| Citation: | Leandro Evangelista, Gustavo Lima, Bruno Brentan. 2026: Accelerating optimal operation of water distribution systems with surrogating models. Water Science and Engineering, 19(3): 445-454. doi: 10.1016/j.wse.2026.06.001 |
| [1] |
Abiodun, O.I., Jantan, A., Omolara, A.E., Dada, K.V., Mohamed, N.A., Arshad, H., 2018. State-of-the-art in artificial neural network applications: A survey. Heliyon 4(11), e00938. https://doi.org/10.1016/j.heliyon.2018.e00938.
|
| [2] |
Ahmed, A.A., Sayed, S., Abdoulhalik, A., Moutari, S., Oyedele, L., 2024. Applications of machine learning to water resources management: A review of present status and future opportunities. Journal of Cleaner Production 441, 140715. https://doi.org/10.1016/j.jclepro.2024.140715.
|
| [3] |
Awad, M., Zaid-Alkelani, M., 2019. Prediction of water demand using artificial neural networks models and statistical model. International Journal of Intelligent Systems and Applications 11(9), 40. https://doi.org/10.5815/ijisa.2019.09.05.
|
| [4] |
Bras, M., Moura, A., Andrade-Campos, A., 2026. A novel hybrid optimization approach for cost-efficient pump scheduling in water supply systems. Omega 138, 103378. https://doi.org/10.1016/j.omega.2025.103378.
|
| [5] |
Broad, D.R., Maier, H.R., Dandy, G.C., 2010. Optimal operation of complex water distribution systems using metamodels. Journal of Water Resources Planning and Management 136(4), 433-443. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000052.
|
| [6] |
Capelo, M., Brentan, B., Monteiro, L., Covas, D., 2021. Near-real time burst location and sizing in water distribution systems using artificial neural networks. Water 13(13), 1841. https://doi.org/10.3390/w13131841.
|
| [7] |
Carpitella, S., Brentan, B., Montalvo, I., Izquierdo, J., Certa, A., 2019. Multi-criteria analysis applied to multi-objective optimal pump scheduling in water systems. Water Supply 19(8), 2338-2346. https://doi.org/10.2166/ws.2019.115.
|
| [8] |
Creaco, E., Campisano, A., Fontana, N., Marini, G., Page, P.R., Walski, T., 2019. Real time control of water distribution networks: A state-of-the-art review. Water Research 161, 517-530. https://doi.org/10.1016/j.watres.2019.06.025.
|
| [9] |
Dandy, G., Wu, W., Simpson, A., Leonard, M., 2023. A review of sources of uncertainty in optimization objectives of water distribution systems. Water 15(1), 136. https://doi.org/10.3390/w15010136.
|
| [10] |
Eliades, D.G., Kyriakou, M.S., Vrachimis, S.G., Polycarpou, M., 2016. EPANET-MATLAB toolkit: An open-source software for interfacing EPANET with MATLAB. In: Proceedings of the 14th International Conference on Computing and Control for the Water Industry (CCWI). CCWI, Amsterdam.
|
| [11] |
Fiedler, F., Cominola, A., Lucia, S., 2020. Economic nonlinear predictive control of water distribution networks based on surrogate modeling and automatic clustering. IFAC-PapersOnLine 53(2), 16636-16643. https://doi.org/10.1016/j.ifacol.2020.12.793.
|
| [12] |
Garzon, A., Kapelan, Z., Langeveld, J., Taormina, R., 2022. Machine learning-based surrogate modeling for urban water networks: Review and future research directions. Water Resources Research 58(5), e2021WR031808. https://doi.org/10.1029/2021WR031808.
|
| [13] |
Haykin, S., 2007. Neural Networks: Principles and Practice. Bookman (in Portuguese).
|
| [14] |
Heller, L., de Padua, V.L., 2006. Water Supply for Consumption. Editora UFMG (in Portuguese).
|
| [15] |
Jacome, R.S., Anchieta, T., Brentan, B.M., Herrera, M., Galvan, X.D., Nevares, J.A.A., Rodriguez, J.M., 2025. Core-periphery structure for district metered area partitioning in urban water distribution systems. Water Science and Engineering 18(3), 262-273.
|
| [16] |
Kennedy, J., Eberhart, R., 1995. Particle swarm optimization. In: Proceedings of ICNN’95 - International Conference on Neural Networks. IEEE, Perth, pp.1942-1948. https://doi.org/10.1109/ICNN.1995.488968.
