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
Hlavní autoři: Brentan, Bruno M., Carpitella, Silvia, Izquierdo, Joaquín, Luvizotto, Edevar, Meirelles, Gustavo
Médium: Journal Article
Jazyk:angličtina
Vydáno: Freiburg Wiley Subscription Services, Inc 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.
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
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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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References 2018; 144
2018; 343
2008
2002; 2
2016; 30
2007
1995
1996; 95
2000; 2
2012; 39
2004
2016; 18
2011; 38
1995; 4
1972; 1
2019; 145
1983; 11
1979; PAMI‐1
2018; 2
2006; 20
2010; 24
1977; 15
1965; 8
2019; 24
2006; 27
2018; 159
2013; 139
2016; 65
2019
1985
2011; 43
2017
1981
2017; 143
1980
2011; 27
2018; 10
2012; 65
1969
2018; 15
2014; 11
Farmani R (e_1_2_6_45_1) 2004
e_1_2_6_10_1
e_1_2_6_31_1
Klir GJ (e_1_2_6_22_1) 1995
e_1_2_6_30_1
Durán O (e_1_2_6_40_1) 2006; 27
e_1_2_6_13_1
e_1_2_6_36_1
e_1_2_6_14_1
e_1_2_6_35_1
e_1_2_6_11_1
e_1_2_6_34_1
e_1_2_6_12_1
e_1_2_6_33_1
e_1_2_6_17_1
Brentan BM (e_1_2_6_32_1) 2017
e_1_2_6_18_1
e_1_2_6_39_1
e_1_2_6_38_1
e_1_2_6_16_1
e_1_2_6_37_1
e_1_2_6_42_1
e_1_2_6_43_1
e_1_2_6_21_1
e_1_2_6_41_1
Saaty TL (e_1_2_6_20_1) 1980
e_1_2_6_9_1
e_1_2_6_8_1
e_1_2_6_5_1
Chatzivasili S (e_1_2_6_15_1) 2018; 2
e_1_2_6_4_1
e_1_2_6_7_1
Van Laarhoven P (e_1_2_6_19_1) 1983; 11
e_1_2_6_6_1
e_1_2_6_25_1
e_1_2_6_24_1
e_1_2_6_3_1
e_1_2_6_23_1
e_1_2_6_2_1
e_1_2_6_29_1
e_1_2_6_44_1
e_1_2_6_28_1
e_1_2_6_27_1
e_1_2_6_26_1
References_xml – year: 1985
– volume: 24
  start-page: 4317
  issue: 15
  year: 2010
  end-page: 4338
  article-title: Optimal placement of isolation valves in water distribution systems based on valve cost and weighted average demand shortfall
  publication-title: Water Res Manag
– volume: 43
  start-page: 193
  issue: 2
  year: 2011
  end-page: 211
  article-title: A heuristic design support methodology based on graph theory for district metering of water supply networks
  publication-title: Eng Opt
– year: 1981
– volume: 1
  start-page: 146
  issue: 2
  year: 1972
  end-page: 160
  article-title: Depth‐first search and linear graph algorithms
  publication-title: SIAM J Comput
– volume: 139
  start-page: 184
  issue: 2
  year: 2013
  end-page: 190
  article-title: Automated creation of district metered area boundaries in water distribution systems
  publication-title: J Water Res Plan Manag
– volume: 24
  start-page: 1
  year: 2019
  end-page: 11
  article-title: Optimal pressure management in water distribution networks through district metered area creation based on machine learning
  publication-title: RBRH
– volume: 2
  start-page: 115
  issue: 2
  year: 2000
  end-page: 122
  article-title: Looped water distribution networks design using a resilience index based heuristic approach
  publication-title: Urban Water
– volume: 15
  start-page: 812
  issue: 8
  year: 2018
  end-page: 826
  article-title: Evolution of research on water leakage control strategies: where are we now?
  publication-title: Urban Water J
– start-page: 1
  year: 2007
  end-page: 13
– volume: 38
  start-page: 8553
  issue: 7
  year: 2011
  end-page: 8562
  article-title: An integrated fuzzy AHP–ELECTRE methodology for environmental impact assessment
  publication-title: Expert Syst Appl.
– volume: 27
  start-page: 1
  issue: 1
  year: 2006
  end-page: 17
  article-title: Selección de máquinas de control numérico usando Fuzzy AHP
  publication-title: Espacios
– volume: 39
  start-page: 2341
  issue: 3
  year: 2012
  end-page: 2354
  article-title: A combined fuzzy AHP and fuzzy TOPSIS based strategic analysis of electronic service quality in healthcare industry
  publication-title: Expert Syst Appl.
