摘要
本文对n中取连续n-1好系统在部件的寿命和维修时间均服从指数分布且故障部件不可以“修复如新”的假设下进行可靠性研究。采用补充变量法以及广义马尔可夫过程理论,得到了系统的瞬时可用度、可靠度等可靠性指标的Laplace变换表达式以及系统首次故障前的平均时间,并且以5中取连续4好系统为例说明了已得结论的实用价值。
consecutive-（n-1）-out-of-n（G） repairable system is studied. It is assnmed that the working time and the repair time of any component are both exponentially distributed and any component after repair is not ＂as good as new＂. By using the approach of supplementary variables and method of generalized Markov process, the Laplace transform expressions of availability and reliability of the system are derived and the MTTFF is abtained. At last, a linear consecutive-4-out-of-5（G） repairable system is taken as an example to illustrate the practical value of the gained conclusions.
出处
《工程数学学报》
CSCD
北大核心
2006年第1期85-91,共7页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(70471057)
陕西省教育厅专项基金(03JK065)
作者简介
王旭艳（1979年生），女，博士生，研究方向：可靠性理论与应用，信号处理．
