Comparing the importance of system components by some structural characteristics

Meng, Fan C.

doi:10.1109/24.488917

Cited by 73 publications

(25 citation statements)

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“…Meng [10,11] proved some relations with respect to the critical importance and the cut importance. It was also proved [8] that the Himportance implies uniform Birnbaum importance, which clearly implies the half-line importance, and thus the combinatorial importance.…”

Section: H-importancementioning

confidence: 95%

Rare‐event component importance for the consecutive‐k system

Chang

Hwang

2002

Naval Research Logistics

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Abstract:Various indices of component importance with respect to system reliability have been proposed. The most popular one is the Birnbaum importance. In particular, a special case called uniform Birnbaum importance in which all components have the same reliability p has been widely studied for the consecutive-k system. Since it is not easy to compare uniform Birnbaum importance, the literature has looked into the case p = . In this paper, we look into the case p → 0 to complete the spectrum of examining Birnbaum importance over the whole range of p.

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Section: H-importancementioning

confidence: 95%

Rare‐event component importance for the consecutive‐k system

Chang

Hwang

2002

Naval Research Logistics

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“…According to this measure, the importance of an element depends on the number and on the order of the cut-sets in which it appears. Structural importance measures account for the topographic importance of the logic position of the element in the system 24,25 . Criticality importance measures consider the conditional probability of failure of an element, given that the system has failed 26, 27 .…”

Section: Further Researchmentioning

confidence: 99%

Protection Survivability Importance in Systems with Multilevel Protection

Levitin¹

2004

Quality & Reliability Eng

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This paper considers systems that can have different states corresponding to different combinations of available elements constituting the system. Each state can be characterized by a performance rate, which is the quantitative measure of a system's ability to perform its task. Both the impact of external factors (attack) and internal causes (failures) affect system survivability, which is determined as the probability of meeting a given demand. In order to increase the system's survivability a multilevel protection is applied to its subsystems. This means that a subsystem and its inner level of protection are in turn protected by the protection of an outer level. This doubleprotected subsystem has its outer protection and so forth. In such systems, the protected subsystems can be destroyed only if all of the levels of their protection are destroyed. Each level of protection can be destroyed only if all of the outer levels of protection are destroyed. In such systems, different protections play different roles in providing for the system's survivability. The evaluation of the relative influence of the protections' survivability on the survivability of the entire system provides useful information about the importance of these protections. The protection survivability importance index is introduced in order to evaluate this influence and an algorithm for evaluating the index is presented. The relevancy of protection is also considered. Illustrative examples are presented.

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“…A wide range of importance measures have been introduced (Andrews & Moss, 2002;Armstrong, 1995;Hong & Lie, 1993;Meng, 1995;Meng, 1996) for binary systems since Birnbaum's work (Birnbaum, 1969). For example, the structural importance is used to measure the topological importance of nodes (or components in the nodes) in the systems (Meng, 1995;Meng, 1996); the Birnbaum reliability importance measures the effect of an improvement in component reliability on system reliability; and the joint importance was introduced to measure how two components in a system interact in contribution to the system reliability (Armstrong, 1995;Armstrong, 1997;Hong & Lie, 1993).…”

Section: Introductionmentioning

confidence: 99%

“…For example, the structural importance is used to measure the topological importance of nodes (or components in the nodes) in the systems (Meng, 1995;Meng, 1996); the Birnbaum reliability importance measures the effect of an improvement in component reliability on system reliability; and the joint importance was introduced to measure how two components in a system interact in contribution to the system reliability (Armstrong, 1995;Armstrong, 1997;Hong & Lie, 1993). The various importance measures can be categorized into either reliability importance or structural importance.…”

Section: Introductionmentioning

confidence: 99%

Joint importance of multistate systems

2005

Computers & Industrial Engineering

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Abstract. Importance measures in reliability engineering are used to identify weak areas of a system and signify the roles of components in either causing or contributing to proper functioning of the system. Traditional importance measures for multistate systems mainly concern reliability importance of an individual component and seldom consider the utility performance of the system. This paper extends the joint importance concepts of two components from the binary system case to the multistate system case. Considering the performance utility of the system, the joint structural importance and the joint reliability importance are defined. The joint structural importance measures the relationship of two components when the reliabilities of components are not available. The joint reliability importance is then inferred when the reliabilities of the components are given.The properties of the importance measures are also investigated. A case study for an offshore electrical power generation system is finally given.

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Comparing the importance of system components by some structural characteristics

Cited by 73 publications

References 0 publications

Rare‐event component importance for the consecutive‐k system

Rare‐event component importance for the consecutive‐k system

Protection Survivability Importance in Systems with Multilevel Protection

Joint importance of multistate systems

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