Reliability analysis of a repairable system with step-by-step maintenance policy

Author

Gao Chao ; Wang Xin ; Zhao Zhixin

Author_Institution

Beijing Inst. of Inf. & Control, Beijing, China

fYear

2011

fDate

22-24 July 2011

Firstpage

4346

Lastpage

4350

Abstract

This paper devotes to studying reliability of a bicycle repairable model with step-by-step maintenance policy by C₀ semigroup theory. Firstly, we get that the system has a unique nonnegative time-dependent solution. Moreover, we obtain that the time-dependent solution exponentially converges to the steady-state solution, which is the positive eigenfunction corresponding to the simple eigenvalue 0. Finally, we discuss some steady-state reliability indices of the system, and make a comparison of the repair costs between step-by-step maintenance policy and non-step-by-step maintenance policy.

Keywords

bicycles; costing; group theory; maintenance engineering; reliability; C₀ semigroup theory; bicycle repairable model; nonnegative time-dependent solution; reliability analysis; repair costs; repairable system; steady-state reliability index; steady-state solution; step-by-step maintenance policy; Bicycles; Eigenvalues and eigenfunctions; Maintenance engineering; Mathematical model; Reliability; Steady-state; Tires; Exponential stability; Reliability indices; Step-by-step maintenance policy; Time-dependent solution;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001528