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15. Maxflow problem | Optimization using Excel

This is the 15th video of the lecture series Optimization using Excel. Here we have discussed how to formulate and solve a maximum flow (Maxflow) network problem. The objective is to maximize the total flow from the source to the destination node given the capacity constraints of the different routes of the network. Both algebraic formulation ...

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$In a standard s-t Maximum-Flow Problem, we assume edges have capaci ties, and there is no limit on how much flow is allowed to pass through a node. In this problem, we consider the variant of the Maximum-Flow and Minimum-Cut problems with node capacities. Let G=(V, E) be a directed graph, with source s ∈V, sink t ∈V, and nonnegative node capacities {cv ≥0} for each v ∈V. Given a flow f in this graph, the flow though a node v is defined as f^in (v). We say that a flow is feasible if it satisfies$