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
In a standard s-t Maximum-Flow Problem, we assume edges have c…
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SOLVED:The graph shows the flow rate of water at a pumping station for one day. (a) Approximate the maximum flow rate at the pumping station. At what time does this occur? (b) Explain how you can find the amount of water used during the day. (c) Approximate the two-hour period when the least amount of water is used. Explain your reasoning.
SOLVED:The graph shows the flow rate of water at a pumping station …
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