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Articles:2017,Vol:22,Issue(3):175-187 |
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Citation: |
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GUO Hui-xin, SUO Bin, ZHANG Gan-qing. Reliability Bounds based on Universal Generating Function and Discrete Stress-strength Interference Model[J]. International Journal of Plant Engineering and Management, 2017, 22(3): 175-187 |
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| Reliability Bounds based on Universal Generating Function and Discrete Stress-strength Interference Model |
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| GUO Hui-xin1, SUO Bin2, ZHANG Gan-qing1 |
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1. Department of Mechanical and Electrical Engineering, Changsha University, Changsha 410003, P. R. China;
2. Institute of Electronic Engineering, China Academy of Engineering Physics, Sichuan Mianyang 621900, P. R. China |
| Abstract: |
| A method for estimating the component reliability is proposed when the probability density functions of stress and strength can not be exactly determined. For two groups of finite experimental data about the stress and strength, an interval statistics method is introduced. The processed results are formulated as two interval-valued random variables and are graphically represented by using two histograms. The lower and upper bounds of component reliability are proposed based on the universal generating function method and are calculated by solving two discrete stress-strength interference models. The graphical calculations of the proposed reliability bounds are presented through a numerical example and the confidence of the proposed reliability bounds is discussed to demonstrate the validity of the proposed method. It is showed that the proposed reliability bounds can undoubtedly bracket the real reliability value. The proposed method extends the exciting universal generating function method and can give an interval estimation of component reliability in the case of lake of sufficient experimental data. An application example is given to illustrate the proposed method. |
| Key words:
universal generating function
discrete stress-strength interference model
reliability bounds
reliability estimation
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| Received: 2017-03-12
Revised:
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| DOI: 10.13434/j.cnki.1007-4546.2017.0308 |
| Funds: This work is supported by the Foundation of Hunan Provincial Natural Science of China (13JJ6095, 2015JJ2015), the Key Project of Science and Technology Program of Changsha, China (ZD1601010). |
| Corresponding author:
Email： |
Author description: Guo Hui-xin is a professor in Department of Mechanical and Electrical Engineering, Changsha University. His research interests are reliability design, robustness design and uncertain information analysis. xinhuiguo@126.com
Suo Bin is a Ph.D and an associate research fellow in Institute of Electronic Engineering, China Academy of Engineering Physics. His research interests are uncertain information processing, system safety and reliability analysis. suo.y.y@163.com
Zhang Gan-qing is a Ph.D and an associate professor, Changsha University. His research interests are reliability engineering, intelligence optimization, reliability-based optimization and uncertain analysis. hnyyzgq@163.com
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