Software Reliability Demonstration Testing Scheme of Prior Dynamic Integration Bayesian Method based on the Idea of Decreasing Function

doi:10.23940/ijpe.18.12.p18.30873097

Abstract

Abstract:

Nowadays, aiming at the problem of long testing duration of software reliability demonstration testing, this paper presents a method that can greatly shorten testing duration. First, the idea of a monotone decreasing function is integrated into the Bayesian theory of software reliability demonstration testing, and then a software reliability demonstration testing scheme of a Bayesian method based on monotone decreasing function is proposed. Secondly, according to the real-time prior information in the testing phase, priori information is dynamically integrated. Two kinds of priori dynamic integration methods suitable for two different conditions are proposed. Finally, through experimental analysis, it is proven that the testing scheme can significantly reduce testing duration under the same confidence condition, and the two kinds of prior dynamic integration methods are feasible.

Key words: Bayesian theory, software reliability demonstration testing, monotone decreasing function, prior information, dynamic integration

Zhenyu Ma, Wei Wu, Wei Zhang, Jianping Wang, Fusheng Liu, and Kun Han. Software Reliability Demonstration Testing Scheme of Prior Dynamic Integration Bayesian Method based on the Idea of Decreasing Function [J]. Int J Performability Eng, 2018, 14(12): 3087-3097.

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References 16

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Failure interval time	Failure times
1136.36	88
649.35	154
7142.86	14
396.83	252
943.40	106
8333.33	12
335.57	298
2173.91	46
16666.67	6
5555.56	18

Failure times	No prior information	Prior information with monotone decreasing function
0	4601	3593
1	6633	5625
2	8400	7392
3	10039	9031
4	11598	10590
5	13100	12092
6	14563	13555
7	15992	14984
8	17395	16387
9	18775	17767

Actual failure times	The total testing duration under the condition of error correction
0	3593
1	5625
2	7392
3	9031
4	10590
5	12092
6	13555
7	14984

Actual failure times	The total testing duration under the condition of error correction	The total testing duration without correction error
0	5625
1	5625
2	9031	7392
3	9031	9031
4	12092	10590
5	12092	12092
6	14984	13555
7	14984	14984

Actual failure times	The total testing duration under the condition of error correction	The total testing duration without correction error
0	7392
1
2
3	12092	10590
4		10590
5		13555
6	16387	13555
7	16387	16387