A new approach for determining the most important system components and the budget-constrained system reliability improvement
Abstract
Importance measures are used for indexing system components due to their impact on the system's overall reliability. In order to identify the specific number of the most critical components, first-ranked components are singled out as the most important ones. However, importance measures consider only the influence of individual components and they are not applicable to combinations or groups of components. This common feature of importance measures is referred to in literature as one of still open issues. This paper proposes a new approach for determining the most important system components, where a whole set of components are determined simultaneously taking into account their interdependence. In systems with a large number of interdependent components, the number of the most important components which should be prevented is often limited due to the available budget. Using pre-known minimal cut sets, a mathematical model based on the Budgeted Maximum Coverage Problem is proposed. By ...its optimization, the simultaneous determination of all of the most important components whose total expenses do not exceed the limited overall budget is achieved. The new approach was tested by a series of experiments conducted over a set of test examples. The results of the experiments were compared with the results obtained using two commonly used cost importance measures.
Keywords:
reliability / optimization / importance measures / critical components / budgeted maximum coverage problemSource:
Eksploatacja I Niezawodnosc-Maintenance and Reliability, 2017, 19, 3, 413-419Publisher:
- Polish Maintenance Soc, Lublin
DOI: 10.17531/ein.2017.3.12
ISSN: 1507-2711
WoS: 000403344800012
Scopus: 2-s2.0-85020499598
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Fakultet organizacionih naukaTY - JOUR AU - Pavlović, Petar AU - Makajić-Nikolić, Dragana AU - Vujošević, Mirko PY - 2017 UR - https://rfos.fon.bg.ac.rs/handle/123456789/1702 AB - Importance measures are used for indexing system components due to their impact on the system's overall reliability. In order to identify the specific number of the most critical components, first-ranked components are singled out as the most important ones. However, importance measures consider only the influence of individual components and they are not applicable to combinations or groups of components. This common feature of importance measures is referred to in literature as one of still open issues. This paper proposes a new approach for determining the most important system components, where a whole set of components are determined simultaneously taking into account their interdependence. In systems with a large number of interdependent components, the number of the most important components which should be prevented is often limited due to the available budget. Using pre-known minimal cut sets, a mathematical model based on the Budgeted Maximum Coverage Problem is proposed. By its optimization, the simultaneous determination of all of the most important components whose total expenses do not exceed the limited overall budget is achieved. The new approach was tested by a series of experiments conducted over a set of test examples. The results of the experiments were compared with the results obtained using two commonly used cost importance measures. PB - Polish Maintenance Soc, Lublin T2 - Eksploatacja I Niezawodnosc-Maintenance and Reliability T1 - A new approach for determining the most important system components and the budget-constrained system reliability improvement EP - 419 IS - 3 SP - 413 VL - 19 DO - 10.17531/ein.2017.3.12 UR - conv_1932 ER -
@article{ author = "Pavlović, Petar and Makajić-Nikolić, Dragana and Vujošević, Mirko", year = "2017", abstract = "Importance measures are used for indexing system components due to their impact on the system's overall reliability. In order to identify the specific number of the most critical components, first-ranked components are singled out as the most important ones. However, importance measures consider only the influence of individual components and they are not applicable to combinations or groups of components. This common feature of importance measures is referred to in literature as one of still open issues. This paper proposes a new approach for determining the most important system components, where a whole set of components are determined simultaneously taking into account their interdependence. In systems with a large number of interdependent components, the number of the most important components which should be prevented is often limited due to the available budget. Using pre-known minimal cut sets, a mathematical model based on the Budgeted Maximum Coverage Problem is proposed. By its optimization, the simultaneous determination of all of the most important components whose total expenses do not exceed the limited overall budget is achieved. The new approach was tested by a series of experiments conducted over a set of test examples. The results of the experiments were compared with the results obtained using two commonly used cost importance measures.", publisher = "Polish Maintenance Soc, Lublin", journal = "Eksploatacja I Niezawodnosc-Maintenance and Reliability", title = "A new approach for determining the most important system components and the budget-constrained system reliability improvement", pages = "419-413", number = "3", volume = "19", doi = "10.17531/ein.2017.3.12", url = "conv_1932" }
Pavlović, P., Makajić-Nikolić, D.,& Vujošević, M.. (2017). A new approach for determining the most important system components and the budget-constrained system reliability improvement. in Eksploatacja I Niezawodnosc-Maintenance and Reliability Polish Maintenance Soc, Lublin., 19(3), 413-419. https://doi.org/10.17531/ein.2017.3.12 conv_1932
Pavlović P, Makajić-Nikolić D, Vujošević M. A new approach for determining the most important system components and the budget-constrained system reliability improvement. in Eksploatacja I Niezawodnosc-Maintenance and Reliability. 2017;19(3):413-419. doi:10.17531/ein.2017.3.12 conv_1932 .
Pavlović, Petar, Makajić-Nikolić, Dragana, Vujošević, Mirko, "A new approach for determining the most important system components and the budget-constrained system reliability improvement" in Eksploatacja I Niezawodnosc-Maintenance and Reliability, 19, no. 3 (2017):413-419, https://doi.org/10.17531/ein.2017.3.12 ., conv_1932 .