Technical Papers
Jan 22, 2021

DMA Segmentation and Multiobjective Optimization for Trading Off Water Age, Excess Pressure, and Pump Operational Cost in Water Distribution Systems

Publication: Journal of Water Resources Planning and Management
Volume 147, Issue 4

Abstract

This study presents a heuristic multiobjective approach for segmenting and operating water distribution systems (WDS). The methodology employs a two-pronged strategy: the first is a heuristic method for dividing the network into clusters (i.e., district metering areas) based on connectivity analysis. The second is the application of the evolutionary multiobjective optimization method non-dominated sorting genetic algorithm (NSGA)-II for trading off the operational cost, excess pressure (serving as a proxy to leakage reduction), and water age (acting as a surrogate to water quality) in the WDS. Three example applications of increasing complexities with various cluster partitioning are explored, showing a clear trade-off among the objectives. This study introduces an unprecedented heuristic approach for jointly solving the multiobjective problem under a given system partitioning. However, by enforcing a priori clustering formation (rather than including it in the optimization), optimality, completeness, and precision are compromised in favor of computational speed and effort. Thus, additional sensitivities need to be conducted outside of the optimization for the clusters’ impact. Challenges of extending this study are in embedding the clusters’ formations in the optimization considering other objectives such as residual capacity, developments of other optimization frameworks outside of the generic link of simulation-optimization, and uncertainty inclusion (e.g., in demands). All data and codes are included for allowing full replications and comparisons.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

Financial support from the Deutsche Forschungsgemeinschaft (DFG) to this work is gratefully acknowledged, as well as from the Israel Science Foundation (Grant No. 555/18).

