Network flow theory encompasses maximal flow problem as a pivotal optimization paradigm, characterized by its broad and diverse range of applications. Existing methodologies for finding maximum flow suffer from limitations including high time and space complexity, complex implementation and performance variability. Additionally, they may require non-trivial setup, handle edge cases sub optimally, and incur significant overhead. The current frameworks for network optimization find it difficult to handle the dynamic complexity of contemporary network settings. Scalability, real-world applicability, and flexibility in response to shifting network conditions are lacking in the current approaches. Network-wide comprehensive maximum flow determination requires a unified framework that integrates optimization approaches. This evolving study offers a new method for deciding the maximum flow between a network’s starting and ending points, utilizing the fundamentals of maximum flow theory. In addition, our presented technique is strengthened with blockchain-enabled secure and diaphanous data management, AI-driven predictive analytics for enhanced network flow, and IoT-upgraded real-time data processing and network transformation. This approach performs excellently with minimum repetitions, improving its efficiency. This investigation gives a Python-based solution to the maximum flow problem, employing the NumPy, NetworkX and matplotlib libraries.
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