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Bayesian theory based software reliability demonstration test method for safety critical software†

Published online by Cambridge University Press:  04 September 2014

YUMEI WU ,
RISHENG YANG ,
HAIFENG LI  and
MINYA LU
YUMEI WU
Affiliation:
School of Reliability and Systems Engineering, Beihang University, Beijing, China Email: [email protected]
RISHENG YANG
Affiliation:
School of Reliability and Systems Engineering, Beihang University, Beijing, China Email: [email protected]
HAIFENG LI
Affiliation:
School of Reliability and Systems Engineering, Beihang University, Beijing, China Email: [email protected]
MINYA LU
Affiliation:
School of Reliability and Systems Engineering, Beihang University, Beijing, China Email: [email protected]
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Abstract

The original software reliability demonstration test (SRDT) does not take adequate account of prior knowledge or the prior distribution, which can lead to an expensive use of many resources. In the current paper, we propose a new improved Bayesian based SRDT method. We begin by constructing a framework for the SRDT scheme, then we use decreasing functions to construct the prior distribution density functions for both discrete and continuous safety-critical software, and then present schemes for both discrete and continuous Bayesian software demonstration functions (which we call DBSDF and CBSDF, respectively). We have carried out a set of experiments comparing our new schemes with the classic demonstration testing scheme on several published data sets. The results reveal that the DBSDF and CBSDF schemes are both more efficient and more applicable, and this is especially the case for safety-critical software with high reliability requirements.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 24 , Special Issue 5: Mathematical Method in Intelligent Computing and Automation , October 2014 , e240508
Copyright
Copyright © Cambridge University Press 2014 

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Footnotes

†

This work was partially supported by Project Z231020 of the Ministry of Industry and Information Technology of China.

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