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Journal of Information and Optimization Sciences cover
Hybrid ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis
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Open Access Research Article

Mathematical modeling for fault detection and anomaly identification in IoT networks

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pp. 2279–2289Vol. 46Issue 7October 2025DOI: 10.47974/JIOS-2131XML
Received:
04 Mar 2025
Published Online:
31 Oct 2025
Article type:
Research Article
Language:
EN
Article no.:
JIOS-2131
Pages:
2279–2289

Abstract

The exponential increase in IoT networks and devices raises a lot of challenges in achieving system dependability and efficiency especially in fault diagnosis and anomaly detection. The current research work proposes a statistical modeling framework that aims to tackle these challenges using time series analysis and regression models as well as Mahalanobis distance for real-time anomaly identification. The idea behind the proposed method is to identify aberrations in normal system functions, making it possible to offer a scalable solution for an IoT ecosystem. The comparison with results of the traditional anomaly detection shows that the presented approach provides better accuracy by 15% and recall by 20%. Also, the method is able to detect anomalies within a latency of under 2 seconds which is suitable in applications with strict response time. The flexibility of the proposed approach can be seen from the easy implementation in large data sets and flexibility to real networks’ conditions. The implication drawn from the findings indicates that statistical modeling makes IoT networks more reliable and secure.

Keywords

Subject Classifications

94A6020C0520C07

References

[1] M. Ibrahim and K. Saleem, “IoT Network Anomaly Detection in Smart Homes Using Machine Learning,” IEEE Access, vol. 11, pp. 119462–119480 (2023).
[2] K. Mithran and C. Gopi, “Anomaly Detection in IoT Sensor Networks Using Machine Learning,” in Proc. 2022 Int. Conf. Computing, Communication, Security and Intelligent Systems (IC3SIS), Kochi, India, pp. 1–7 (2022).
[3] S. A. Schober, C. Carbonelli, and R. Wille, “An IoT-Based Anomaly Detection and Identification Approach for Gas Sensor Networks,” in Proc. 2023 IEEE Int. Workshop on Metrology for Industry 4.0 & IoT (MetroInd4.0&IoT), Brescia, Italy, pp. 415–420 (2023).
[4] S. F. Chevtchenko, E. D. S. Rocha, M. C. M. Dos Santos, R. L. Mota, D. M. Vieira, E. C. de Andrade, and D. R. B. de Araújo, “Anomaly Detection in Industrial Machinery Using IoT Devices and Machine Learning: A Systematic Mapping,” IEEE Access, vol. 11, pp. 128288–128305 (2023).
[5] M. A. Shoorehdeli and A. Jolfaei, “Detection of Anomalies in Industrial IoT Systems by Data Mining: Study of CHRIST Osmotron Water Purification System,” IEEE Internet of Things Journal, vol. 8, no. 13, pp. 10280–10287 (2021).
[6] G. Manivasagam and K. D. V. Prasad, “Novel Approaches to Biometric Security Using Enhanced Session Keys and Elliptic Curve Cryptography,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 2-A, pp. 477–488 (2024).
[7] R. Senthil Kumar and K. D. V. Prasad, “Securing Digital Authentication with Cryptographic Innovations in Intrinsic Verification Systems,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 2-A, pp. 317–328 (2024).
[8] T. Thiruvenkadam and K. D. V. Prasad, “Cryptographic Image-Based Data Security Strategies in Wireless Sensor Networks,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 2-A, pp. 293–304 (2024).
[9] P. Sarma and M. Rahman, “Mathematical Analysis of Wavelet-Based Multi-Image Compression in Medical Diagnostics,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 27, no. 2-B, pp. 675–687 (2024).
[10] S. Kumar and A. K. Gupta, “A Novel Approach of Unsupervised Feature Selection Using Iterative Shrinking and Expansion Algorithm,” Journal of Interdisciplinary Mathematics, vol. 26, no. 3, pp. 519–530 (2023).
[11] Naziya and V. S. Chinamuttevi, “A Novel RF-SMOTE Model to Enhance the Definite Apprehensions for IoT Security Attacks,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 26, no. 3, pp. 861–873 (2023).
[12] R. Shekhar and A. Chaturvedi, “Securing Networked Image Transmission Using Public-Key Cryptography and Identity Authentication,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 26, no. 3, pp. 779–791 (2023).
[13] H. G. Govardhana Reddy and K. Raghavendra, “Vector Space Modelling-Based Intelligent Binary Image Encryption for Secure Communication,” Journal of Discrete Mathematical Sciences and Cryptography, vol. 25, no. 4, pp. 1157–1171 (2022).
[14] N. K. Sahu and I. Mukherjee, “Machine Learning-Based Anomaly Detection for IoT Network: (Anomaly Detection in IoT Network),” in Proc. 2020 4th Int. Conf. Trends in Electronics and Informatics (ICOEI), Tirunelveli, India, pp. 787–794 (2020).
[15] V.-D. Nguyen and W. Heyne, “A Comprehensive Study of Anomaly Detection Schemes in IoT Networks Using Machine Learning Algorithms,” Sensors, vol. 21, no. 24, p. 8320 (2021).
[16] S. Ganesan and R. Patan, “Effective Attack Detection in Internet of Medical Things Smart Environment Using a Deep Belief Neural Network,” IEEE Access, vol. 8, pp. 77396–77404 (2020).
[17] M. Mosbah, A. Zemmari, C. Sauvignac, and P. Faruki, “Network Intrusion Detection for IoT Security Based on Learning Techniques,” IEEE Communications Surveys & Tutorials, vol. 21, no. 3, pp. 2671–2701 (2019).
[18] M. A. Khan and K. Salah, “IoT Security: Review Blockchain Solutions and Open Challenges,” Future Generation Computer Systems, pp. 395–411 (2018).

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