A mathematical modeling framework for software reliability testing

doi:10.1080/03081070600957939

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	A mathematical modeling framework for software reliability testing
	Cai, Kai-Yuan ; Dong, Zhao ; Liu, Ke; Bai, Cheng-Gang
	2007
发表期刊	INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
ISSN	0308-1079
卷号	36 期号:4 页码:399-463
摘要	Software reliability testing refers to various software testing activities that are driven to achieve a quantitative reliability goal given a priori or lead to a quantitative reliability assessment for the software under test. In this paper we develop a modeling framework for the software reliability testing process, comprising a simplifying model and a generalized model. In both models the software testing action selection process and the defect removal mechanism are explicitly described. Both the discrete-time domain and the continuous-time domain are involved. The generalized model is more accurate or realistic than the simplifying model since the former avoids the assumption that defects are equally detectable and the assumption that defects are removed upon being detected. However simulation examples show that the simplifying model really captures some of essential features of the software testing process after a short initial testing stage. The modeling framework is practically realistic, mathematically rigorous, and quantitatively precise. It demonstrates that the relationship between software testing and delivered software reliability, which was poor understood, can well be formulated and quantified. Rigorous examinations show that several common assumptions adopted in software reliability modeling, including the independence assumption, the exponentiality assumption, and the NHPP assumption, are theoretically false in general. This paper sets a good starting point to further formalize and quantify the software testing process and its relation to delivered software reliability.
关键词	software testing software reliability Markov usage model based testing software testing stability
DOI	10.1080/03081070600957939
语种	英语
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Theory & Methods ; Ergonomics
WOS记录号	WOS:000246267500002
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4593
专题	应用数学研究所
通讯作者	Cai, Kai-Yuan
作者单位	1.Beijing Univ Aeronaut & Astronaut, Dept Automat Control, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Cai, Kai-Yuan,Dong, Zhao,Liu, Ke,et al. A mathematical modeling framework for software reliability testing[J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,2007,36(4):399-463.
APA	Cai, Kai-Yuan,Dong, Zhao,Liu, Ke,&Bai, Cheng-Gang.(2007).A mathematical modeling framework for software reliability testing.INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,36(4),399-463.
MLA	Cai, Kai-Yuan,et al."A mathematical modeling framework for software reliability testing".INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 36.4(2007):399-463.