修理设备可更换和修理延迟的两类故障状态并联可修系统  

Two Types of Failure Units Paralleled Repairable System with a Replaceable Facility and Delay Repair

作　　者：姜颖[1,2] 唐应辉[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066 [2]西南科技大学理学院,四川绵阳621010

出　　处：《数学的实践与认识》2014年第7期174-186,共13页Mathematics in Practice and Theory

基　　金：国家自然科学基金和青年基金(71171138;71301111);四川师范大学研究生优秀学位论文培育基金(36)

摘　　要：考虑两同型部件组成的并联可修系统,每个部件有两类故障状态,部件故障后修理有延迟,且修理设备在修理故障部件的过程中也可能发生故障.假定部件的寿命和修理设备的寿命服从指数分布,部件发生故障后的修理延迟时间、修理时间和修理设备故障后的更换时间均服从一般分布,利用马尔可夫更新过程理论和拉普拉斯变换工具,求得了系统有关的可靠性指标.This paper able repair facility and not be repaired at once considers a two-same-unit paralleled repairable system with a replace- delayed repair, in which each unit has two types of failure and will when it appears one of failures. Under assuming that both the life of each unit and the repair facility＇s life have exponential distribution, and the repair time, the delayed repair time and the replace time of the repair facility have general distribution, we discuss some reliability problems of the system by using Markov renewal process theory and Laplace transform tool. A series of reliability results of the system are obtained.

关 键 词：两类故障状态 可更换修理设备 修理延迟 可靠性 

分 类 号：O213.2[理学—概率论与数理统计]