The dynamic and stochastic knapsack Problem with homogeneous‐sized items and postponement options

This article generalizes the dynamic and stochastic knapsack problem by allowing the decision‐maker to postpone the accept/reject decision for an item and maintain a queue of waiting items to be considered later. Postponed decisions are penalized with delay costs, while idle capacity incurs a holding cost. This generalization addresses applications where requests of scarce resources can be delayed, for example, dispatching in logistics and allocation of funding to investments. We model the problem as a Markov decision process and analyze it through dynamic programming. We show that the optimal policy with homogeneous‐sized items possesses a bithreshold structure, despite the high dimensionality of the decision space. Finally, the value (or price) of postponement is illustrated through numerical examples. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 267–292, 2015     

基于SF-REM的齿轮箱剩余寿命预测方法研究

剩余寿命预测是视情维修决策的重点和难点.针对工程实践中历史数据少、模型参数估计精度低的问题,建立一种基于随机滤波(SF)的齿轮箱剩余寿命预测模型.该方法采用递归期望最大化(REM)算法对模型参数进行递归更新,推导极大似然估计方法的参数递归更新过程,最后经实例验证模型的有效性和实用性.     

Model Versions and Fast Algorithms for Network Epidemiology

Network epidemiology has become a core framework for investigating the role of human contact patterns in the spreadingof infectious diseases. In network epidemiology, one represents the contact structure as a network of nodes（individuals） connected bylinks（sometimes as a temporal network where the links are not continuously active） and the disease as a compartmental model（whereindividuals are assigned states with respect to the disease and follow certain transition rules between the states）. In this paper, we discussfast algorithms for such simulations and also compare two commonly used versions,one where there is a constant recovery rate（the numberof individuals that stop being infectious per time is proportional to the number of such people）;the other where the duration of the diseaseis constant. The results show that, for most practical purposes, these versions are qualitatively the same.     

具有分布时滞的随机反应扩散细胞神经网络的几乎必然指数稳定性

研究一类具有分布时滞和反应扩散的随机细胞神经网络的稳定性。通过构造Lyapunov泛函,并利用It公式、半鞅收敛定理以及不等式技巧,得到了系统几乎必然指数稳定的充分条件。     

压制条件下声纳搜索效能分析

主被动声纳搜索时备次接续探测之间有检测概率的累积.在考虑连续探测的相关性且有水声干扰的情况下,建立了捷径曲线函数和有效搜索宽度计算模型.通过计算噪声干扰器压制前后有效搜索宽度的变化和噪声干扰器在不同位置有效搜索宽度的变化,建立了一种新的定量评估声纳作战效能的有效方法,并对压制条件下的声纳搜索效能进行了评价.计算实例与实...     

A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components

We give necessary and sufficient conditions based on signatures to obtain distribution‐free stochastic ordering properties for coherent systems with exchangeable components. Specifically, we consider the stochastic, the hazard (failure) rate, the reversed hazard rate, and the likelihood ratio orders. We apply these results to obtain stochastic ordering properties for all the coherent systems with five or less exchangeable components. Our results extend some preceding results. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

随机理论雷达探测地面目标模型

雷达对地面目标的搜索效能是直升机对地作战效能评估的基础,建立雷达对地面目标搜索的数学模型,并分析几个因素对发现目标概率的影响,以及提高目标发现概率的方法,进而提高直升机的作战效能.模型有效地提高了雷达探测地面目标效能评估的准确性,对于指挥决策部门和设计单位有一定的参考意义.     

基于结构随机跳变系统的制导误差预测

针对空中目标作大机动时导弹制导误差难以预测的缺点,将导弹和目标视为一个结构随机跳变系统,并将目标作大机动当作系统的外部扰动输入,建立了该系统的数学模型,应用结构随机跳变系统理论对脱靶量的数学期望和方差进行了计算。通过仿真表明,该方法可对大机动目标进行制导误差预测,还可为变系数导引律的设计提供依据。     

舰载红外搜索与跟踪系统的最新现状与发展趋势

详细介绍了国外舰载红外搜索与跟踪系统的研制与装备,包括各国典型系统的特点、研制历史、试验以及装舰服役现状等,提出了舰载红外搜索与跟踪系统的未来发展方向。     

对运动目标螺旋搜索误区分析

对运动目标搜索是军事系统工程的一个重要内容,其在很多领域具有广泛应用,如对潜艇搜索、对失事舰船飞机搜救、制导武器搜索捕捉目标等.用运动学和数学的有关知识分析了目标定速直航机动时的分布函数以及搜索者与其可相遇的条件,提出了对运动目标按螺旋线搜索的另一种证明方法,建立了直线搜索时目标可能位置点的数学模型,并以此为依据分析了对运动目标螺旋搜索模式的一个误区.