Abstract
The paper treats a piping system, where the layout of the network is given but the diameters of the pipes should be chosen among a small number of different values. The cost of realizing the system should be minimized while keeping the energy heads at the nodes above some lower limits. A new algorithm using successive linear programming is presented. The performance of the algorithm is illustrated by optimizing a network with 201 pipes and 172 nodes. It is concluded that the new algorithm seems to be very efficient and stable, and that it always finds a solution with a cost near the best possible.
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Hansen, C.T., Madsen, K. & Nielsen, H.B. Optimization of pipe networks. Mathematical Programming 52, 45–58 (1991). https://doi.org/10.1007/BF01582879
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DOI: https://doi.org/10.1007/BF01582879