Reliability of linear consecutively-connected systems with multistate components

Author

Kossow, Andreas ; Preuss, Wolfgang

Author_Institution

Fachbereich Maschinenbau, Hochschule fur Tech. & Wirtschaft Wismar, Germany

Volume

44

Issue

3

fYear

1995

fDate

9/1/1995 12:00:00 AM

Firstpage

518

Lastpage

522

Abstract

A linear consecutively-connected system with multistate components (LCCSMC) consists of n+2 linear ordered statistically independent multistate components C_i, i∈[0,n], and the sink C_n+1 (which is absolutely reliable in a certain sense). System failure is caused by the C_i. If C_i is in state 0 then it is failed, if it is in the state j (1⩽j⩽k_j for a given k_j) then there are paths from C_i to the next min(j,n-i+1) components. The system fails if there is no path from C₀ to C_n+1. This system generalizes the linear consecutive-k-out-of-n:F system and the consecutively-connected system of Shanthikumar (1987). The paper gives recursive algorithms for determining the LCCSMC reliability

Keywords

consecutive system reliability; failure analysis; linear systems; linear consecutive-k-out-of-n:F system; linear consecutively-connected systems; linear ordered statistically independent multistate components; multistate components; recursive algorithms; reliability; system failure; Relays; Transmitters;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.406595

Filename

406595