中北大学学报(自然科学版)2018,Vol.39Issue(4):387-390,4.DOI:10.3969/j.issn.1673-3193.2018.04.003
具有小修和不完全预防性维修的多状态退化系统的可靠度分析
Reliability Analysis of a Multi-State Degraded System with Minimal Repairs and the Incomplete Preventive Maintenance
王丽花1
作者信息
- 1. 包头师范学院 数学科学学院,内蒙古 包头 014030
- 折叠
摘要
Abstract
A multi-state degraded system based on the mixed maintenance mode of minimal repairs and incomplete preventive maintenance is studied.Based on the reliability theory and Markov process theo-ry,the operation mode and maintenance mode of the system in a period are analyzed,and the probabilis-tic transition diagram of the system state is drawn.According to the state probabilistic transition dia-gram,differential equation group of state probability is derived.The Laplace transformations formula of state probability is obtained by using the crammer rule in algebra,and then the explicit expression of state probability is derived by Laplace inversion.Finally,the results of the important index of reliability are obtained from the concept of reliability.关键词
多状态系统/小修/预防性维修/可靠度Key words
multi-state system/minimal repairs/preventive maintenance/reliability分类
数理科学引用本文复制引用
王丽花..具有小修和不完全预防性维修的多状态退化系统的可靠度分析[J].中北大学学报(自然科学版),2018,39(4):387-390,4.