基于区间数的DS证据合成方法研究

在DS证据理论的应用过程中,命题的基本概率赋值函数起到了关键的作用,传统DS证据理论中基本概率赋值函数的取值为[0,1]中的单点值.在很难准确将证据所支持命题的基本概率赋值表示为[0,1]之间的单点值时,可以用区间数形式来表示命题的基本概率赋值.在建立符合运算封闭性的区间数广义求和与广义乘积算子的基础上,定义了基于区间数的基本概率赋值函数、信任函数以及似然函数等重要概念,给出了证据合成规则,进而提出了基于区间数的DS证据合成方法.计算实例表明,与传统DS证据合成方法相比,基于区间数的DS证据合成方法具有更灵活的应用特性和更小的计算复杂度.     

Bayesian enhanced decision making for deteriorating repairable systems with preventive maintenance

Since a system and its components usually deteriorate with age, preventive maintenance (PM) is often performed to restore or keep the function of a system in a good state. Furthermore, PM is capable of improving the health condition of the system and thus prolongs its effective age. There has been a vast amount of research to find optimal PM policies for deteriorating repairable systems. However, such decisions involve numerous uncertainties and the analyses are typically difficult to perform because of the scarcity of data. It is therefore important to make use of all information in an efficient way. In this article, a Bayesian decision model is developed to determine the optimal number of PM actions for systems which are maintained according to a periodic PM policy. A non‐homogeneous Poisson process with a power law failure intensity is used to describe the deteriorating behavior of the repairable system. It is assumed that the status of the system after a PM is somewhere between as good as new for a perfect repair and as good as old for a minimal repair, and for failures between two preventive maintenances, the system undergoes minimal repairs. Finally, a numerical example is given and the results of the proposed approach are discussed after performing sensitivity analysis. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

基于区间数TOPSIS法优选空军战役作战计划

针对战役作战计划优选中的不确定性,运用区间分析和TOPSIS(Technique for Order Preference by Similarity to Ideal Solution)法探索空军战役作战计划优选问题.通过引进区间数乘法运算,将区间数多指标决策问题转变为指标为区间数的多指标决策问题,进而给出区间数多指标决策问题的TOPSIS法,对空军战役作战计划进行排序选优.与传统方法相比较,该方法较好地解决了评价指标为不确定值时的多指标决策问题.     

不确定信息下反导拦截效果评估

针对不确定信息下反导拦截效果评估过程中指标信息和权重信息都不确定,传统评估方法很难加以解决的问题,使用区间数和随机多属性可接受性分析(SMAA)相结合的方法对反导拦截效果进行了评估。首先,根据来袭弹道导弹目标的毁伤程度划分了拦截效果等级;然后,针对观测信息的不确定性,采用区间数和隶属函数对特征指标进行了表示;在此基础上,通过引入SMAA方法,计算和比较拦截效果为各拦截等级的可接受性指标和信任因子,对不确定信息下反导拦截效果进行了评估。实例计算结果表明所介绍的不确定信息下反导拦截效果评估方法是可行的。     

基于样块改进的图像修复算法

图像修复是指对图像破损区域进行填充或者将图像中多余物体进行移除。在Criminisi算法的基础上进行改进,在待修复块优先权的计算过程中,由于等照度线的曲率可以反映图像的局部特征,块与块之间的方差值可以反映图像的边缘信息,因此,将二者考虑进来,确保修复过程能够准确有序地进行。在寻找最佳匹配块时,将等照度线的曲率也作为一个因素增加进来,有效地提高了最佳匹配块搜索的精确性。经过仿真实验证明,改进后的算法不仅在PSNR值上比原算法有所提高,而且修复结果也比原算法更加准确可靠。     

Many‐server loss models with non‐poisson time‐varying arrivals

This article proposes an approximation for the blocking probability in a many‐server loss model with a non‐Poisson time‐varying arrival process and flexible staffing (number of servers) and shows that it can be used to set staffing levels to stabilize the time‐varying blocking probability at a target level. Because the blocking probabilities necessarily change dramatically after each staffing change, we randomize the time of each staffing change about the planned time. We apply simulation to show that (i) the blocking probabilities cannot be stabilized without some form of randomization, (ii) the new staffing algorithm with randomiation can stabilize blocking probabilities at target levels and (iii) the required staffing can be quite different when the Poisson assumption is dropped. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 177–202, 2017     

Statistical analysis for masked system life data from Marshall‐Olkin Weibull distribution under progressive hybrid censoring

This paper considers the statistical analysis of masked data in a series system, where the components are assumed to have Marshall‐Olkin Weibull distribution. Based on type‐I progressive hybrid censored and masked data, we derive the maximum likelihood estimates, approximate confidence intervals, and bootstrap confidence intervals of unknown parameters. As the maximum likelihood estimate does not exist for small sample size, Gibbs sampling is used to obtain the Bayesian estimates and Monte Carlo method is employed to construct the credible intervals based on Jefferys prior with partial information. Numerical simulations are performed to compare the performances of the proposed methods and one data set is analyzed.     

改进IAHP-CIM模型的雷达组网探测能力评估方法

针对雷达组网探测能力的评估问题,采用鱼骨图法对影响雷达组网探测能力的多种因素进行梳理,得到结构层次清晰的指标评价体系。采用改进的区间层次分析—控制区间和记忆模型对该指标体系进行评估,具体方法是:运用区间层次分析法构造区间判断矩阵;利用蛙跳算法求解区间判断矩阵中满足最小一致性的确定性矩阵;利用控制区间和记忆模型来确定各指标的风险概率,实现指标体系的评估。以具体的案例为对象进行仿真实验,结果表明,所提评估方法有效,评估结论相对客观、可信,对雷达组网探测能力评估具有一定参考价值,从而为雷达组网的优化部署奠定良好基础。     

反潜机采用阿基米德螺旋线搜潜问题研究

反潜机是重要的反潜力量,根据反潜机搜潜情况,建立了反潜飞机采用阿基米德螺旋线样式搜潜的数学模型和目标运动模型,讨论了螺旋线采用的三种轨迹间隔,通过仿真验证,确立了反潜机搜潜最优轨迹间隔,以达到提高发现目标潜艇概率、优化反潜效能的目的,为反潜飞机采用阿基米德巡逻线搜潜样式搜潜时提供战术参考。     

远程火炮密集度试验多组数据的处理方法

远程火炮密集度试验需要进行多次射击,同一试验条件下的多组数据通常认为来源于同一分布,但却未见于证明。利用统计检验方法,给出了对试验数据方差齐性及均值相等性的检验方法,并在多组试验数据一致性的基础上给出了试验数据均值、方差的无偏估计,同时在既定置信度下给出了其置信区间,为远程火炮精度检测提供了工具。