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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 11 | Year 2025 | Article Id. IJMTT-V71I11P101 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I11P101

Reliability Advancement and Availability Improvement of Industrial Systems using RPGT and Metaheuristic Algorithms


Savita Garg, Rachna Aggarwal, Shilpa Rani, Neetu Rani, Diksha Mangla
Received Revised Accepted Published
04 Sep 2025 18 Oct 2025 03 Nov 2025 17 Nov 2025
Citation :

Savita Garg, Rachna Aggarwal, Shilpa Rani, Neetu Rani, Diksha Mangla, "Reliability Advancement and Availability Improvement of Industrial Systems using RPGT and Metaheuristic Algorithms," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 11, pp. 1-6, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I11P101

Abstract
This paper investigates the optimization of reliability and availability using the Regenerative Point Graphical Technique (RPGT). The study mainly focuses on system performance by systematically analyzing failure and repair rates through nature-inspired algorithms using Genetic Algorithm (GA), Particle Swarm Optimization (PSO), and Cuckoo Search Algorithm (CSA). A Markovian state model is developed to represent transitions between operational and failed states to compute reliability metrics such as Mean Time to System Failure (MTSF) and the system’s availability. Mean sojourn times and transition probabilities are derived to solve state distributions. The methodology set a dataset comprising parameters such as workload, failure rate, and repair rate. Sensor index, which collectively determines maintenance priority, enables predictive maintenance strategies. The optimization framework employing GA, PSO, and CSA can effectively optimize failure and repair parameters, improving system reliability and operational continuity. Comparative analysis highlights the efficiency and behavior of each algorithm, as well as the trade-offs between exploration and exploitation in the optimization process.
Keywords
Availability Analysis, Cuckoo Search Algorithm, Genetic Algorithm, Particle Swarm Optimization, System performance optimization.
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