References

Ali, M. E. 2015. “Knowledge-based optimization model for control valve locations in water distribution networks.” J. Water Resour. Plann. Manage. 141 (1): 04014048. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000438.
Araujo, L. S., H. Ramos, and S. T. Coelho. 2006. “Pressure control for leakage minimization in water distribution systems management.” Water Resour. Manage. 20 (1): 133–149. https://doi.org/10.1007/s11269-006-4635-3.
Biscos, C., M. Mulholland, M. Le Lann, C. A. Buckley, and C. J. Brouckaert. 2003. “Optimal operation of water distribution networks by predictive control using MINLP.” Water SA 29 (4): 393–404. https://doi.org/10.4314/wsa.v29i4.5044.
Bonthuys, G. J., M. van Dijk, and G. Cavazzini. 2020. “Energy recovery and leakage-reduction optimization of water distribution systems using hydro turbines.” J. Water Resour. Plann. Manage. 146 (5): 04020026. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001203.
Carravetta, A., O. Fecarotta, M. Sinagra, and T. Tucciarelli. 2014. “Cost-benefit analysis for hydropower production in water distribution networks by a pump as turbine.” J. Water Resour. Plann. Manage. 140 (6): 04014002. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000384.
Carrijo, I. B., L. F. R. Reis, G. A. Walters, and D. Savic. 2004. “Operational optimization of WDS based on multiobjective genetic algorithms and operational extraction rules using data mining.” In Proc., 2004 World Water and Environmental Resources Congress: Critical Transitions in Water and Environmental Resources Management, 4475. Reston, VA: ASCE.
Clauset, A., M. E. J. Newman, and C. Moore. 2004. “Finding community structure in very large networks.” Phys. Rev. E: Stat. Nonlinear Soft Matter Phys. 70 (6): 1–6. https://doi.org/10.1103/PhysRevE.70.066111.
Corcoran, L., A. McNabola, and P. Coughlan. 2016. “Optimization of water distribution networks for combined hydropower energy recovery and leakage reduction.” J. Water Resour. Plann. Manage. 142 (2): 04015045. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000566.
Creaco, E., and G. Pezzinga. 2015a. “Embedding linear programming in multi objective genetic algorithms for reducing the size of the search space with application to leakage minimization in water distribution networks.” Environ. Modell. Software 69 (Jul): 308–318. https://doi.org/10.1016/j.envsoft.2014.10.013.
Creaco, E., and G. Pezzinga. 2015b. “Multiobjective optimization of pipe replacements and control valve installations for leakage attenuation in water distribution networks.” J. Water Resour. Plann. Manage. 141 (3): 04014059. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000458.
Creaco, E., and T. Walski. 2017. “Economic analysis of pressure control for leakage and pipe burst reduction.” J. Water Resour. Plann. Manage. 143 (12): 04017074. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000846.
Deb, K., A. Pratap, S. Agarwal, and T. Meyarivan. 2002. “A fast and elitist multiobjective genetic algorithm: NSGA-II.” IEEE Trans. Evol. Comput. 6 (2): 182–197. https://doi.org/10.1109/4235.996017.
Deuerlein, J. W. 2008. “Decomposition model of a general water supply network graph.” J. Hydraul. Eng. 134 (6): 822–832. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:6(822).
Diao, K., Y. Zhou, and W. Rauch. 2013. “Automated creation of district metered area boundaries in water distribution systems.” J. Water Resour. Plann. Manage. 139 (2): 184–190. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000247.
Di Nardo, A., and M. Di Natale. 2010. “A design support methodology for district metering of water supply networks.” In Proc., 12th Int. Conf., Water Distribution Systems Analysis 2010, 870. Reston, VA: ASCE.
Farmani, R., D. A. Savic, and G. A. Walters. 2005. “Evolutionary multi-objective optimization in water distribution network design.” Eng. Optim. 37 (2): 167–183. https://doi.org/10.1080/03052150512331303436.
Fecarotta, O., C. Aricò, A. Carravetta, R. Martino, and H. M. Ramos. 2015. “Hydropower potential in water distribution networks: Pressure control by PATs.” Water Resour. Manage. 29 (3): 699–714. https://doi.org/10.1007/s11269-014-0836-3.
Ferrari, G., D. Savic, and G. Becciu. 2014. “Graph-theoretic approach and sound engineering principles for design of district metered areas.” J. Water Resour. Plann. Manage. 140 (12): 04014036. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000424.
Fu, G., Z. Kapelan, J. R. Kasprzyk, and P. Reed. 2012. “Optimal design of water distribution systems using many-objective visual analytics.” J. Water Resour. Plann. Manage. 139 (6): 624–633. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000311.
Gallagher, J., D. Styles, A. McNabola, and A. P. Williams. 2015. “Life cycle environmental balance and greenhouse gas mitigation potential of micro-hydropower energy recovery in the water industry.” J. Cleaner Prod. 99 (Jul): 152–159. https://doi.org/10.1016/j.jclepro.2015.03.011.
Gilbert, D., E. Abraham, I. Montalvo, and O. Piller. 2017. “Iterative multistage method for a large water network sectorization into DMAs under multiple design objectives.” J. Water Resour. Plann. Manage. 143 (11): 04017067. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000835.
Giudicianni, C., M. Herrera, A. di Nardo, and K. Adeyeye. 2020. “Automatic multiscale approach for water networks partitioning into dynamic district metered areas.” Water Resour. Manage. 34 (2): 835–848. https://doi.org/10.1007/s11269-019-02471-w.
Giustolisi, O., and L. Ridolfi. 2014. “New modularity-based approach to segmentation of water distribution networks.” J. Hydraul. Eng. 140 (10): 04014049. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000916.
Goldberg, D. E. 1989. Genetic algorithms in search, optimization, and machine learning. New York: Addison-Wesley.
Grayman, W. M., R. Murray, and D. A. Savic. 2009. “Effects of redesign of water systems for security and water quality factors.” In Proc., World Environmental and Water Resources Congress 2009: Great Rivers, 504. Reston, VA: ASCE.
