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Optimization and performance prediction of fault-tolerant repairable system in fuzzy environment with reboot, feedback, and retrial

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  • Kulwant, Aditya
  • Jain, Madhu
  • Chahal, Parmeet Kaur
  • Meena, Rakesh Kumar
  • Singh, Arvind Kumar

Abstract

This study investigates stochastic modeling of a repairable redundant fault-tolerant system with feedback policy, standby support, retrial, and reboot features. The steady-state queue size distributions are derived using a recursive approach. The queueing model is transformed from a crisp to a fuzzy environment through Zadeh’s extension principle and α-cut approach. Numerical simulations are conducted to analyze the system performance metrics with respect to diverse system parameters. The total expected cost of the fault-tolerant repairable system is established. Followed by sensitivity analysis and relative sensitivity analysis, we evaluate the system indices and their behavior corresponding to the system parameters. Furthermore, the cost is optimized using meta-heuristic approaches, namely Grey Wolf Optimization (GWO) and Particle Swarm Optimization (PSO). A practical illustration demonstrating the applicability of the proposed model, with a focus on the high-frequency trading systems in financial markets, is provided.

Suggested Citation

  • Kulwant, Aditya & Jain, Madhu & Chahal, Parmeet Kaur & Meena, Rakesh Kumar & Singh, Arvind Kumar, 2025. "Optimization and performance prediction of fault-tolerant repairable system in fuzzy environment with reboot, feedback, and retrial," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 238(C), pages 457-478.
    • Handle: RePEc:eee:matcom:v:238:y:2025:i:c:p:457-478
    DOI: 10.1016/j.matcom.2025.06.010
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    References listed on IDEAS

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    1. Jain, Madhu & Kumar, Pankaj & Singh, Mayank & Gupta, Ritu, 2024. "Cost optimization and reliability analysis of fault tolerant system with service interruption and reboot," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    2. Rani, Shobha & Jain, Madhu & Meena, Rakesh Kumar, 2023. "Queueing modeling and optimization of a fault-tolerant system with reboot, recovery, and vacationing server operating under admission control policy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 408-425.
    3. Chahal, Parmeet Kaur & Kumar, Kamlesh & Soodan, Bhavneet Singh, 2024. "Grey wolf algorithm for cost optimization of cloud computing repairable system with N-policy, discouragement and two-level Bernoulli feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 545-569.
    4. Sanga, Sudeep Singh & Charan, Gannamaneni Sai, 2023. "Fuzzy modeling and cost optimization for machine repair problem with retrial under admission control F-policy and feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 214-240.
    5. Thakur, Sonali & Jain, Anamika, 2025. "Markovian queueing model under Bernoulli vacation and servers’ malfunctioning: Metaheuristic optimization technique," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 231(C), pages 259-275.
    6. Chia-Jung Chang & Jau-Chuan Ke & Fu-Min Chang, 2018. "Unreliable retrial queue with loss and feedback under threshold-based policy," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 30(1), pages 1-20.
    7. Abdelhamid Bounemeur & Mohamed Chemachema, 2025. "Finite-time output-feedback fault tolerant adaptive fuzzy control framework for a class of MIMO saturated nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(4), pages 733-752, March.
    8. Wu, Chia-Huang & Yang, Dong-Yuh & He, Ting-En, 2024. "Matrix-augmentation approach for machine repair problem with generally distributed repair times during working breakdown periods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 1019-1038.
    9. Rakesh Kumar & Narendra Kumar Jain & Bhupernder Kumar Som, 2014. "Optimization of an M/M/1/N feedback queue with retention of reneged customers," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 45-58.
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