多重延误休假的单部件可修系统——一些新的可靠性指标  

A one-unit repairable system with multiple delay vacations:Some new reliability indices

作　　者：刘仁彬[1] 刘再明[2] 吴永[1] 

机构地区：[1]重庆理工大学数学与统计学院,重庆400054 [2]中南大学数学科学与计算技术学院,湖南长沙410075

出　　处：《系统工程学报》2011年第4期573-578,共6页Journal of Systems Engineering

基　　金：重庆理工大学青年基金资助项目(2010ZQ14));国家自然科学基金资助项目(10971230)

摘　　要：根据系统状态概率的拉普拉斯变换式,讨论修理设备可更换且修理工多重延误休假的单部件可修系统的可靠性.通过系统分析和比较,获得了系统和修理设备的一些新的可靠性指标:(1)系统等待修理的概率、更新频度和平均更新时间;(2)修理设备的广义忙期长度;(3)修理设备在广义忙期内的更换时间、更换次数等.分析了多重延误休假和修理设备更换对系统可靠性的影响并给出了特例.In terms of the Laplace transform expressions of the system state probability this paper discusses the reliability for a one-unit repairable system with a replaceable repair facility and multiple delay vacations of a repairman. With the help of system analysis and comparisons some new reliability indices for the system and repair facility are derived as follows： （1） the probability that the system is waiting for repairing, renewal frequency and mean renewal time of the system, （2） generalized busy period length of the repair facility, （3） mean replacement time and mean replacement number of the repair facility within its generalized busy period, etc. The effects of multiple delay vacations and the facility＇s replacement on the system reliability are analyzed and a special case is given.

关 键 词：修理设备 多重延误休假 更新时间 广义忙期 更换时间 

分 类 号：O213.2[理学—概率论与数理统计]