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A presentation of the first complete, unified mathematical treatment of a class of problems involving circulatory flows in networks with capacity constraints. The problems discussed range from determining the least cost of transporting a commodity from points of supply ("source") to points of demand ("sinks") to ascertaining the least time for an airplane to climb to altitude. A presentation of the first complete, unified mathematical treatment of a class of problems involving circulatory flows in networks with capacity constraints. The problems discussed range from determining the least cost of transporting a commodity from points of supply ("source") to points of demand ("sinks") to ascertaining the least time for an airplane to climb to altitude.

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