Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

新型冠状病毒肺炎疫情全球爆发期间民众群体心理研究【专题】

本文从认知过程、情绪过程和意志过程这三种心理过程的角度对2020年初席卷全球的新冠肺炎疫情期间的民众群体心理进行数据收集与初步分析,并在此基础上提出疫情期间民众群体心理的管理建议与对策,具体包括：引导对于新冠肺炎疫情的正确群体认知、调节新冠肺炎疫情引起的消极群体情绪和控制可能引发次生危机的社会意志与行为倾向三个方面。     

Experimental study on the detonation process of a pulse detonation engine with ionized seeds

An experimental platform of a pulse detonation engine (PDE) was established to study the effect of different K₂CO₃ ionized seed mass contents on the detonation process. The pressure and ion concentration were detected in the detonation process of the PDE with different contents of ionized seeds. The initiation process of the PDE at different ignition frequencies was studied. The results show that the gas conductivity in the detonation process increased by adding ionized seeds to the PDE tube, and the conductivity increased with the increase in ionized seed mass content. With the increase in ionized seed mass content, the range of the conductivity decreased. The PDE was successfully ignited and formed a stable detonation wave at ignition frequencies of 5 Hz and 10 Hz, and the peak pressure of the stable detonation with the ignition frequency of 5 Hz was 17% higher than that with an ignition frequency of 10 Hz. The detonation wave intensity was weakened and degenerated to a shock wave that propagated in the tube without the fuel filled at the ignition frequency of 20 Hz.     

Optimal allocation of minimal repairs in parallel and series systems

In reliability engineering, the concept of minimal repair describes that the repair brings the failed unit (eg, system or component) to the situation which is same as it was just before the failure. With the help of the well‐known Gamma‐Poisson relationship, this paper investigates optimal allocation strategies of minimal repairs for parallel and series systems through implementing stochastic comparisons of various allocation policies in terms of the hazard rate, the reversed hazard rate, and the likelihood ratio orderings. Numerical examples are presented to illustrate these findings as well. These results not only strengthen and generalize some known ones in the seminal work of Shaked and Shanthikumar, but also solve the open problems proposed by Chahkandi et al.'s study and Arriaza et al.'s study.     

适用于北斗混合星座的相对定位随机模型建模策略

为提高模糊度解算成功率和基线解精度,提出适用于北斗的相对定位随机模型建模策略,即混合随机建模策略。采用最小二乘方差分量估计方法对北斗单差观测量方差进行估计。对处于不同高度的三轨道卫星观测量方差分别建模:对地球静止轨道卫星观测量方差采用载噪比模型建模,对倾斜地球同步轨道卫星和中地球轨道卫星观测量方差均采用仰角模型建模。根据不同模型实时组建观测量的随机模型。试验结果表明:相比于采用传统简化模型和单一的仰角或载噪比模型,混合随机模型能更加真实地反映不同卫星观测量的随机噪声特性,模糊度解算成功率和相对定位精度均有提高,总体性能最优,因而能更好地适用于北斗系统。     

基于层次分析法的军校学员体能训练评估

针对目前军校学员军事体育训练评估难以量化考核的问题,提出了基于层次分析法的军校学员体能训练评估方法。首先,通过建立评估指标体系,构建评估指标判断矩阵;其次,进行归一化并计算指标组合权重,构建评估基本模型;最后,利用评估模型对学员体能训练进行综合评估。结果表明本文提出的方法能够对军校学员体能训练进行有效评估,相比于传统考核评估方法更能反映出学员体能的真实状况,突出学员体能特征,开展针对性训练。      

大型相控阵雷达系统安全性综合评价

针对大型相控阵雷达系统安全性因素多、评价困难的特点,分析并建立了大型相控阵雷达系统安全评价指标体系。提出了一种基于改进模糊层次分析法、熵权法和拉格朗日算法确定综合权重的方法,并建立了雷达系统安全性模糊综合评价模型。以某型大型相控阵雷达系统的安全性评价为例,运用所提方法确定该雷达系统的安全性指标综合权重,并进行安全性综合评价。将该方法与传统AHP评价法进行对比分析,验证了该方法的科学性和合理性。     

多轮次打击情况下的跑道失效率计算

对机场跑道进行多轮次打击时,每轮打击之后对跑道失效率的计算可掌握是否达到预期打击目的,为下一轮打击提供决策依据.以马尔科夫链为理论依据对多轮次打击情况下的跑道失效率进行计算,只需计算出跑道失效率的一步转移概率矩阵,即可求出任意多次打击后跑道的失效率,避免了采用常规方法时的多层迭代计算,降低了多次打击计算的难度.实例证明,该方法具有运算速度快、精度高的特点,可用于多轮次打击情况下的跑道失效率计算问题.     

论消防部队基本建设跟踪审计过程控制

针对基本建设审计特点,提出逐步从规范基本建设审核审批程序入手,进行基建建设前期、施工中及结算、决算跟踪审计,发挥审计监督的机制性作用,达到基本建设活动全过程运作规范、有序、监督有效。     

一种基于辅助交互的手抓握动作生成方法

针对沉浸式、非沉浸式和混合式虚拟维修系统中,维修动作交互过程繁琐、实现效果不佳的问题,提出一种高效的辅助交互方法,首先基于现有的维修动作规则和用户对维修任务的理解,建立了用户辅助信息接口和系统反馈辅助信息接口,前者由用户提供抓取目标、抓取手形和抓握点等辅助信息加速交互过程,系统通过后者反馈辅助信息帮助用户进一步决策,然后应用增广矩阵方法对经典逆向运动学算法进行扩展并生成具体的维修动作,最后应用该方法实现了装备车辆轮胎更换任务中维修动作的生成,维修动作交互过程的鲁棒性和效率得到显著提高。