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中文摘要：
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。
英文摘要：
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.
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