Volume 7 Number 4 (Apri. 2012)
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JCP 2012 Vol.7(4): 977-981 ISSN: 1796-203X
doi: 10.4304/jcp.7.4.977-981

Discretization Model of Instantaneous Availability for Continuous-time Systems

Yi Yang1, 2, Lichao Wang1, Rui Kang2
1Reliability and Systems Engineering School Beihang University Beijing, P.R. China, 100191
2China Astronaut Research and Training Center Beijing, P.R. China, 100191


Abstract—In this paper, the instantaneous availability models in continuous and discrete time are proposed for the one-unit repairable systems with delay under exponential distributions. Prior to this, error analyses of sampling discrete distributions are given. Then, the numerical solutions for the continuous- time model and the discrete-time model are presented. The comparison of the solutions reveals that with the step length and sampling interval decreasing, the accuracy of the numerical model is much better. Also, in the same accuracy level, less computation time is needed to solve the discrete-time model. Hence, the discrete-time model is more feasible to analyze instantaneous availability. Finally an example is given to describe the application of the results.

Index Terms—Instantaneous availability; Continuous-time model; Discrete-time model; Comparation analysis.

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Cite: Yi Yang, Lichao Wang, Rui Kang, "Discretization Model of Instantaneous Availability for Continuous-time Systems," Journal of Computers vol. 7, no. 4, pp. 977-981, 2012.

General Information

ISSN: 1796-203X
Abbreviated Title: J.Comput.
Frequency: Monthly
Editor-in-Chief: Prof. Liansheng Tan
Executive Editor: Ms. Nina Lee
Abstracting/ Indexing: DBLP, EBSCO,  ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat, CNKI,etc
E-mail: jcp@iap.org
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