Title :
Stability analysis of a two non-identical unit parallel system
Author :
Bao Shuxin ; Ma Dan ; Qiao Xing
Author_Institution :
Dept. of Math., Daqing Normal Univ., Daqing, China
Abstract :
A model with common cause failure and human error of a two non-identical unit parallel system was established in this paper. The failed system is repaired back to its normal operating state immediately. On the basis of the assumption that the repair rate of the failed system is not a constant, we study that the C0 semigroup generated by the system operator is quasi-compact and is also irreducible by analyzing its spectrum character and its essential growth bound. Thus we can obtain stability analysis of the studied repairable system.
Keywords :
maintenance engineering; reliability theory; stability; common cause failure; failed system; human error; quasicompact semigroup; repairable system; spectrum character analysis; stability analysis; system operator; two nonidentical unit parallel system; Availability; Eigenvalues and eigenfunctions; Equations; Maintenance engineering; Stability analysis; Steady-state; C0-semigroup; Essential growth bound; Integral differential equations; Irreducible; Parallel system; Stability;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
