LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula Function
Light emitting diode (LED) lamp has attracted increasing interest in the field of lighting systems due to its low energy and long lifetime. For different functions (i.e., illumination and color), it may have two or more performance characteristics. When the multiple performance characteristics are d...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Photoenergy |
| Online Access: | http://dx.doi.org/10.1155/2015/243648 |
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| _version_ | 1832564662103703552 |
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| author | Huibing Hao Chun Su Chunping Li |
| author_facet | Huibing Hao Chun Su Chunping Li |
| author_sort | Huibing Hao |
| collection | DOAJ |
| description | Light emitting diode (LED) lamp has attracted increasing interest in the field of lighting systems due to its low energy and long lifetime. For different functions (i.e., illumination and color), it may have two or more performance characteristics. When the multiple performance characteristics are dependent, it creates a challenging problem to accurately analyze the system reliability. In this paper, we assume that the system has two performance characteristics, and each performance characteristic is governed by a random effects Gamma process where the random effects can capture the unit to unit differences. The dependency of performance characteristics is described by a Frank copula function. Via the copula function, the reliability assessment model is proposed. Considering the model is so complicated and analytically intractable, the Markov chain Monte Carlo (MCMC) method is used to estimate the unknown parameters. A numerical example about actual LED lamps data is given to demonstrate the usefulness and validity of the proposed model and method. |
| format | Article |
| id | doaj-art-14a53ad11bf44d11ad228cbd443e8d03 |
| institution | Kabale University |
| issn | 1110-662X 1687-529X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Photoenergy |
| spelling | doaj-art-14a53ad11bf44d11ad228cbd443e8d032025-02-03T01:10:25ZengWileyInternational Journal of Photoenergy1110-662X1687-529X2015-01-01201510.1155/2015/243648243648LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula FunctionHuibing Hao0Chun Su1Chunping Li2Department of Industrial Engineering, Southeast University, Nanjing 211189, ChinaDepartment of Industrial Engineering, Southeast University, Nanjing 211189, ChinaDepartment of Mathematics, Hubei Engineering University, Xiaogan 432100, ChinaLight emitting diode (LED) lamp has attracted increasing interest in the field of lighting systems due to its low energy and long lifetime. For different functions (i.e., illumination and color), it may have two or more performance characteristics. When the multiple performance characteristics are dependent, it creates a challenging problem to accurately analyze the system reliability. In this paper, we assume that the system has two performance characteristics, and each performance characteristic is governed by a random effects Gamma process where the random effects can capture the unit to unit differences. The dependency of performance characteristics is described by a Frank copula function. Via the copula function, the reliability assessment model is proposed. Considering the model is so complicated and analytically intractable, the Markov chain Monte Carlo (MCMC) method is used to estimate the unknown parameters. A numerical example about actual LED lamps data is given to demonstrate the usefulness and validity of the proposed model and method.http://dx.doi.org/10.1155/2015/243648 |
| spellingShingle | Huibing Hao Chun Su Chunping Li LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula Function International Journal of Photoenergy |
| title | LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula Function |
| title_full | LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula Function |
| title_fullStr | LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula Function |
| title_full_unstemmed | LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula Function |
| title_short | LED Lighting System Reliability Modeling and Inference via Random Effects Gamma Process and Copula Function |
| title_sort | led lighting system reliability modeling and inference via random effects gamma process and copula function |
| url | http://dx.doi.org/10.1155/2015/243648 |
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