Title :
The well-posedness of a two unit repairable parallel redundant system with common-failures and arbitrarily distributed down time
Author :
Ma Dan ; Qiao Xing ; Zhao Guochuan
Author_Institution :
Dept. of Math., Daqing Normal Univ., Daqing, China
Abstract :
This paper presents the models with common-mode failures and arbitrarily distributed down time of a two identical unit parallel redundant system. The repaired failed unit is as good as new. With the assumption of bound to the repair function we prove that the existence and uniqueness of the solution to ACP with system operator, C0-semigroup generator.
Keywords :
group theory; redundancy; reliability theory; ACP; C0-semigroup generator; arbitrarily distributed down time; common mode failure; repair function; repairable parallel redundant system; repaired failed unit; system operator; Availability; Differential equations; Equations; Maintenance engineering; Mathematical model; Random variables; Steady-state; C0-semigroup; Integral differential equations; Non-negative solution; Well-posedness;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
