District metered area design through multicriteria and multiobjective optimization
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 i...
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| Vydáno v: | Mathematical methods in the applied sciences Ročník 45; číslo 6; s. 3254 - 3271 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Freiburg
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01.04.2022
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| ISSN: | 0170-4214, 1099-1476 |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Meirelles, Gustavo Luvizotto, Edevar Brentan, Bruno M. Carpitella, Silvia Izquierdo, Joaquín |
| Author_xml | – sequence: 1 givenname: Bruno M. orcidid: 0000-0003-0616-2281 surname: Brentan fullname: Brentan, Bruno M. email: brentan@ehr.ufmg.br organization: Federal University of Minas Gerais—UFMG – sequence: 2 givenname: Silvia orcidid: 0000-0003-0171-2504 surname: Carpitella fullname: Carpitella, Silvia organization: Czech Academy of Sciences – sequence: 3 givenname: Joaquín orcidid: 0000-0002-6625-7226 surname: Izquierdo fullname: Izquierdo, Joaquín organization: Universitat Politècnica de València – sequence: 4 givenname: Edevar surname: Luvizotto fullname: Luvizotto, Edevar organization: University of Campinas – sequence: 5 givenname: Gustavo orcidid: 0000-0002-1971-3970 surname: Meirelles fullname: Meirelles, Gustavo organization: Federal University of Minas Gerais—UFMG |
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| Cites_doi | 10.1061/(ASCE)WR.1943-5452.0000917 10.1109/CEC.2002.1004388 10.1016/j.eswa.2016.08.064 10.1109/TPAMI.1979.4766909 10.1007/s11269-016-1266-1 10.1061/(ASCE)WR.1943-5452.0001035 10.1061/40941(247)172 10.1007/s11269-010-9661-5 10.1007/978-3-642-48318-9 10.1590/2318-0331.241920180165 10.1080/03052151003789858 10.1016/j.jappgeo.2018.10.021 10.1016/0022-2496(77)90033-5 10.1016/S1462-0758(00)00049-2 10.1016/j.eswa.2011.06.044 10.1061/(ASCE)WR.1943-5452.0000247 10.1007/978-94-015-7153-1 10.3390/w10040444 10.1016/j.eswa.2011.01.057 10.1080/1573062X.2013.768681 10.1016/j.eswa.2012.05.056 10.1137/0201010 10.1016/S0019-9958(65)90241-X 10.1061/(ASCE)WR.1943-5452.0000768 10.1007/s11269-006-4635-3 10.1016/j.eswa.2011.08.061 10.2166/hydro.2015.146 10.1016/j.cam.2018.04.041 10.1061/40927(243)495 10.1061/(ASCE)WR.1943-5452.0000924 10.2172/4785039 10.1016/0377-2217(95)00300-2 10.2166/wst.2012.061 10.1080/1573062X.2018.1547773 10.1016/S2092-5212(11)80015-5 |
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| SubjectTerms | Algorithms Analytic hierarchy process Chemical partition Clustering Control equipment Decision making Design modifications Design optimization district metered areas Drinking water fuzzy AHP Graph theory Heuristic methods k‐means algorithm Mathematical analysis metaheuristic multiobjective optimization Multiple criterion Multiple objective analysis Optimization Pareto optimization Particle swarm optimization Partitioning TOPSIS Water distribution water distribution systems Water engineering Water quality Water supply systems Water utilities |
| Title | District metered area design through multicriteria and multiobjective optimization |
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