具有修理工休假的冷备退化可修系统的研究.pdf

25 3 V o.l 25 N o. 3 20 10 6 JOURNAL OF SYSTEM S ENG IN EER ING Jun. 2010 梁小林, 莫兰英, 唐小伟 (, 4 10076 : 研究了修理工带有单重休假的两不同型部件冷储备可修退化系统. 针对在实 中系统往往随时间进程 寿命越来越短且修理时间越来越长的情况, 假定部件相继寿命及相继修理时间均形成几何过程, 修理工休假 时间服从指数分布且修复非新, 利用几何过程补充变量方法及拉普拉斯变换, 得到了系统的可靠度可用 度及瞬时故障频度等可靠性指标, 推广了已有文献的结果. : ; ; ; ; ; : O 211. 6 : A : 1000 - 578 1( 2010 0 3- 0426- 07 Study on a cold standby repairable deteriorating system w ith repairm an vacation L IANG X iao-lin, M O Lan-ying, ANG X iao-w ei ( Schoo l of M athem atics Com put ing Sc iences, Changsha U niversity o f Science T echnology, Changsha 410076, Ch ina A bstract: T his paper studies a two-dissmi ilar-un it co ld standby repa irable deteriorating system w ith sing le repa irm an vacat ion. In practice, the lifetmi e o f the system becom es m ore and m ore short and the repair tmi e becom esm ore and m ore long w ith age and u sage. Fo r th is problem, assum ing that the com ponents consecutive lifetmi es and the com ponents consecut ive repa ir t mi es form geom et- rica l process, vacation tmi es o f the repa irm an obeyexponentia l d istribution, and each failed com po- nent is not as good as new after repa ir. By u sing the geom etric process, the m ethod of supplem en- tary variable and L aplace transform, som e m a in reliability indices o f the system are obta ined that contain the reliability, the ava ilability and the asym ptotic failure freque