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An optimization technique is presented for use in planning and designing looped water distribution systems. The technique is iterative, employing linear programming and a gradient procedure; and it produces a locally optimal solution. A demonstration using data for the New York City water supply system, shows a potential cost saving of 13 percent for the solution obtained using the new method, in comparison to the best design developed in an earlier study.
Quindry et al. (Sat,) studied this question.