Volume 19 Issue 3
Sep.  2026
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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
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

Accelerating optimal operation of water distribution systems with surrogating models

doi: 10.1016/j.wse.2026.06.001
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This work was supported by the National Council for Scientific and Technological Development (CNPq) through the Productivity Scholarship PQ- 2 (Call No. 04/2021) and the PhD scholarship funded by the Coordination for the Improvement of Higher Education Personnel (CAPES).

  • Received Date: 2025-10-14
  • Accepted Date: 2026-05-06
  • Pump operation in water distribution networks (WDNs) represents a major portion of energy consumption in water supply systems, rendering operational optimization a critical task. Conventional optimization approaches depend on hydraulic simulators to evaluate objective functions and constraints, yet the associated computational burden can restrict their use in real-time or near-real-time contexts. This study evaluated the feasibility and implications of substituting hydraulic simulators with artificial neural network (ANN)-based metamodels within pump operation optimization processes. Three feedforward multilayer perceptron neural networks were developed to predict pump energy consumption, tank levels, and minimum network pressure, and were integrated into the particle swarm optimization (PSO) algorithm as replacements for the hydraulic simulator. The proposed PSO–ANN framework was assessed using the Anytown benchmark network and compared with the conventional PSO algorithm coupled with the EPANET simulator. A total of 100 independent optimization runs were conducted for each approach, enabling a statistically robust comparison. The results indicated that the ANN-based approach consistently yielded hydraulically feasible solutions, with minimum pressures above required thresholds and tank levels maintained within acceptable operational ranges. However, the surrogate-based optimization exhibited a more conservative behavior, resulting in average operational costs approximately 8% higher than those achieved with the simulator-based approach. Despite this reduction in economic optimality, the significant reduction in evaluation time highlights the potential of ANN-based metamodels for real-time applications and decision-support contexts in which computational efficiency is paramount.

     

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  • [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.
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