共查询到17条相似文献,搜索用时 93 毫秒
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假定部件工作寿命,修理时间和修理工休假时间均服从一般分布,利用马尔可夫骨架过程理论,研究了修理工带休假的两同型部件冷贮备可修系统的可靠性。 相似文献
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为了解决由"修复非新"部件组成的具有休假的可修型系统,运用几何过程理论、补充变量法和拉普拉斯变换工具,研究了由两个不同型部件和一个修理工组成的可修型并联系统.假设两个部件的工作寿命和修理时间均服从不同的指数分布,修理工可休假,对部件1的修理是几何修理而对部件2的修理则是修复如新,得到了系统的可用度、可靠度和系统首次故障前平均时间等可靠性指标.成果具有一定的理论和实际意义. 相似文献
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讨论专职修理工多重休假,修理设备可发生失效且可更换的k/n(G)表决可修系统.当系统中没有故障部件时,专职修理工开始一次休假,在此期间,若有工作部件发生故障,则立即指派普通修理工修理故障部件,一直持续到系统中无故障部件或专职修理工休假回来.利用马尔可夫过程理论和矩阵解法,给出了系统瞬态和稳态下的可用度和故障频度、可靠度、系统首次故障前的平均时间、修理设备处于更换状态的概率等指标的表达式.在此基础上,基于不同的初始条件研究了相关指标随时间的变化情况.最后,特殊情形的讨论验证了所得结果的正确性. 相似文献
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主要以两不同型部件组成的并联可修系统为研究对象.在系统对失效相位存在记忆的基础上,考虑了修理工可单重休假且休假时间服从位相(PH)分布.每个工作部件均有可能因受到两种不同类型的故障而失效,且均"修复非新".在假定部件的工作时间,修理时间分别服从PH分布的几何过程和负指数分布的条件下,利用马尔可夫过程和矩阵分析的方法,对可修系统进行了可靠性分析,并给出了相应可靠性指标的数值算例. 相似文献
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修理工可多重休假的n部件串联可修系统可靠性分析 总被引:8,自引:0,他引:8
本文把修理工多重休假的概念引入n部件串联可修系统。假定休假时间和每个部件的修理时间为一般连续型随机变量,每个部件的失效分布为负指数分布。利用向量Markov过程方法,求出了该系统的可靠性指标。 相似文献
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本文采用补充变量法,讨论了修理工带有有限次休假的n部件串联可修系统的可靠性.得到了系统的可用度、失效频度、等待修理的概率和平均更新时间等主要可靠性指标,并给出了模型的特例及系统的效益分析. 相似文献
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针对修理工带有单重休假的单部件可修系统,提出了一种新的维修更换模型.假定系统是可修的,逐次故障后的维修时间构成随机递增的几何过程,系统工作时间构成随机递增的几何过程,在修理工休假时间为定长的情况下,分别选取系统的总工作时间T和故障维修次数N为更换策略,以长期运行单位时间内的期望效益为目标函数,通过更新过程和几何过程理论建立数学模型,导出了目标函数的解析表达式,通过最大化目标函数来获取系统最优的更换策略T*和N*.并在一定条件下给出了策略N比策略T优的充分条件.最后,通过数值例子验证了方法的有效性. 相似文献
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修理设备可更换且有修理延迟的N部件串联系统分析 总被引:3,自引:0,他引:3
假定部件的寿命服从指数分布,修理延迟时间和修理时间均服从任意分布,并且修理设备的寿命服从指数分布,其更换时间服从任意分布的情况下,利用马尔可夫更新过程理论和拉普拉斯变换工具,研究了修理有延迟且修理设备可更换的n部件串联可修系统,求得了系统的可用度和(0,t]时间内的平均故障次数.进一步,在定义修理设备“广义忙期”下,利用全概率分解,提出了一种新的分析技术,讨论了修理设备的可靠性指标,得到修理设备的一些重要可靠性结果. 相似文献
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Li YuanJian Xu 《Applied mathematics and computation》2011,217(10):4980-4989
This paper considers a repairable system with a repairman, who can take multiple vacations. If the system fails and the repairman is on vacation, it will wait for repair until the repairman is available. Assume that the system cannot be repaired “as good as new” after failures. Under these assumptions, using the geometric process and the supplementary variable technique, some important reliability indexes are derived, such as the system reliability, availability, rate of occurrence of failures, etc. According to the renewal reward theorem, the explicit expression of the expected profit per unit time is obtained. Finally, a numerical example is given to illustrate that there exists an optimal replacement policy N∗, which maximizes the value of the expected profit rate after a long time run. 相似文献
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考虑两同型部件组成的并联可修系统,每个部件有两类故障状态,部件故障后修理有延迟,且修理设备在修理故障部件的过程中也可能发生故障.假定部件的寿命和修理设备的寿命服从指数分布,部件发生故障后的修理延迟时间、修理时间和修理设备故障后的更换时间均服从一般分布,利用马尔可夫更新过程理论和拉普拉斯变换工具,求得了系统有关的可靠性指标. 相似文献
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Reliability analysis of two-unit cold standby repairable systems under Poisson shocks 总被引:1,自引:0,他引:1
This paper analyses the reliability of a cold standby system consisting of two repairable units, a switch and a repairman. At any time, one of the two units is operating while the other is on cold standby. The repairman may not always at the job site, or take vacation. We assume that shocks can attack the operating unit. The arrival times of the shocks follow a homogeneous Poisson process and their magnitude is a random variable following a known distribution. Time on repairing a failed unit and the length of repairman’s vacation follow general continuous probability distributions, respectively. The paper derives a number of reliability indices: system reliability, mean time to first failure, steady-state availability, and steady-state failure frequency. 相似文献
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This paper analyzes a k-out-of-n:G repairable system with one repairman who takes a single vacation, the duration of which follows a general distribution. The working time of each component is an exponentially distributed random variable and the repair time of each failed component is governed by an arbitrary distribution. Moreover, we assume that every component is “as good as new” after being repaired. Under these assumptions, several important reliability measures such as the availability, the rate of occurrence of failures, and the mean time to first failure of the system are derived by employing the supplementary variable technique and the Laplace transform. Meanwhile, their recursive expressions are obtained. Furthermore, through numerical examples, we study the influence of various parameters on the system reliability measures. Finally, the Monte Carlo simulation and two special cases of the system which are (n-1)-out-of-n:G repairable system and 1-out-of-n:G repairable system are presented to illustrate the correctness of the analytical results. 相似文献