2019
DOI: 10.1016/j.ress.2019.01.007
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Matrix-based Bayesian Network for efficient memory storage and flexible inference

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Cited by 21 publications
(10 citation statements)
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References 25 publications
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“…extended the matrix formulation of the MSR method to solve k-out-of-N system problems in their efforts to evaluate the reliability growth of a complex system. The matrixbased formulation of the events and their corresponding probabilities in the LP bounds (Song and Der Kiureghian 2003) and MSR (Kang et al 2008;Song and Kang 2009) methods led to the development of a matrix-based Bayesian network (MBN) (Byun et al 2019), which utilizes an alternative matrix-based data structure of the probability mass functions for efficient memory storage and flexible inference. Kang and Song (2010) developed the sequential compounding method (SCM) to approximate rapidly the reliability of general systems.…”
Section: Methods For General Systemsmentioning
confidence: 99%
“…extended the matrix formulation of the MSR method to solve k-out-of-N system problems in their efforts to evaluate the reliability growth of a complex system. The matrixbased formulation of the events and their corresponding probabilities in the LP bounds (Song and Der Kiureghian 2003) and MSR (Kang et al 2008;Song and Kang 2009) methods led to the development of a matrix-based Bayesian network (MBN) (Byun et al 2019), which utilizes an alternative matrix-based data structure of the probability mass functions for efficient memory storage and flexible inference. Kang and Song (2010) developed the sequential compounding method (SCM) to approximate rapidly the reliability of general systems.…”
Section: Methods For General Systemsmentioning
confidence: 99%
“…This means that the conditional distributions of EDPs and IMs do not need to be defined for those inappropriate model parameter values. To address this issue, this paper uses the matrix-based Bayesian network (MBN) proposed in Byun et al 45 The MBN utilizes an alternative matrix-based formulation of conditional probabilities for efficient memory storage and flexible inference. Therefore, the MBN provides an ideal means of overcoming the aforementioned issue of inexhaustive distribution.…”
Section: F I G U R Ementioning
confidence: 99%
“…Therefore, the MBN provides an ideal means of overcoming the aforementioned issue of inexhaustive distribution. More details and other advantages of the MBN can be found in Byun et al 45 and Byun and Song. 46 This paper uses the data structure and inference algorithms of the MBN to evaluate the seismic fragility under various conditions of main and aftershocks using the BN model structure in Figure 9.…”
Section: F I G U R Ementioning
confidence: 99%
“…The Bayesian network model is used to create a more complex process, and it needs experts' participation to determine the network nodes to solve problems related to field knowledge through repeated research and constantly improving the Bayesian network structure. Byun et al [38] propose a matrix-based Bayesian network (MBN) that facilitates efficient modeling based on joint probability, mass functions and flexible inference. In addition, the Bayesian network analysis also appears in supply chain management [39], risk management [40], project decision-making [41]and environmental simulation [42].…”
Section: Bayesian Network and Reliability Distributionmentioning
confidence: 99%