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Abstract

Calculating the reliability of complex systems is an urgent matter that deserves attention due to its wide applications, ranging from engineering and economic sciences to applications in medical fields Traditional methods often suffer from computational complexity when dealing with large systems when calculating their reliability. This paper presents a new method to calculate and improve the reliability of highly complex systems. Furthermore, the proposed methodology combines the principles of system reliability analysis and optimization techniques to determine the optimal means for a system that increases reliability. A mathematical optimization approach was employed to undertake the task of improving the reliability of the system without complicating the calculations. By formulating the problem as an optimization task, the reliability of vehicles is optimized to meet specified reliability constraints. The effectiveness of this approach is demonstrated by experimental evaluations on various complex systems, demonstrating significant improvements in system reliability. This new approach was tested on an entire highly complex network of 1,225 vehicles, and the results were very acceptable. Finally, the proposed method was applied and numerical optimization results were obtained using the programming language Python version 3.12.2.

Keywords

Complex systems, Component reliabilities, Optimization-based approach, Reliability optimization, System reliability

Subject Area

Mathematics

Article Type

Article

First Page

997

Last Page

1004

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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