Fuzzy Membership Based Weighted Modularity Maximization Approach for Sectorization of Water Distribution Network into Dynamic District Metered Areas

Jyotsna Pandey () and Vemavarapu V. Srinivas ()
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Jyotsna Pandey: Indian Institute of Science, Department of Civil Engineering
Vemavarapu V. Srinivas: Indian Institute of Science, Department of Civil Engineering

Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), 2025, vol. 39, issue 15, No 16, 8198 pages

Abstract: Abstract A novel greedy algorithm-based approach is proposed for the sectorization of a Water Distribution Network (WDN) into compact dynamic District Metered Areas (DMAs) for effective pressure management to control leakage and contamination and expedite emergency repairs. The algorithm alleviates the limitations of the complex network theory-based modularity index (widely used for sectorization) by introducing (i) weights to account for differences in the hydraulic properties of pipes and (ii) fuzzy memberships to account for the multiple associations of nodes with different communities. A degree-centrality-based procedure is proposed for initializing and updating the memberships of nodes in different communities/clusters that evolve during sectorization. The proposed approach eliminates the requirement of prespecifying the number of communities to be formed. Furthermore, it yields partitions with fewer inter-community/boundary pipes, which improves system redundancy and network management and reduces the cost of sectorization. The efficacy and robustness of the proposed approach over the conventional unweighted crisp modularity method in yielding optimal DMAs (meeting hydraulic and water quality requirements) is illustrated through its application to three WDNs varying in size and topologic and hydraulic characteristics.

Keywords: Water distribution network; Sectorization; District metered area; Modularity index; Greedy algorithm (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11269-025-04337-w

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