Relationship and Changing Analysis of Birnbaum Importance for Different Components with Bayesian Networks
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Bibliographic record
Abstract
AbstractImportance measures are widely used in reliability engineering. To support system reliability optimization, this paper studies the relationship and changing characteristics of the Birnbaum importance measures (BMs) for different components in binary coherent systems. First, the probabilistic meaning of BM and a modeling method for binary coherent system based on Bayesian network (BN) are presented. Then, the relationship of BMs for different components is explored according to the position of corresponding nodes (components) in BN structures. Later, the changing of BMs for different components, which is caused by the reliability improvements of related root or middle nodes (components) in BN structures, is analyzed respectively. Finally, an illustrative example of a helicopter convertor is implemented to demonstrate the calculation and application process of the relationship and changing characteristics in binary coherent systems with BN. The experimental analysis results substantiate the correctness and effectiveness of the proposed relationship and changing characteristics of BMs for different components.Key Words: Birnbaum importance measurebinary coherent systemBayesian networkchanging of importancerelationship of importance. Additional informationNotes on contributorsZhiqiang CaiZhiqiang Cai Zhiqiang Cai was born in China in 1981. He is currently an Associate Professor in the School of Mechatronics, Northwestern Polytechnical University (NPU), China. He is also a member of IEEE and IEEE RS. He received his B.S. degree in 2003 at NPU with the title of "Excellent Undergraduate of Shaanxi province". He received his M.S. degree in 2006 at NPU with the award of "Excellent Thesis of NPU". In 2007, with the support of China Scholarship Council, he went to the Ecole Centrale Paris, France as a co-supervised Ph.D. student for one year. In 2010, he received his Ph.D. degree at NPU, majored in Management Science and Engineering. He has published over 20 academic papers and articles in journals and conferences in the past 5 years. His research interests include system reliability modeling, analysis and optimization.Shubin SiShubin Si Shubin Si was born in China in 1974. Currently he is a Professor in the School of Mechatronics, Northwestern Polytechnical University (NPU), China. He received his B.S. degree in 1997 and received his M.S. degree in 2002 at NPU, majored in Mechatronics Engineering. He also received his Ph.D. degree in 2006 at NPU, majored in Management Science and Engineering. In 2007, with the support of China Scholarship Council, he went to the University of Vaasa, Finland as a visit scholar for one year. He has published over 60 academic papers and articles in journals and conferences in the past 5 years. He also headed and participated in 5 government supported foundations and more than 10 enterprise supported projects. His research topics include system reliability theory, importance measure theory, maintenance management systems, and decision support systems.Hongyan DuiHongyan Dui Hongyan Dui was born in China in 1982. He received the B.S. degree (2007) in applied mathematics from Henan University at Henan, and the M.S. degree (2009) from the Major of Applied Mathematics, Northwestern Polytechnical University (NPU), China. He is currently a Ph.D. candidate of the School of Mechatronics, NPU. In 2011, he went to the University of Alberta as a visit collaborator for two months. His research interests include system reliability and importance analysis.Shudong SunShudong Sun Shudong Sun was born in China in 1963. He is a Professor of the School of Mechatronics, Northwestern Polytechnical University, China. He received his Ph.D. (1989) from the School of Mechanical Engineering, Nanjing University of Aeronautical and Astronautical, China. He is currently a managing director of Manufacturing Automation Research, Mechatronics and Robotics Research, and Manufacturing Technology and Machine Tool in National University, and a deputy director of Industrial Engineering Branch of Mechanical Engineering Society in Shanxi, China. He is also a member of IEEE. He went to the University of Sheffield, Strathclyde, and Malta, UK as a visit scholar for one year in 1994, 2004, and 2007, respectively. He received the outstanding young teacher award of ministry of education, and aviation youth technology award. His research interests include production management, maintenance management and robotics.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.002 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.003 | 0.005 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it