Reliability analysis of repairable consecutive‐k‐out‐of‐n: G systems with sensor and repairmen

Reliability analysis of repairable consecutive‐k‐out‐of‐n: G systems with sensor and... Purpose – The purpose of this paper is to study repairable consecutive‐k‐out‐of‐n: systems with r repairmen and a sensing device. Design/methodology/approach – The system can either be a circular C(k, n: G) system or a linear C(k, n: G) system. The working time and the repair time of each component in the system and the sensor detection time are exponentially distributed. Every component after repair is perfect. Each component is classified as either a key component, or an ordinary one according to its priority role to system's repair. A sensing device is introduced to detect the failure of each component in the system in advance and completion of repair of components. If the repair is completed, the sensor will send the component to standby according to its priority. The state transition probabilities of the system are derived using the definition of generalized transition probability. To obtain the reliability and availability Laplace transform techniques have been used. Findings – The Kolmogorov‐Feller forward equations are derived for both linear and circular systems. Reliability and MTTF of both the systems are derived using Laplace transforms. Numerical examples are given in detail to demonstrate the theoretical results and these verify the validity of the studied system. Research limitations/implications – A consecutive‐k‐out‐of‐n system consists of a sequence of n‐ordered components along a line or a circle such that the system is good if and only if at least k consecutive components in the system are good. Each component in the system is classified as key component or ordinary component according to its priority in system functioning. By using a sensing device the failure can be detected in advance. Originality/value – This study indicates that by using a sensing device we can detect the failure in advance. Thus, the reliability and MTTF of the system can be improved. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Quality & Reliability Management Emerald Publishing

Reliability analysis of repairable consecutive‐k‐out‐of‐n: G systems with sensor and repairmen

Loading next page...
 
/lp/emerald-publishing/reliability-analysis-of-repairable-consecutive-k-out-of-n-g-systems-x6ysJ0S5Z1
Publisher
Emerald Publishing
Copyright
Copyright © 2011 Emerald Group Publishing Limited. All rights reserved.
ISSN
0265-671X
DOI
10.1108/02656711111162541
Publisher site
See Article on Publisher Site

Abstract

Purpose – The purpose of this paper is to study repairable consecutive‐k‐out‐of‐n: systems with r repairmen and a sensing device. Design/methodology/approach – The system can either be a circular C(k, n: G) system or a linear C(k, n: G) system. The working time and the repair time of each component in the system and the sensor detection time are exponentially distributed. Every component after repair is perfect. Each component is classified as either a key component, or an ordinary one according to its priority role to system's repair. A sensing device is introduced to detect the failure of each component in the system in advance and completion of repair of components. If the repair is completed, the sensor will send the component to standby according to its priority. The state transition probabilities of the system are derived using the definition of generalized transition probability. To obtain the reliability and availability Laplace transform techniques have been used. Findings – The Kolmogorov‐Feller forward equations are derived for both linear and circular systems. Reliability and MTTF of both the systems are derived using Laplace transforms. Numerical examples are given in detail to demonstrate the theoretical results and these verify the validity of the studied system. Research limitations/implications – A consecutive‐k‐out‐of‐n system consists of a sequence of n‐ordered components along a line or a circle such that the system is good if and only if at least k consecutive components in the system are good. Each component in the system is classified as key component or ordinary component according to its priority in system functioning. By using a sensing device the failure can be detected in advance. Originality/value – This study indicates that by using a sensing device we can detect the failure in advance. Thus, the reliability and MTTF of the system can be improved.

Journal

International Journal of Quality & Reliability ManagementEmerald Publishing

Published: Sep 6, 2011

Keywords: Reliability management; Sensors; Key component; Repairable consecutive‐k‐out‐of‐n: G system; Generalized transition probability

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create folders to
organize your research

Export folders, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off