服务台可修的多水平优先权排队(二)

文献[1]讨论了服务台可修的多水平优先权排队的排队指标。本文讨论该系统的可靠性指标。利用文献[3]中的随机序,获得了这些可靠性指标的界值。     

一类两个相同部件并联的可修系统的稳定性

研究一类两个相同部件并联的可修系统．使用泛函分析方法，特别是Banach空间上的线性算子理论，证明了严格占优本征值的存在性，以及系统解的渐近稳定性，线性稳定性和指数稳定性．     

具有延误休假的一个基本可修系统的可靠性分析

本文讨论了由两个同型部件和一个修理工组成的可修系统。假定修理工空闲时进行延误休假。部件的修理时间和修理工的假期均服从一般分布，休假前的延误期为指数分布。我们求得了这个系统的可用度、可靠度和故障频度。作为特例，我们还讨论了修理工进行不延误休假的情况。     

GI／G／1可修排队系统的注记

在文献［１］的基础上，进一步分析了在服务台可修的ＧＩ／Ｇ／１排队系统中服务台的如下可靠性问题：１）在忙期内的失效次数；２）在时间（０，ｔ］内的平均失效次数的近似计算；３）在忙期内的失效时间和工作时间；４）在时间（０，ｔ］内平均失效时间的近似计算，并且得到一些新的可靠性参数的计算结果。     

一类单部件可修系统解的单调稳定性

用纯分析的方法给出了一类单部件可修系统动态非负解的存在唯一性和单调稳定性证明.     

A natural conjugate prior for the nonhomogeneous poisson process with an exponential intensity function

This article presents a natural conjugate prior for the nonhomogeneous Poisson process (NHPP) with an exponential intensity function, for modeling the failure rate of repairable systems. The behavior of the conjugate prior distribution with respect to its parameters is studied, and the use of this prior in Bayesian estimation is compared to two other estimation approaches (the use of independent prior distributions, and the bivariate normal distribution). The use of the conjugate prior proposed here facilitates Bayesian statistical analysis of aging. In particular, the proposed prior allows us to explicitly account for dependence between the initial failure rate and the aging rate. This is a significant improvement over the assumptions made in most prior work (either the assumption that the aging rate is known, or the assumption that the initial failure rate and the aging rate are independent). Monte Carlo simulation shows that Bayesian estimation using the proposed prior generally performs at least as well as Bayesian estimation using independent priors for the initial failure rate and the aging rate,except in the case where the prior distribution underestimates both the initial failure rate and the aging rate.     

周转件构成的可修复系统的可靠性分析

系统在运行期间因部件失效而发生故障,进行更换维修后,系统部件的使用时间分布发生变化,系统可靠性指标的值也随之变化,对此情况下系统可靠性分析方法进行了研究。将一定范围内同类部件的整体看作系统,并考察全部由周转件构成的系统,通过对各个时刻系统内部件的使用时间以及维修次数分布建立数学模型,得到了系统可靠度随系统运行时间的增加而减小,系统部件更换率随系统运行时间增加而增加的结论。并通过航空公司的实际数据对结果进行了验证。分析结果为备件采购计划、部件梯次使用计划和维修策略的制订具有重要意义。     

Variables acceptance reliability sampling plan for repairable items

Traditionally, acceptance reliability sampling plans have been developed for non-repairable items. However, the functions required for items become more and more complex and, accordingly, the items are composed of several components and tend to be repairable. In this paper, we consider variables acceptance reliability sampling plan for repairable items. We develop a variables acceptance sampling plan based on the failure and repair data observed during the testing period. It is shown that the developed sampling plan improves the reliability characteristic of the population and that the lifetimes of items before and after the reliability sampling test are stochastically ordered.     

A Study on Reliability for A Two-Item Cold Standby Markov Repairable System with Neglected Failures

This article studies reliability for a Markov repairable two-item cold standby system with neglected failures. In the system, if a failed time of the system is too short (less than a given critical value) to cause the system to fail, then the failed time may be omitted from the downtime record, i.e., the failure effect could be neglected. In ion-channel modeling, this situation is called the time interval omission problem. The availability indices and the mean downtime are presented as two measures of reliability for this repairable system. Some numerical examples are shown to illustrate the results obtained in this article.     

带有维修和损失的可修排队系统分析

研究在闲期中带有维修和损失的可修排队系统。假定服务台的寿命有负指数分布,修理时间和维修时间都有一般分布,使用一种新的分析法——分解法,结合更新过程理论,获得该系统的排队指标和服务台的可靠性指标。