。     

模糊离散动态贝叶斯网络的目标威胁等级评估

动态贝叶斯网络作为一种智能推理工具在处理不确定推理问题中显示出强大的生命力,但是存在难于处理连续变量的推理问题。将模糊理论与动态贝叶斯网络相结合,提出一种模糊分类的方法,将连续变量模糊分类为动态贝叶斯网络能够应用的证据信息用于推理,并建立目标威胁等级评估模型,应用直接推理算法对该网络进行推理。仿真结果表明,该分类方法与动态贝叶斯网络结合能够很好地处理连续变量推理的问题。     

Modeling the operation of multireservoir systems using decomposition and stochastic dynamic programming

Stochastic dynamic programming models are attractive for multireservoir control problems because they allow non‐linear features to be incorporated and changes in hydrological conditions to be modeled as Markov processes. However, with the exception of the simplest cases, these models are computationally intractable because of the high dimension of the state and action spaces involved. This paper proposes a new method of determining an operating policy for a multireservoir control problem that uses stochastic dynamic programming, but is practical for systems with many reservoirs. Decomposition is first used to reduce the problem to a number of independent subproblems. Each subproblem is formulated as a low‐dimensional stochastic dynamic program and solved to determine the operating policy for one of the reservoirs in the system. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

飞行计划管理中航迹关联算法

针对传统飞行计划管理中的缺限,基于MK-NN航迹关联算法思想,提出了一种利用方向因子、速度因子、偏航因子、时差因子和区域因子对综合航迹和计划航迹进行比较关联的方法.通过仿真,分析比较了该算法与其它算法的综合性能,验证了MK-NN算法在计划管理中的科学性和可行性.用改进的MK-NN算法为基本算法实现对飞行计划实施的动态监控,能够提高飞行计划管理的准确性和可靠性.     

动态贝叶斯网络的无人机炮火校射

动态贝叶斯网络(Dynamic Bayesian Networks-DBNs),是对具有随机过程性质的不确定性问题进行建模和处理的一个有力工具.提出将隐马尔可夫模型(Hidden Markov Models-HMMs)图形模式与贝叶斯网络结合起来构成DBN,将其用于无人机照相侦察情报的推理分析,决定炮火优先打击区域.首先建立动态贝叶斯网络的战场态势变化模型,而后应用HMM的推理算法获得当前隐含序列最优估计,且可预测出未来战场态势.最后应用模糊推理获得优先打击的区域号.仿真结果表明了模型的可行性.该方法有效解决了贝叶斯网络对于瞬间变化战场态势推理的不足的缺陷,为炮兵指挥员更好地运用火力,分出主次奠定了基础.     

利用动态综合作战能力指数筹划海战兵力需求

针对目前海军作战兵力需求问题,建立了海军作战的物理模型,并提出了用动态综合作战能力指数筹划海战兵力需求的数学模型和算法,采用战例统计法和专家打分法计算出战斗力系数.并且以航空兵空中争夺为例进行了因素分析、参数选取、效能计算并得出了明确结论.计算结果表明,采用动态综合作战能力指数作为海战兵力需求指标是可行的;信息作战能力在现代海战中具有极其重要的作用.