不完备检测下视情维修的多级劣化系统性能评估

视情维修是改善多级劣化系统性能表现的重要措施,然而在实际中检测不完备问题会制约视情维修的有效开展,从而影响劣化系统性能评估结果。针对这一问题,将多级劣化系统检测维修马尔科夫链模型中的状态转移进行调整,建立其在不完备检测下进行视情维修的性能评估模型,给出系统性能参数的求解方法。实例验证表明:在实际工作中,虚警和漏检对于系统瞬态可用度的影响是随时间变化而不定的,但对于系统可靠度的影响则是确定的,即在任意时刻虚警提高系统可靠度,而漏检降低系统可靠度。     

Sequential and systematic sampling plans for the Markov‐dependent production process

Acceptance sampling plans are used to assess the quality of an ongoing production process, in addition to the lot acceptance. In this paper, we consider sampling inspection plans for monitoring the Markov‐dependent production process. We construct sequential plans that satisfy the usual probability requirements at acceptable quality level and rejectable quality level and, in addition, possess the minimum average sample number under semicurtailed inspection. As these plans result in large sample sizes, especially when the serial correlation is high, we suggest new plans called “systematic sampling plans.” The minimum average sample number systematic plans that satisfy the probability requirements are constructed. Our algorithm uses some simple recurrence relations to compute the required acceptance probabilities. The optimal systematic plans require much smaller sample sizes and acceptance numbers, compared to the sequential plans. However, they need larger production runs to make a decision. Tables for choosing appropriate sequential and systematic plans are provided. The problem of selecting the best systematic sampling plan is also addressed. The operating characteristic curves of some of the sequential and the systematic plans are compared, and are observed to be almost identical. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 451–467, 2001     

Asymptotically optimal component assembly plans in repairable systems and server allocation in parallel multiserver queues

T identical exponential lifetime components out of which G are initially functioning (and B are not) are to be allocated to N subsystems, which are connected either in parallel or in series. Subsystem i, i = 1,…, N, functions when at least K_i of its components function and the whole system is maintained by a single repairman. Component repair times are identical independent exponentials and repaired components are as good as new. The problem of the determination of the assembly plan that will maximize the system reliability at any (arbitrary) time instant t is solved when the component failure rate is sufficiently small. For the parallel configuration, the optimal assembly plan allocates as many components as possible to the subsystem with the smallest K_i and allocates functioning components to subsystems in increasing order of the K_i's. For the series configuration, the optimal assembly plan allocates both the surplus and the functioning components equally to all subsystems whenever possible, and when not possible it favors subsystems in decreasing order of the K_i's. The solution is interpreted in the context of the optimal allocation of processors and an initial number of jobs in a problem of routing time consuming jobs to parallel multiprocessor queues. © John Wiley & Sons, Inc. Naval Research Logistics 48: 732–746, 2001     

An optimal structured policy for maintenance of partially observable aircraft engine components

This paper considers the maintenance of aircraft engine components that are subject to stress. We model the deterioration process by means of the cumulative jump process representation of crack growth. However, because in many cases cracks are not easily observable, maintenance decisions must be made on the basis of other information. We incorporate stress information collected via sensors into the scheduling decision process by means of a partially observable Markov decision process model. Using this model, we demonstrate the optimality of structured maintenance policies, which support practical maintenance schedules. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 335–352, 1998     

Repairable consecutive‐k‐out‐of‐n: F system with Markov dependence

In this article, a model for a repairable consecutive‐k‐out‐of‐n: F system with Markov dependence is studied. A binary vector is used to represent the system state. The failure rate of a component in the system depends on the state of the preceding component. The failure risk of a system state is then introduced. On the basis of the failure risk, a priority repair rule is adopted. Then the transition density matrix can be determined, and the analysis of the system reliability can be conducted accordingly. One example each of a linear and a circular system is then studied in detail to explain the model and methodology developed in this paper. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 18–39, 2000     

专家系统优化排列准则及时间估计模型研究

军用仿真系统中 ,专家系统作为一个决策软件包 ,满足整个软件系统运行的性能需要 ,因此研究专家系统的推理时间是必要的。专家系统的推理时间与其推理模式、知识库结构等因素有关。针对知识库结构 ,利用时间齐次马尔可夫链为专家系统知识库进行建模 ,并给出了相应的时间估计模型及其排列准则 ,从而可以研究专家系统的实时性。     

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.     

基于Markov状态转移的动态可靠性分析

基于系统的马尔可夫性假设,对系统状态进行适当的离散化处理,利用状态转移方法来描述系统的动态随机过程.在求得状态转移矩阵后,再建立离散动态事件树,来求得系统故障概率.用此方法具体分析了水位调节系统.     

指标融合和隐马尔可夫模型的舰船装备技术状态评估

科学合理的技术状态评估技术是保障舰船安全性和任务完好性的有效途径之一,针对目前舰船装备技术状态评估缺乏动态性以及评估指标过多的问题,构建舰船装备技术状态多指标融合模型,结合技术状态评估指标融合模型和隐马尔可夫模型所具有双随机性和严谨数学推理能力的特点,建立基于指标融合模型和隐马尔可夫模型的舰船装备技术状态动态评估模型。最后通过案例分析验证了所提出的方法能够有效体现技术状态评估中的动态性,为舰船装备技术状态评估提供新的途径。     

战斗机突防效能模型研究

对战斗机作为突防机突防防守方远程拦截机、高射导弹、高炮阵地问题进行了研究.突防机突防远程拦截机运用齐次马尔科夫链模型,高射导弹防空区和高炮防空区均属于高射武器防空区,将两者作为一个统一的整体进行研究,根据突防飞机数的多少分两种情况分别进行了研究.仿真结果证明了所选用模型的正确性和所采用方法的实用性和有效性.