In a maximum flow problem, the goal is to determine the maximum amount of flow that can be sent from a source node to a sink node in a network. One example of a solved maximum flow problem is the Ford-Fulkerson algorithm applied to a transportation network where the source node represents a factory and the sink node represents a warehouse. The algorithm calculates the maximum amount of goods that can be transported from the factory to the warehouse through various paths in the network, taking into account the capacities of the edges connecting the nodes.
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