单重休假且有优先修理权的三部件系统  

Reliability of repairable three-unit system with single vacation and priority

作　　者：陈燕[1] 朱翼隽[1] 陈佩树[2] 

机构地区：[1]江苏大学理学院,江苏镇江212013 [2]巢湖学院数学系,安徽巢湖238000

出　　处：《江苏大学学报（自然科学版）》2014年第6期738-744,共7页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70571030);江苏大学科研启动基金资助项目(04JDG032);安徽省自然科学基金资助项目(KJ2013B162)

摘　　要：研究了修理工带单重休假且部件有抢占优先修理权的3个不同部件的串并联可修系统,其中假定系统有一定关闭规则,系统只有1个修理工,修理工的休假规则为单重空竭休假;3个部件均可修复如新,且部件1对其他2个部件有抢占优先修理权,而其他2个部件先坏先修,且打断的修理时间可以累积计算;运用补充变量的方法,在部件1寿命分布为可变指数分布,其他部件寿命分布为指数分布,维修分布为一般连续型分布,休假时间为一般连续型分布的假定下,求得系统的瞬态和稳态的可用度与可靠性指标,并给出1个特例.The repairable three-unit system with single vacation and preemptive priority was investigated.Assuming that the system has a certain closing down rule,there is only one mechanic,and parts can be repaired as good as new.Part 1 has the preemptive priority right to be repaired,and other parts are repaired based on the rule of bad first repair.The lifetimes of the three units show exponential distribution,and part 1 has variable lifetimes.The repairing time is general continuous distribution,and the availability characteristics and the reliability of the system are obtained by the method of supplement variables.A special case was also provided.

关 键 词：可修系统 单重休假 优先权 可用度 可靠度 

分 类 号：O213.2[理学—概率论与数理统计]