## Abstract

This work presents an algorithm for water distribution systems water age clustering. The objective is to cluster a distribution system into water age sub-zones whose water age variability is minimized within each cluster. The algorithm stages are: (1) water age computation for each system node, (2) kick-off at a number of clusters equal to the number of nodes (i.e., each node initially acts as a cluster), (3) search for the two connected (by link) clusters which have the smallest absolute water age difference, and combine them into a single cluster; characterize their water age value as the weighted arithmetic mean of the two clusters, and (4) repeat step 3 until all nodes are lumped into a single cluster (i.e., the entire water distribution system). The algorithm thus spans all possible clusters starting from the total number of system nodes and up to a one cluster which holds the entire system layout. The model, through a clustering numbering trade-off, is demonstrated on a mid-size water distribution system.

Original language | English |
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Pages (from-to) | 470-474 |

Number of pages | 5 |

Journal | Procedia Engineering |

Volume | 186 |

DOIs | |

State | Published - 2017 |

Externally published | Yes |

Event | 18th International Conference on Water Distribution Systems, WDSA 2016 - Cartagena, Colombia Duration: 24 Jul 2016 → 28 Jul 2016 |

### Bibliographical note

Publisher Copyright:© 2016 The Authors. Published by Elsevier Ltd.

## Keywords

- Water distribution system
- clustering
- water age

## ASJC Scopus subject areas

- General Engineering