Generalized multistate monotone coherent systems

Author

Yu, Kai ; Koren, Israel ; Guo, Yuqing

Author_Institution

Massachusetts Univ., Amherst, MA, USA

Volume

43

Issue

2

fYear

1994

fDate

6/1/1994 12:00:00 AM

Firstpage

242

Lastpage

250

Abstract

Most available models for multistate coherent systems (MCS) assume that the state sets of the system and its components are totally ordered-an assumption that greatly limits the application of the usual MCS models. This paper presents a new MCS model-a generalized multistate coherent system (GMCS) model-which assumes, more generally, that the state sets of the system and its components are partially ordered. Since the structure of a partially ordered set is very flexible, the model applies to the reliability analysis of various multistate coherent systems. As a result, the GMCS model generalizes the coherent system theory from the binary-state case to the multistate case. The authors investigate some of the properties of this generalized model. Then, system reliability is redefined and bounds for its evaluation are derived

Keywords

reliability theory; stochastic processes; system theory; binary-state case; cut-set vector; deterministic properties; generalized multistate coherent system model; multistate monotone coherent systems; partially ordered set; path-set vector; reliability analysis; reliability bounds; reliability evaluation; stochastic performance; system reliability; Degradation; Distributed processing; File servers; Reliability theory; Set theory; State-space methods; System performance; Valves;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/24.295000

Filename

295000