0545777 20230418204241.120210923235959.9 85099089762 000606486400001 10.1002/mma.7090 18 s. P cav_un_epca*02572240170-4214456 (2022)3254-3271Wiley decision making district metered areas fuzzy AHP graph theory k-means algorithm metaheuristic multiobjective optimization TOPSIS water distribution systems cav_un_auth*0409525 Brentan B. BR cav_un_auth*0398866 Carpitella Silvia UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR IT Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0256480 Izquierdo J. ES cav_un_auth*0414166 Luvizotto E. BR cav_un_auth*0409527 Meirelles G. BR http://library.utia.cas.cz/separaty/2021/MTR/carpitella-0545777.pdf https://onlinelibrary.wiley.com/doi/10.1002/mma.7090 The design of district metered areas (DMA) in potable water supply systems is of paramount importance for water utilities to properly manage their systems. Concomitant to their main objective, namely, to deliver quality water to consumers, the benefits include leakage reduction and prompt reaction in cases of natural or malicious contamination events. Given the structure of a water distribution network (WDN), graph theory is the basis for DMA design, and clustering algorithms can be applied to perform the partitioning. However, such sectorization entails a number of network modifications (installing cut-off valves and metering and control devices) involving costs and operation changes, which have to be carefully studied and optimized. Given the complexity of WDNs, optimization is usually performed using metaheuristic algorithms. In turn, optimization may be single or multiple-objective. In this last case, a large number of solutions, frequently integrating the Pareto front, may be produced. The decision maker has eventually to choose one among them, what may be tough task. Multicriteria decision methods may be applied to support this last step of the decision-making process. In this paper, DMA design is addressed by (i) proposing a modified k-means algorithm for partitioning, (ii) using a multiobjective particle swarm optimization to suitably place partitioning devices, (iii) using fuzzy analytic hierarchy process (FAHP) to weight the four objective functions considered, and (iv) using technique for order of preference by similarity to ideal solution (TOPSIS) to rank the Pareto solutions to support the decision. This joint approach is applied in a case of a well-known WDN of the literature, and the results are discussed. WOS JS 20000 20300 20306 2023 5 RVO:67985556 http://hdl.handle.net/11104/0322771 S Article Mathematics Applied C MATHEMATICS.APPLIED 2.3 0.6 2.9 0.01766 0.517 12806 0.628 2.700 902 Q1 89.3 Q3 Q2 1.49 Q1 89.3 2022 85099089762 SCOPUS PUBMED 000606486400001 WOS cav_un_epca*0257224 Mathematical Methods in the Applied Sciences 0170-4214 1099-1476 Roč. 45 č. 6 2022 3254 3271 Wiley