Prime implicants in dynamic reliability analysis

Tero Tyrväinen (Corresponding Author)

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)

Abstract

This paper develops an improved definition of a prime implicant for the needs of dynamic reliability analysis. Reliability analyses often aim to identify minimal cut sets or prime implicants, which are minimal conditions that cause an undesired top event, such as a system's failure. Dynamic reliability analysis methods take the time-dependent behaviour of a system into account. This means that the state of a component can change in the analysed time frame and prime implicants can include the failure of a component at different time points. There can also be dynamic constraints on a component's behaviour. For example, a component can be non-repairable in the given time frame. If a non-repairable component needs to be failed at a certain time point to cause the top event, we consider that the condition that it is failed at the latest possible time point is minimal, and the condition in which it fails earlier non-minimal. The traditional definition of a prime implicant does not account for this type of time-related minimality. In this paper, a new definition is introduced and illustrated using a dynamic flowgraph methodology model.
Original languageEnglish
Pages (from-to)39-46
JournalReliability Engineering and System Safety
Volume146
DOIs
Publication statusPublished - 2016
MoE publication typeA1 Journal article-refereed

Fingerprint

Reliability analysis

Keywords

  • dynamic flowgraph methodology
  • dynamic realiability analysis
  • prime implicant

Cite this

@article{f0c041c498c64b6cbc7c9609519f7a04,
title = "Prime implicants in dynamic reliability analysis",
abstract = "This paper develops an improved definition of a prime implicant for the needs of dynamic reliability analysis. Reliability analyses often aim to identify minimal cut sets or prime implicants, which are minimal conditions that cause an undesired top event, such as a system's failure. Dynamic reliability analysis methods take the time-dependent behaviour of a system into account. This means that the state of a component can change in the analysed time frame and prime implicants can include the failure of a component at different time points. There can also be dynamic constraints on a component's behaviour. For example, a component can be non-repairable in the given time frame. If a non-repairable component needs to be failed at a certain time point to cause the top event, we consider that the condition that it is failed at the latest possible time point is minimal, and the condition in which it fails earlier non-minimal. The traditional definition of a prime implicant does not account for this type of time-related minimality. In this paper, a new definition is introduced and illustrated using a dynamic flowgraph methodology model.",
keywords = "dynamic flowgraph methodology, dynamic realiability analysis, prime implicant",
author = "Tero Tyrv{\"a}inen",
note = "Project code: 101958",
year = "2016",
doi = "10.1016/j.ress.2015.10.007",
language = "English",
volume = "146",
pages = "39--46",
journal = "Reliability Engineering and System Safety",
issn = "0951-8320",
publisher = "Elsevier",

}

Prime implicants in dynamic reliability analysis. / Tyrväinen, Tero (Corresponding Author).

In: Reliability Engineering and System Safety, Vol. 146, 2016, p. 39-46.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Prime implicants in dynamic reliability analysis

AU - Tyrväinen, Tero

N1 - Project code: 101958

PY - 2016

Y1 - 2016

N2 - This paper develops an improved definition of a prime implicant for the needs of dynamic reliability analysis. Reliability analyses often aim to identify minimal cut sets or prime implicants, which are minimal conditions that cause an undesired top event, such as a system's failure. Dynamic reliability analysis methods take the time-dependent behaviour of a system into account. This means that the state of a component can change in the analysed time frame and prime implicants can include the failure of a component at different time points. There can also be dynamic constraints on a component's behaviour. For example, a component can be non-repairable in the given time frame. If a non-repairable component needs to be failed at a certain time point to cause the top event, we consider that the condition that it is failed at the latest possible time point is minimal, and the condition in which it fails earlier non-minimal. The traditional definition of a prime implicant does not account for this type of time-related minimality. In this paper, a new definition is introduced and illustrated using a dynamic flowgraph methodology model.

AB - This paper develops an improved definition of a prime implicant for the needs of dynamic reliability analysis. Reliability analyses often aim to identify minimal cut sets or prime implicants, which are minimal conditions that cause an undesired top event, such as a system's failure. Dynamic reliability analysis methods take the time-dependent behaviour of a system into account. This means that the state of a component can change in the analysed time frame and prime implicants can include the failure of a component at different time points. There can also be dynamic constraints on a component's behaviour. For example, a component can be non-repairable in the given time frame. If a non-repairable component needs to be failed at a certain time point to cause the top event, we consider that the condition that it is failed at the latest possible time point is minimal, and the condition in which it fails earlier non-minimal. The traditional definition of a prime implicant does not account for this type of time-related minimality. In this paper, a new definition is introduced and illustrated using a dynamic flowgraph methodology model.

KW - dynamic flowgraph methodology

KW - dynamic realiability analysis

KW - prime implicant

U2 - 10.1016/j.ress.2015.10.007

DO - 10.1016/j.ress.2015.10.007

M3 - Article

VL - 146

SP - 39

EP - 46

JO - Reliability Engineering and System Safety

JF - Reliability Engineering and System Safety

SN - 0951-8320

ER -