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

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-07-04 DOI:10.1016/j.matcom.2025.06.010

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

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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.

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具有重启、反馈和重审的模糊环境下容错可修系统的优化与性能预测

本研究探讨了一个具有反馈策略、备用支持、重审和重启特征的可修复冗余容错系统的随机建模。使用递归方法推导出稳态队列大小分布。通过Zadeh的可拓原理和α-切方法，将排队模型从清晰环境转化为模糊环境。通过数值模拟分析了不同系统参数下的系统性能指标。建立了容错可修系统的总期望成本。通过灵敏度分析和相对灵敏度分析，对系统参数对应的系统指标及其行为进行了评价。在此基础上，采用灰狼算法（GWO）和粒子群算法（PSO）对成本进行优化。提供了一个实际的例子来证明所提出模型的适用性，重点是金融市场中的高频交易系统。

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.