Title :
Reliability analysis of a new kind of four-state system
Author :
Zhao Zhixin ; Guo Lina ; Qiao Xing ; Zhu Guangtian
Author_Institution :
Dept. of Eng., Beijing Inst. of Inf. & Control, Beijing, China
Abstract :
This paper introduces a new model for a four-state repairable system with minimal repair and overhaul repair. By the geometric process technique and the method of supplementary variables, the integro-differential equations of the system are derived. Then the uniqueness and existence of system solution and its exponential stability are studied by using Cο-semigroup theory and functional analysis method. Some reliability indices are presented at the end of the paper from a new point of view.
Keywords :
asymptotic stability; functional analysis; geometry; group theory; integro-differential equations; maintenance engineering; reliability; cοsemigroup theory; exponential stability; four-state repairable system; functional analysis; geometric process; minimal repair; overhaul repair; reliability analysis; Equations; Maintenance engineering; Mathematical model; Stability criteria; Steady-state; C0-semigroup theory; Dynamic solution; Exponential stability; Four-state system; Reliability indices; Steady-state solution;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
