Life distribution analysis based on Lévy subordinators for degradation with random jumps

For a component or a system subject to stochastic degradation with sporadic jumps that occur at random times and have random sizes, we propose to model the cumulative degradation with random jumps using a single stochastic process based on the characteristics of Lévy subordinators, the class of nondecreasing Lévy processes. Based on the inverse Fourier transform, we derive a new closed‐form reliability function and probability density function for lifetime, represented by Lévy measures. The reliability function derived using the traditional convolution approach for common stochastic models such as gamma degradation process with random jumps, is revealed to be a special case of our general model. Numerical experiments are used to demonstrate that our model performs well for different applications, when compared with the traditional convolution method. More importantly, it is a general and useful tool for life distribution analysis of stochastic degradation with random jumps in multidimensional cases. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 483–492, 2015     

序降应力加速寿命试验(下)——优化设计篇

如何设计试验方案使试验评估结果更准确、试验代价更小,是序降应力加速寿命试验应用中面临的一个重要问题。以试验评估精度和试验代价共同需求为背景,建立一类新的基于加权系数的优化目标函数。为解决仿真优化设计过程中的计算量问题,在深入分析目标函数性质基础上,提出一种新的优化设计法——正交搜索法。与优化设计过程的全局搜索法不同,该方法能够逐次缩小目标函数值,快速逼近最优试验方案。最后通过仿真算例验证了新方法的正确性和高效性。     

大学自习教室优化设置研究

针对目前大学自习教室资源浪费普遍存在的现象,将学生上自习与否视为独立同分布随机变量,从自习教室的管理与维护成本、电费成本以及学生的满意度3个方面出发,建立了双目标随机规划模型,并在模型基础上提出了大学自习教室设置的一般方法。通过实例分析,对模型的正确性和有效性进行了论证。结果表明:在各种情况下,该模型都能很好地解决自习教室设置这一问题,并且能在学生满意度较高的条件下,节约能源13%以上。该模型可以有效地对自习教室进行优化设置,不仅提高了资源利用水平,而且节约了能源。     

Two novel critical shock models based on Markov renewal processes

In this paper, we investigate systems subject to random shocks that are classified into critical and noncritical categories, and develop two novel critical shock models. Classical extreme shock models and run shock models are special cases of our developed models. The system fails when the total number of critical shocks reaches a predetermined threshold, or when the system stays in an environment that induces critical shocks for a preset threshold time, corresponding to failure mechanisms of the developed two critical shock models respectively. Markov renewal processes are employed to capture the magnitude and interarrival time dependency of environment-induced shocks. Explicit formulas for systems under the two critical shock models are derived, including the reliability function, the mean time to failure and so on. Furthermore, the two critical shock models are extended to the random threshold case and the integrated case where formulas of the reliability indexes of the systems are provided. Finally, a case study of a lithium-ion battery system is conducted to illustrate the proposed models and the obtained results.     

无人机飞行训练资源配置效率的AHP-Arena综合评价方法

为降低传统层次分析法(analytic hierarchy process,AHP)赋权过程主观片面性影响,提出了一种综合AHP与Arena仿真建模技术的无人机训练资源配置效率评价方法。基于飞行训练流程分析,确定了训练资源配置效率影响因素和效率评价指标,建立了层次型综合评价体系,概括了AHP-Arena综合评价步骤。利用Arena建模软件构建训练流程动态仿真系统并验证有效性,采用单变量数值仿真法、均方差决策法完成了影响因素客观赋权,通过线性加权综合法得出综合评价系数,实现资源配置效率评价与方案优选。实例应用说明了该方法的有效性,同时,该方法可推广至其他类似的训练过程中,亦可为其他多因素、多指标评价决策过程提供借鉴。     

一种基于最小生成树的无线多跳网络信道分配算法

为提高无线多跳网络的吞吐量和传输可靠性,提出一种信道分配算法。该算法优先考虑最小生成树上的可用信道,为每个节点分配信道资源;然后考虑利用生成树外其他可用链路,为节点提供信道资源,以提高吞吐量。算法通过考虑每个用户的通信需求,可以充分利用空闲信道资源。仿真结果显示,相比于不考虑最小生成树外链路时,有效地提高了网络整体吞吐量。     

Budget allocation under uncertainty and the costs of war and insecurity

This study presents a framework and models for the analysis of government budget allocation into defense and civilian expenditures in situations of uncertainty about the incidence of war. The models display the intricate relationships between security levels, subjective probabilities of the occurrence of war, and potential war damages. We show that poor countries tend to perceive greater probabilities of war than their richer rivals, and that the psychological burden of insecurity is larger when the country’s wealth is larger and when its preference for security is higher. We apply our models to the Israeli–Syrian arms race and show that the higher rate of growth of Israel’s gross domestic product relative to that of Syria is expected to lead to an increase in Syria’s perception of the likelihood of war and to a decrease in Israel’s perception of such a likelihood. We also show that if Syria’s regime becomes ideologically more extreme, the monetary cost of maintaining Israel’s security at the level that it enjoyed prior to the change will be very high, whereas the monetary cost of maintaining Israel’s welfare will be moderate.     

基于混沌pso算法的实时动态目标分配

任务分配是多导弹协同攻击目标的重要前提,在充分考虑满足复杂战场环境各种约束的条件下,提出了基于混沌粒子群算法的实时动态算法,使得算法在求解WTA问题时具有处理意外目标和任意时刻响应当前战场状态的实时动态特性。并为了解决战场环境中各不确定性因子对新加入目标优先级的影响,提出基于三元区间数表示关联熵的复合物元目标排序方法。     

基于故障率和设计特性动态加权的维修性分配法

针对国军标中"按故障率和设计特性的维修性分配方法",当可更换单元故障率相差较大时,分配结果与实际明显不符的问题,采用动态加权模型,对国军标的分配方法进行了改进,提出了"基于故障率和设计特性动态加权的维修性分配法",弥补了国军标分配方法的不足。通过理论分析、论证、算例比较和维修性试验验证,证明该方法合理可行。     

基于研制试验数据的可靠性综合评估方法

针对产品在研制阶段的试验项目多、时间短、样本少等特点,在可靠性增长Duane模型的基础上,提出一种基于研制阶段变母体变环境试验数据的可靠性综合评估方法与模型。考虑不同试验应力环境对产品的影响,引入环境折合系数,根据相似产品试验数据,采用综合考虑了增长趋势检验约束和增长模型检验约束的寻优方法求解环境折合系数,利用折合后的数据进行可靠综合评估。通过实例证明了该方法的工程实用性。