修理工单重休假的Gnedenko系统

修理工单重休假的Gnedenko系统

曹静,岳德权

燕山大学理学院,河北秦皇岛 066004

收稿日期:2008-03-16 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 曹静

The Gnedenko system attended by a repairman with simple vacations

CAO Jing, YUE De-quan

College of Science, Yanshan University, Qinhuangdao 066004, Hebei， China

Received:2008-03-16 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: CAO Jing

摘要/Abstract

摘要： 研究了Gnedenko系统,即N个部件串联工作,一个部件温贮备的可修系统,其中修理工可进行单重休假。假设工作部件和贮备部件的寿命及修理工的休假时间均服从指数分布,故障部件的修理时间服从一般连续型分布。用补充变量法和广义马尔可夫过程的方法,用拉普拉斯变换工具,求得了系统的可靠度的拉普拉斯变换式、首次故障前平均时间、稳态可用度和稳态故障频度等重要可靠性指标,并通过与无休假系统的比较,进行了效益分析。

关键词: 补充变量法, 单重休假, 广义马尔可夫过程

Abstract: The Gnedenko system attended by a repairman with simple vacations was studied. It was assumed that the life of the operating unit and the standby, and the vacation time of the repairman were all exponential distributions, while the repair time of the unit had a general continuous distribution. By using the supplementary variables approach and generalized Markov process method, the Laplace transform of the reliability and the mean time to the first failure were attained. Meanwhile, the availability and the failure frequency of the system were obtained.

Key words: simple vacations, generalized Markov process, supplementary variables approach

中图分类号:

O213.2

曹静,岳德权 . 修理工单重休假的Gnedenko系统[J]. J4, 2008, 43(6): 77-82 .

CAO Jing,YUE De-quan . The Gnedenko system attended by a repairman with simple vacations[J]. J4, 2008, 43(6): 77-82 .

参考文献

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