The Network Flow Problem is a mathematical optimization issue that involves finding the most efficient way to transport goods through a network. This network consists of nodes (or points) connected by edges (or paths), each with a certain capacity that limits the amount of flow that can pass through. The goal is to maximize the flow from a designated source node to a target sink node while respecting these capacity constraints. To solve the Network Flow Problem, various algorithms can be employed, such as the Ford-Fulkerson method or the Edmonds-Karp algorithm. These methods systematically explore possible flows and adjust them to find the optimal solution. This problem has applications in logistics, telecommunications, and transportation, making it a vital area of study in operations research and computer science.