Reliability modeling and analysis of embedded system hardware based on Copula function
GUO Rongzuo1, FAN Xiangkui1, CUI Dongxia2, LI Ming1
1. College of Computer Science, Sichuan Normal University, Chengdu Sichuan 610101, China;
2. College of Fundamental Education, Sichuan Normal University, Chengdu Sichuan 610068, China
The reliability of Embedded System Hardware (ESH) is very important, which is directly related to the quality and longevity of the embedded system. To analyze the reliability of ESH, it was studied on the perspective of hardware using Copula function. At first, abstract formalization of the ESH was defined from composition level. Then reliability modeling of each function module of the ESH was given by considering integration of hardware and software, as well as using Copulas function to establish the reliability model of ESH. Finally, the parameters of the proposed reliability model were estimated, and a specific calculation example by using this proposed model was put forward and compared with some other Copulas functions. The result shows that the proposed model using Copula function is effective.
郭荣佐, 樊相奎, 崔冬霞, 黎明. 嵌入式系统硬件可靠性Copula方法建模与分析[J]. 计算机应用, 2015, 35(2): 550-554.
GUO Rongzuo, FAN Xiangkui, CUI Dongxia, LI Ming. Reliability modeling and analysis of embedded system hardware based on Copula function. Journal of Computer Applications, 2015, 35(2): 550-554.
ALI S, ASLAM M, KUNDU D, et al. Bayesian estimation of the mixture of generalized exponential distribution: a versatile lifetime model in industrial processes [J]. Journal of the Chinese Institute of Industrial Engineers, 2012, 29(4): 246-269.
[2]
HUANG J, RAABE A, HUANG K, et al. A framework for reliability-aware design exploration on MPSoC based systems [J]. Design Automation for Embedded Systems, 2013, 16(4): 189-220.
[3]
GUO R, HUANG J. Reliability & application research of the hardware of embedded real-time control system [J]. Application of Electronic Technique,2012,38(5):11-15. (郭荣佐,黄君.嵌入式实时控制系统硬件可靠性及应用研究[J].电子技术应用,2012,38(5):11-15.)
[4]
[CM(27]DURANTE F, SEMPI C. Copula theory: an introduction [M]// Copula Theory and Its Applications. Berlin: Springer, 2010: 3-31.
[5]
RAM M. On system reliability approaches: a brief survey [J]. International Journal of System Assurance Engineering and Management, 2013, 4(2): 101-117.
[6]
RAM M, SINGH S B. Availability, MTTF and cost analysis of complex system under preemptive-repeat repair discipline using Gumbel-Hougaard family copula [J]. International Journal of Quality & Reliability Management, 2010, 27(5): 576-595.
[7]
RAM M. Reliability measures of a three-state complex system: a copula approach [J]. Applications and Applied Mathematics: An International Journal,2010, 5(10): 1483-1492.
[8]
GUO R, HUANG J. Modeling and application for software reliability of embedded real-time control system[J].Journal of Computer Applications, 2013, 33(2): 575-578.(郭荣佐,黄君.嵌入式实时控制系统软件可靠性建模与应用[J].计算机应用,2013,33(2):575-578.)
[9]
NOH Y, CHOI K K, DU L. Reliability-based design optimization of problems with correlated input variables using a Gaussian copula [J]. Structural and Multidisciplinary Optimization, 2009, 38(1): 1-16.
[10]
WANG Y, PHAM H. Modeling the dependent competing risks with multiple degradation processes and random shock using time-varying copulas [J]. IEEE Transactions on Reliability, 2012; 61(1): 13-22.
[11]
HAN K-H. A new family of negative quadrant dependent bivariate distributions with continuous marginals [J]. Journal of the Chungcheong Mathematical Society, 2011, 24(4): 795-805.
[12]
GUO C, WANG W, GUO B, et al. Maintenance optimization for systems with dependent competing risks using a copula function [J]. Eksploatacja i Niezawodnosc — Maintenance and Reliability, 2013, 15(1): 9-17.
[13]
GUO R. Integrated reliability modeling and analysis of hardware/software of ERCS system based on copulas[J].Computer Science, 2014,41(4):145-149. (郭荣佐.基于Copula的ERCS系统软硬件综合可靠性建模与分析[J].计算机科学,2014,41(4):145-149.)
2015, Vol. 35 
