### Abstract

Original language | English |
---|---|

Journal | Mathematical Programming |

Volume | 52 |

Issue number | 1 |

Pages (from-to) | 45-58 |

ISSN | 0025-5610 |

DOIs | |

Publication status | Published - 1991 |

### Keywords

- Gas and water distribution networks
- Sequential linear programming
- Trust regions
- Sparse matrix techniques

### Cite this

*Mathematical Programming*,

*52*(1), 45-58. https://doi.org/10.1007/BF01582879

}

*Mathematical Programming*, vol. 52, no. 1, pp. 45-58. https://doi.org/10.1007/BF01582879

**Optimization of Pipe Networks.** / Hansen, Claus Thorp; Madsen, Kaj; Nielsen, Hans Bruun.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - Optimization of Pipe Networks

AU - Hansen, Claus Thorp

AU - Madsen, Kaj

AU - Nielsen, Hans Bruun

PY - 1991

Y1 - 1991

N2 - 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

AB - 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

KW - Gas and water distribution networks

KW - Sequential linear programming

KW - Trust regions

KW - Sparse matrix techniques

U2 - 10.1007/BF01582879

DO - 10.1007/BF01582879

M3 - Journal article

VL - 52

SP - 45

EP - 58

JO - Mathematical Programming

JF - Mathematical Programming

SN - 0025-5610

IS - 1

ER -