MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system
Abstract In many cases, redundant systems are beset by both independent and dependent failures. Ignoring dependent variables in MTBF evaluation of redundant systems hastens the occurrence of failure, causing it to take place before the expected time, hence decreasing safety and creating irreversible...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Islamic Azad University
2017-08-01
|
Series: | Journal of Industrial Engineering International |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1007/s40092-017-0226-6 |
id |
doaj-1dbf72460f8b459693789a8ba2715674 |
---|---|
record_format |
Article |
spelling |
doaj-1dbf72460f8b459693789a8ba27156742021-02-02T01:13:53ZengIslamic Azad UniversityJournal of Industrial Engineering International1735-57022251-712X2017-08-0114228129110.1007/s40092-017-0226-6MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping systemSeyed Mohammad Mortazavi0Maryam Mohamadi1Javid Jouzdani2Department of Industrial Engineering, Najafabad Branch, Islamic Azad UniversityDepartment of Industrial Engineering, Najafabad Branch, Islamic Azad UniversityDepartment of Industrial Engineering, Golpayegan University of TechnologyAbstract In many cases, redundant systems are beset by both independent and dependent failures. Ignoring dependent variables in MTBF evaluation of redundant systems hastens the occurrence of failure, causing it to take place before the expected time, hence decreasing safety and creating irreversible damages. Common cause failure (CCF) and cascading failure are two varieties of dependent failures, both leading to a considerable decrease in the MTBF of redundant systems. In this paper, the alpha-factor model and the capacity flow model are combined so as to incorporate CCF and cascading failure in the evaluation of MTBF of a 2-out-of-3 repairable redundant system. Then, using a transposed matrix, the MTBF function of the system is determined. Due to the fact that it is difficult to estimate the independent and dependent failure rates, industries are interested in considering uncertain failure rates. Therefore, fuzzy theory is used to incorporate uncertainty into the model presented in this study, and a nonlinear programming model is used to determine system’s MTBF. Finally, in order to validate the proposed model, evaluation of MTBF of the redundant system of a centrifugal water pumping system is presented as a practical example.http://link.springer.com/article/10.1007/s40092-017-0226-6Mean time between failures (MTBF)Redundant repairable systemsCommon cause failure (CCF)Cascading failureFuzzy parameters |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Seyed Mohammad Mortazavi Maryam Mohamadi Javid Jouzdani |
spellingShingle |
Seyed Mohammad Mortazavi Maryam Mohamadi Javid Jouzdani MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system Journal of Industrial Engineering International Mean time between failures (MTBF) Redundant repairable systems Common cause failure (CCF) Cascading failure Fuzzy parameters |
author_facet |
Seyed Mohammad Mortazavi Maryam Mohamadi Javid Jouzdani |
author_sort |
Seyed Mohammad Mortazavi |
title |
MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system |
title_short |
MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system |
title_full |
MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system |
title_fullStr |
MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system |
title_full_unstemmed |
MTBF evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system |
title_sort |
mtbf evaluation for 2-out-of-3 redundant repairable systems with common cause and cascade failures considering fuzzy rates for failures and repair: a case study of a centrifugal water pumping system |
publisher |
Islamic Azad University |
series |
Journal of Industrial Engineering International |
issn |
1735-5702 2251-712X |
publishDate |
2017-08-01 |
description |
Abstract In many cases, redundant systems are beset by both independent and dependent failures. Ignoring dependent variables in MTBF evaluation of redundant systems hastens the occurrence of failure, causing it to take place before the expected time, hence decreasing safety and creating irreversible damages. Common cause failure (CCF) and cascading failure are two varieties of dependent failures, both leading to a considerable decrease in the MTBF of redundant systems. In this paper, the alpha-factor model and the capacity flow model are combined so as to incorporate CCF and cascading failure in the evaluation of MTBF of a 2-out-of-3 repairable redundant system. Then, using a transposed matrix, the MTBF function of the system is determined. Due to the fact that it is difficult to estimate the independent and dependent failure rates, industries are interested in considering uncertain failure rates. Therefore, fuzzy theory is used to incorporate uncertainty into the model presented in this study, and a nonlinear programming model is used to determine system’s MTBF. Finally, in order to validate the proposed model, evaluation of MTBF of the redundant system of a centrifugal water pumping system is presented as a practical example. |
topic |
Mean time between failures (MTBF) Redundant repairable systems Common cause failure (CCF) Cascading failure Fuzzy parameters |
url |
http://link.springer.com/article/10.1007/s40092-017-0226-6 |
work_keys_str_mv |
AT seyedmohammadmortazavi mtbfevaluationfor2outof3redundantrepairablesystemswithcommoncauseandcascadefailuresconsideringfuzzyratesforfailuresandrepairacasestudyofacentrifugalwaterpumpingsystem AT maryammohamadi mtbfevaluationfor2outof3redundantrepairablesystemswithcommoncauseandcascadefailuresconsideringfuzzyratesforfailuresandrepairacasestudyofacentrifugalwaterpumpingsystem AT javidjouzdani mtbfevaluationfor2outof3redundantrepairablesystemswithcommoncauseandcascadefailuresconsideringfuzzyratesforfailuresandrepairacasestudyofacentrifugalwaterpumpingsystem |
_version_ |
1724312019597787136 |