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A linear programming solution is presented for the problem of selecting optimal pipe diameters, and head at the source for a water distribution network. The water discharge and pressure requirements at all points in the system are assumed to be known and remain constant, and the configuration of the network connecting the points to the single source is regarded as given. Solution of the model using a digital computer yields the combination of diameters and lengths of pipes for all sections of the network and the required head at the source to minimize the total cost of the system.
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Karmeli et al. (1968) studied this question.
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