|
| [17] |
Kidanu, R.A., Cunha, M., Salomons, E., Ostfeld, A., 2023. Improving multi-objective optimization methods of water distribution networks. Water 15(14), 2561. https://doi.org/10.3390/w15142561.
|
| [18] |
Kurian, V., Chinnusamy, S., Natarajan, A., Narasimhan, S., Narasimhan, S., 2018. Optimal operation of water distribution networks with intermediate storage facilities. Computers & Chemical Engineering 119, 215-227. https://doi.org/10.1016/j.compchemeng.2018.04.017.
|
| [19] |
Li, Z., Liu, H., Zhang, C., Fu, G., 2024. Real-time water quality prediction in water distribution networks using graph neural networks with sparse monitoring data. Water Research 250, 121018. https://doi.org/10.1016/j.watres.2023.121018.
|
| [20] |
Luna, T., Ribau, J., Figueiredo, D., Alves, R., 2019. Improving energy efficiency in water supply systems with pump scheduling optimization. Journal of Cleaner Production 213, 342-356. https://doi.org/10.1016/j.jclepro.2018.12.190.
|
| [21] |
Mala-Jetmarova, H., Sultanova, N., Savic, D., 2017. Lost in optimisation of water distribution systems? A literature review of system operation. Environmental Modelling & Software 93, 209-254. https://doi.org/10.1016/j.envsoft.2017.02.009.
|
| [22] |
Meirelles, G., Manzi, D., Brentan, B., Goulart, T., Luvizotto, E., 2017. Calibration model for water distribution network using pressures estimated by artificial neural networks. Water Resources Management 31(13), 4339-4351. https://doi.org/10.1007/s11269-017-1750-2.
|
| [23] |
Meirelles, G., Brentan, B.M., 2019. Rational use of energy in water supply systems. Revista da Universidade Federal de Minas Gerais 26(1-2), 108-135 (in Portuguese). https://doi.org/10.35699/2316-770X.2019.12702.
|
| [24] |
Mota, S., Pereira, T.C., Sousa, A.L., Bras, M., Reis, A., Andrade-Campos, A., 2025. Differential machine learning model for simulation of water supply systems. Journal of Water Resources Planning and Management 151(9), 04025044. https://doi.org/10.1061/JWRMD5.WRENG-6698.
|
| [25] |
Ntiri Asomani, S., Yuan, J., Wang, L., Appiah, D., Adu-Poku, K.A., 2020. The impact of surrogate models on the multi-objective optimization of pump-as-turbine (PAT). Energies 13(9), 2271. https://doi.org/10.3390/en13092271.
|
| [26] |
Rossman, L.A., 2000. EPANET 2 User Manual. U.S. Environmental Protection Agency, Washington DC.
|
| [27] |
Saldarriaga, J.G., Ochoa, S., Nieto, L., Rodriguez, D., 2009. Methodology for the skeletonization of water distribution network models with demand aggregation. In: Integrating Water Systems. CRC Press, Boca Raton.
|
| [28] |
Salvino, L.R., Gomes, H.P., de Bezerra, S.T.M., 2022. Design of a control system using an artificial neural network to optimize the energy efficiency of water distribution systems. Water Resources Management 36(8), 2779-2793. https://doi.org/10.1007/s11269-022-03175-4.
|
| [29] |
Soares do Amaral, J.V., Montevechi, J.A.B., de Miranda, R.C., de Junior, W.T.S., 2022. Metamodel-based simulation optimization: A systematic literature review. Simulation Modelling Practice and Theory 114, 102403. https://doi.org/10.1016/j.simpat.2021.102403.
|
| [30] |
Surco, D.F., Vecchi, T.P.B., Ravagnani, M.A.S.S., 2017. Optimization of water distribution networks using a modified particle swarm optimization algorithm. Water Supply 18(2), 660-678. https://doi.org/10.2166/ws.2017.148.
|
| [31] |
van Dijk, M., van Vuuren, S.J., van Zyl, J.E., 2008. Optimising water distribution systems using a weighted penalty in a genetic algorithm. Water SA, 34(5), 537-548. https://hdl.handle.net/10520/EJC116570.
|
| [32] |
Walski, T.M., Brill, E.D., Gessler, J., Goulter, I.C., Jeppson, R.M., Lansey, K., Lee, H.-L., Liebman, J.C., Mays, L., Morgan, D.R., et al., 1987. Battle of the network models: Epilogue. J. Water Resour. Plann. Manag. 113(2), 191-203.
|