系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2013年
8期
2021~2026
,共null页
可靠度 止步 中途退出 温贮备 N-策略
可靠度 止步 中途退齣 溫貯備 N-策略
가고도 지보 중도퇴출 온저비 N-책략
reliability; balking; reneging; warm standbys; N-policy
文章研究了带有多个温贮备部件的机器维修问题，系统中有R个修理工，修理工进行Ⅳ一策略休假．同时还考虑了故障部件止步和中途退出的现象．文中利用Markov过程理论建立了系统状态概率满足的微分差分方程组，利用矩阵理论和Laplace变换反演的方法求解出了系统故障状态概率的精确表达式，得到了系统可靠度及首次故障前的平均时间的精确表达式，并给出了数值结果．
文章研究瞭帶有多箇溫貯備部件的機器維脩問題，繫統中有R箇脩理工，脩理工進行Ⅳ一策略休假．同時還攷慮瞭故障部件止步和中途退齣的現象．文中利用Markov過程理論建立瞭繫統狀態概率滿足的微分差分方程組，利用矩陣理論和Laplace變換反縯的方法求解齣瞭繫統故障狀態概率的精確錶達式，得到瞭繫統可靠度及首次故障前的平均時間的精確錶達式，併給齣瞭數值結果．
문장연구료대유다개온저비부건적궤기유수문제，계통중유R개수리공，수리공진행Ⅳ일책략휴가．동시환고필료고장부건지보화중도퇴출적현상．문중이용Markov과정이론건립료계통상태개솔만족적미분차분방정조，이용구진이론화Laplace변환반연적방법구해출료계통고장상태개솔적정학표체식，득도료계통가고도급수차고장전적평균시간적정학표체식，병급출료수치결과．
In this paper, a machine repair system with warm standbys was studied. There were R repairmen under N-policy vacations in the system. Balking and reneging of fault components was also considered. Differential-difference equations of state probabilities are obtained by using Markov process theory, and the exact expression of failure state probability is derived by using matrix theory and the inverse of Laplace transform. Then reliability and the mean time to the first failure of the system are presented. Finally, numerical results are presented.