– volume: 65
  start-page: 1667
  issue: 9
  year: 2012
  end-page: 1675
  article-title: Decision support system to divide a large network into suitable district metered areas
  publication-title: Water Sci Technol
– volume: 95
  start-page: 649
  issue: 3
  year: 1996
  end-page: 655
  article-title: Application of the extent analysis method on fuzzy AHP
  publication-title: Eur J Oper Research
– volume: 39
  start-page: 61
  issue: 1
  year: 2012
  end-page: 67
  article-title: Fuzzy failure modes and effects analysis by using fuzzy TOPSIS‐based fuzzy AHP
  publication-title: Expert Syst Appl
– start-page: 1
  year: 2017
  end-page: 13
  article-title: Social network community detection for DMA creation: criteria analysis through multilevel optimization
  publication-title: Math Probl Engrg
– volume: 65
  start-page: 398
  year: 2016
  end-page: 422
  article-title: A state‐of the‐art survey & testbed of fuzzy AHP (FAHP) applications
  publication-title: Expert Syst Appl.
– volume: 18
  start-page: 62
  issue: 1
  year: 2016
  end-page: 76
  article-title: A flexible methodology to sectorize water supply networks based on social network theory concepts and multi‐objective optimization
  publication-title: J Hydroinf
– volume: 27
  start-page: 331
  issue: 2
  year: 2011
  end-page: 353
  article-title: Application of fuzzy AHP and ELECTRE to China dry port location selection
  publication-title: Asian J Shipp Logist
– volume: 343
  start-page: 98
  year: 2018
  end-page: 112
  article-title: Consistent clustering of entries in large pairwise comparison matrices
  publication-title: J Comput Appl Math
– volume: 144
  issue: 5
  year: 2018
  article-title: Social network community detection and hybrid optimization for dividing water supply into district metered areas
  publication-title: J Water Res Plan Manag.
– volume: 2
  start-page: 601
  issue: 11
  year: 2018
  article-title: Optimizing the formation of DMAs in a water distribution network applying geometric partitioning (GP) and Gaussian mixture models (GMMs)
  publication-title: Multidisciplinary Digital Publishing Institute Proceedings
– volume: 8
  start-page: 338
  issue: 3
  year: 1965
  end-page: 353
  article-title: Fuzzy sets
  publication-title: Inf Control
– volume: 145
  issue: 4
  year: 2019
  article-title: Battle of the water networks district metered areas
  publication-title: J Water Res Plan Manag.
– volume: 15
  start-page: 234
  issue: 3
  year: 1977
  end-page: 281
  article-title: A scaling method for priorities in hierarchical structures
  publication-title: J Math Psych
– year: 1980
– volume: 11
  start-page: 199
  issue: 1
  year: 1983
  end-page: 227
  article-title: A fuzzy extension of Saaty's priority theory
  publication-title: Fuzzy Set Syst
– volume: 159
  start-page: 754
  year: 2018
  end-page: 764
  article-title: A hybrid multicriteria approach to GPR image mining applied to water supply system maintenance
  publication-title: J Appl Geoph
– volume: 11
  start-page: 137
  issue: 2
  year: 2014
  end-page: 159
  article-title: A heuristic procedure for the automatic creation of district metered areas in water distribution systems
  publication-title: Urban Water J.
– volume: 4
  start-page: 1942
  year: 1995
  end-page: 1948
– volume: 10
  start-page: 444
  issue: 4
  year: 2018
  article-title: Topological taxonomy of water distribution networks
  publication-title: Water
– year: 1969
– year: 2004
– volume: 30
  start-page: 2021
  issue: 6
  year: 2016
  end-page: 2036
  article-title: Modularity‐based procedure for partitioning water distribution systems into independent districts
  publication-title: Water Resour Manag
– year: 1995
– volume: 20
  start-page: 133
  issue: 1
  year: 2006
  end-page: 149
  article-title: Pressure control for leakage minimisation in water distribution systems management
  publication-title: Water Res Manag.
– volume: 143
  issue: 6
  year: 2017
  article-title: Optimal design of district metering areas for the reduction of leakages
  publication-title: J Water Res Plan Manag.
– volume: 2
  start-page: 1051
  year: 2002
  end-page: 1056
– start-page: 1
  year: 2008
  end-page: 15
– volume: 144
  issue: 5
  year: 2018
  article-title: Clustering for analysis of water distribution systems
  publication-title: J Water Res Plan Manag.
– volume: 39
  start-page: 13051
  issue: 17
  year: 2012
  end-page: 13069
  article-title: A state‐of the‐art survey of TOPSIS applications
  publication-title: Expert Syst Appl.
