An NHPP software reliability model with a fault detection rate function of the Burr type XII distribution†
Kwang Yoon Song1 · Youn Su Kim2 · In Hong Chang3
13Department of Computer Science and Statistics, Chosun University
2Department of Computer Science and Statistics, Graduate School, Chosun University
2Department of Computer Science and Statistics, Graduate School, Chosun University
Correspondence to: † This study was supported by research funds from Chosun University, 2022.
1 Researcher professor, Department of Computer Science and Statistics, Chosun University, Gwangju 61452, Korea.
2 Ph. D. candidate, Department of Computer Science and Statistics, Graduate School, Chosun University, Gwangju 61452, Korea.
3 Professor, Department of Computer Science and Statistics, Chosun University, Gwangju 61452, Korea. E-mail: ihchang@chosun.ac.kr
1 Researcher professor, Department of Computer Science and Statistics, Chosun University, Gwangju 61452, Korea.
2 Ph. D. candidate, Department of Computer Science and Statistics, Graduate School, Chosun University, Gwangju 61452, Korea.
3 Professor, Department of Computer Science and Statistics, Chosun University, Gwangju 61452, Korea. E-mail: ihchang@chosun.ac.kr
Received October 11, 2022; Revised October 26, 2022; Accepted October 27, 2022.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Abstract
- The software reliability model is developed considering the number of software failures and the interval time between failures, and is a very useful model for predicting software failures that may occur in the future. In most existing software reliability model, the mean value function is considered to follow a non-homogeneous Poisson process (NHPP). NHPP software reliability model has a mean value function that considers the failure intensity, detection rate, number of remaining failures, and various environments. The Burr distribution can fit a wide range of empirical data. In addition, it was proposed several types of the cumulative functions and has stressed the advantages obtained by the direct use of the cumulative function. The Burr type XII distribution is a continuous probability distribution for a non-negative random variable. In this paper, we propose a new software reliability model with a fault detection rate function of the Burr type XII distribution based on NHPP. We show that the NHPP software reliability model proposed through various criteria shows much better the goodness-of-fit than other existing NHPP software reliability models.
- Keywords : Burr distribution, fault detection rate, non-homogeneous Poisson process, software reliability.
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