Modeling a shared-load k-out-of-n:G system

Author

Shao, Jiajun ; Lamberson, Leonard R.

Author_Institution

Chengdu Aircraft Corp., China

Volume

40

Issue

2

fYear

1991

fDate

6/1/1991 12:00:00 AM

Firstpage

205

Lastpage

209

Abstract

A Markov model for analyzing the reliability and availability of an n-unit shared-load repairable k-out-of-n:G system with imperfect switching is presented. The equations for both time-dependent and steady-state system availability are given. An inverse Laplace transform is used to solve the simultaneous differential equations for the nonrepairable case. A generalized analytic function for system reliability is obtained. Examples are provided to demonstrate the model and the impact of a load-sharing strategy on the reliability. The load-sharing strategy can improve system reliability and availability, if the controller and switching parameters are adequate. The proposed approach and solution are helpful to system engineers and reliability analysts

Keywords

Markov processes; reliability theory; Markov model; availability; generalized analytic function; imperfect switching; inverse Laplace transform; reliability; repairable system; shared-load k-out-of-n:G system; simultaneous differential equations; Aircraft; Availability; Control systems; Differential equations; Laplace equations; Load modeling; Markov processes; Redundancy; Reliability engineering; Steady-state;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.87129

Filename

87129