– start-page: 110
  year: 2019
  end-page: 117
– volume: PAMI‐1
  start-page: 224
  issue: 2
  year: 1979
  end-page: 227
  article-title: A cluster separation measure
  publication-title: IEEE Trans Pattern Anal Mach Intell
– ident: e_1_2_6_12_1
  doi: 10.1061/(ASCE)WR.1943-5452.0000917
– volume-title: The Analytic Hierarchy Process: Planning, Priority Setting and Resource Allocation
  year: 1980
  ident: e_1_2_6_20_1
– ident: e_1_2_6_37_1
  doi: 10.1109/CEC.2002.1004388
– ident: e_1_2_6_23_1
  doi: 10.1016/j.eswa.2016.08.064
– ident: e_1_2_6_31_1
  doi: 10.1109/TPAMI.1979.4766909
– ident: e_1_2_6_14_1
  doi: 10.1007/s11269-016-1266-1
– ident: e_1_2_6_35_1
  doi: 10.1061/(ASCE)WR.1943-5452.0001035
– ident: e_1_2_6_11_1
  doi: 10.1061/40941(247)172
– ident: e_1_2_6_18_1
  doi: 10.1007/s11269-010-9661-5
– ident: e_1_2_6_28_1
  doi: 10.1007/978-3-642-48318-9
– ident: e_1_2_6_29_1
– volume: 11
  start-page: 199
  issue: 1
  year: 1983
  ident: e_1_2_6_19_1
  article-title: A fuzzy extension of Saaty's priority theory
  publication-title: Fuzzy Set Syst
– ident: e_1_2_6_30_1
  doi: 10.1590/2318-0331.241920180165
– ident: e_1_2_6_5_1
  doi: 10.1080/03052151003789858
– ident: e_1_2_6_39_1
  doi: 10.1016/j.jappgeo.2018.10.021
– ident: e_1_2_6_43_1
  doi: 10.1016/0022-2496(77)90033-5
– volume: 2
  start-page: 601
  issue: 11
  year: 2018
  ident: e_1_2_6_15_1
  article-title: Optimizing the formation of DMAs in a water distribution network applying geometric partitioning (GP) and Gaussian mixture models (GMMs)
  publication-title: Multidisciplinary Digital Publishing Institute Proceedings
– ident: e_1_2_6_34_1
  doi: 10.1016/S1462-0758(00)00049-2
– ident: e_1_2_6_42_1
  doi: 10.1016/j.eswa.2011.06.044
– ident: e_1_2_6_36_1
– ident: e_1_2_6_6_1
  doi: 10.1061/(ASCE)WR.1943-5452.0000247
– ident: e_1_2_6_38_1
  doi: 10.1007/978-94-015-7153-1
– ident: e_1_2_6_8_1
  doi: 10.3390/w10040444
– volume-title: Fuzzy Sets and Fuzzy Logic—Theory and Applications
  year: 1995
  ident: e_1_2_6_22_1
– ident: e_1_2_6_25_1
  doi: 10.1016/j.eswa.2011.01.057
– ident: e_1_2_6_13_1
  doi: 10.1080/1573062X.2013.768681
– ident: e_1_2_6_27_1
  doi: 10.1016/j.eswa.2012.05.056
– volume: 27
  start-page: 1
  issue: 1
  year: 2006
  ident: e_1_2_6_40_1
  article-title: Selección de máquinas de control numérico usando Fuzzy AHP
  publication-title: Espacios
– ident: e_1_2_6_9_1
  doi: 10.1137/0201010
– ident: e_1_2_6_21_1
  doi: 10.1016/S0019-9958(65)90241-X
– ident: e_1_2_6_16_1
  doi: 10.1061/(ASCE)WR.1943-5452.0000768
– ident: e_1_2_6_17_1
  doi: 10.1007/s11269-006-4635-3
– ident: e_1_2_6_24_1
  doi: 10.1016/j.eswa.2011.08.061
– volume-title: Modelling and Control for Participatory Planning and Managing Water Systems
  year: 2004
  ident: e_1_2_6_45_1
– ident: e_1_2_6_3_1
  doi: 10.2166/hydro.2015.146
– ident: e_1_2_6_44_1
  doi: 10.1016/j.cam.2018.04.041
– ident: e_1_2_6_33_1
  doi: 10.1061/40927(243)495
– ident: e_1_2_6_4_1
  doi: 10.1061/(ASCE)WR.1943-5452.0000924
– ident: e_1_2_6_10_1
  doi: 10.2172/4785039
– ident: e_1_2_6_41_1
  doi: 10.1016/0377-2217(95)00300-2
– ident: e_1_2_6_7_1
  doi: 10.2166/wst.2012.061
– start-page: 1
  year: 2017
  ident: e_1_2_6_32_1
  article-title: Social network community detection for DMA creation: criteria analysis through multilevel optimization
  publication-title: Math Probl Engrg
– ident: e_1_2_6_2_1
  doi: 10.1080/1573062X.2018.1547773
– ident: e_1_2_6_26_1
  doi: 10.1016/S2092-5212(11)80015-5
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Snippet The design of district metered areas (DMA) in potable water supply systems is of paramount importance for water utilities to properly manage their systems....
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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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Volume 45
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