ORIGINAL RESEARCH article
Front. Appl. Math. Stat.
Sec. Statistics and Probability
Volume 11 - 2025 | doi: 10.3389/fams.2025.1669066
Software Reliability Modeling for Fault Detection and Fault Correction Processes considering Burr Type X Testing Effort Function
Provisionally accepted
- Tilka Manjhi Bhagalpur University, Bhagalpur, India
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Software reliability analysis is vital for evaluating software quality, where reliability is the probability of failure operation of a system for a specified duration. Numerous SRGMs have been proposed, mainly based on the NHPP to enhance the reliability of software product. A key aspect of software reliability modelling involves the FDP and FCP, both of which are vital for understanding and predicting software performance. These models have evolved to consider dependencies between FD and FC, time delay effects, and testing effort consumption, thereby refining predictions and providing robust reliability estimates. In this paper, we first provide a comprehensive review of the last four decades of research on software reliability modeling, focusing on methods proposed for predicting software reliability through FDP and FCP. We then present the FDP and FCP for imperfect debugging considering BTXTEF. Two specific paired FDP and FCP models are proposed with BTXTEF. The proposed SRGM with BTXTEF contains some undetermined parameters. We use PSO to optimize these parameters on an actual dataset rather than using traditional estimation methods. We compare the performance of the proposed SRGM model, in relation to other existing models from the literature. The results reveal that the proposed SRGM with BTXTEF for FDP and FCP is highly effective and outperforms existing models. coefficient of determination for fault detection process 𝑅 𝑐 2 coefficient of determination for fault correction process
Keywords: Software reliability growth model (SRGM)1, fault detection process (FCP)2, fault correction process (FDP)3, mean value function (MVF)4, particle swarm optimization (PSO)5
Received: 18 Jul 2025; Accepted: 14 Aug 2025.
Copyright: © 2025 Kumar, Ahmad, Ahmad and Kumar. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: Kaushal Kumar, Tilka Manjhi Bhagalpur University, Bhagalpur, India
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