Haartsen, T., and V. Venhorst. 2010. “Planning for decline: Anticipating on population decline in the Netherlands.” Tijdschrift voor economische en sociale geografie 101 (2): 218–227. https://doi.org/10.1111/j.1467-9663.2010.00597.x.
Herrera, M., S. Canu, A. Karatzoglou, R. Perez-García, and J. Izquierdo. 2010. “An approach to water supply clusters by semi-supervised learning.” In Proc., 5th Biennial Conf. of the Int. Environmental Modelling and Software Society: Modelling for Environment’s Sake, 1925. Manno, Switzerland: International Congress on Environmental Modelling and Software.
Holland, J. H. 1975. Adaptation in natural and artificial systems. Ann Arbor, MI: University of Michigan Press.
Izquierdo, J., M. Herrera, I. Montalvo, and R. Perez. 2009. “Agent-based division of water distribution systems into district metered areas.” In Proc., 4th Int. Conf. on Software and Data Technologies, 167–180. New York: Springer.
Kapelan, Z. S., D. A. Savic, and G. A. Walters. 2005. “Multiobjective design of water distribution systems under uncertainty.” Water Resour. Res. 41 (11): 1–15. https://doi.org/10.1029/2004WR003787.
Klise K. A., R. Murray, and L. T. N. Walker. 2015. Systems measures of water distribution system resilience. Rep. Albuquerque, NM: Sandia National Laboratories.
Kurek, W., and A. Ostfeld. 2013. “Multi-objective optimization of water quality, pumps operation, and storage sizing of water distribution systems.” J. Environ. Manage. 115 (Jan): 189–197. https://doi.org/10.1016/j.jenvman.2012.11.030.
Letterman, R. D. 1999. Water quality and treatment: A handbook of community water supplies. New York: American Water Works Association, McGraw-Hill.
Liberatore, S., and G. M. Sechi. 2009. “Location and calibration of valves in water distribution networks using a scatter-search meta-heuristic approach.” Water Resour. Manage. 23 (8): 1479–1495. https://doi.org/10.1007/s11269-008-9337-6.
Machell, J., and J. Boxall. 2014. “Modeling and field work to investigate the relationship between age and quality of tap water.” J. Water Resour. Plann. Manage. 140 (9): 04014020. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000383.
Martínez-Solano, F. J., P. L. Iglesias Rey, D. Mora Melia, and J. V. Ribelles-Aguilar. 2018. “Combining skeletonization, setpoint curves, and heuristic algorithms to define district metering areas in the battle of water networks district metering areas.” J. Water Resour. Plann. Manage. 144 (6): 04018023. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000938.
Morrison, J., S. Tooms, and D. Rogers. 2007. “District metered areas: Guidance notes.” Accessed July 20, 2020. https://iwanetwork.org/learn_resources/district-metered-areas-guidance-notes/.
Murray, R. E., W. M. Grayman, D. A. Savic, and R. Farmani. 2009. “Effects of DMA redesign on water distribution system performance.” In Proc., 10th Int. Conf. on Computing and Control for the Water Industry: Integrating Water Systems, 645. London: Taylor & Francis.
Nicolini, M., C. Giacomello, and K. Deb. 2011. “Calibration and optimal leakage management for a real water distribution network.” J. Water Resour. Plann. Manage. 137 (1): 134–142. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000087.
Nicolini, M., and L. Zovatto. 2009. “Optimal location and control of pressure reducing valves in water networks.” J. Water Resour. Plann. Manage. 135 (3): 178–187. https://doi.org/10.1061/(ASCE)0733-9496(2009)135:3(178).
Novák, P., P. Neumann, and J. Macas. 2010. “Graph-based clustering and characterization of repetitive sequences in next-generation sequencing data.” BMC Bioinf. 11: 378. https://doi.org/10.1186/1471-2105-11-378.
Ofwat. 2018. “Reporting guidance—Leakage.” Accessed June 22, 2020. http://www.ofwat.gov.uk/regulating/reporting/.
Perelman, L., and A. Ostfeld. 2011. “Topological clustering for water distribution systems analysis.” Environ. Modell. Software 26 (7): 969–972. https://doi.org/10.1016/j.envsoft.2011.01.006.
Perelman, L., A. Ostfeld, and E. Salomons. 2008. “Cross entropy multiobjective optimization for water distribution systems design.” Water Resour. Res. 44 (9). https://doi.org/10.1029/2007WR006248.
Pesantez, J. E., E. Z. Berglund, and G. Mahinthakumar. 2020. “Geospatial and hydraulic simulation to design district metered areas for large water distribution networks.” J. Water Resour. Plann. Manage. 146 (7): 06020010. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001243.
Prasad, T. D., and N. S. Park. 2004. “Multiobjective genetic algorithms for design of water distribution networks.” J. Water Resour. Plann. Manage. 130 (1): 73–82. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:1(73).
Price, E., and A. Ostfeld. 2014. “Discrete pump scheduling and leakage control using linear programming for optimal operation of water distribution systems.” J. Hydraul. Eng. 140 (6): 04014017. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000864.
Price, E., and A. Ostfeld. 2016. “Optimal pump scheduling in water distribution systems using graph theory under hydraulic and chlorine constraints.” J. Water Resour. Plann. Manage. 142 (10): 04016037. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000680.
Puust, R., Z. Kapelan, D. A. Savic, and T. Koppel. 2010. “A review of methods for leakage management in pipe networks.” Urban Water J. 7 (1): 25–45. https://doi.org/10.1080/15730621003610878.
Quintiliani, C., O. Marquez-Calvo, L. Alfonso, C. Di Cristo, A. Leopardi, D. P. Solomatine, and G. De Marinis. 2019. “Multiobjective valve management optimization formulations for water quality enhancement in water distribution networks.” J. Water Resour. Plann. Manage. 145 (12): 04019061. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001133.
Rahman, A., and Z. Y. Wu. 2018. “Multistep simulation-optimization modeling approach for partitioning water distribution system into district meter areas.” J. Water Resour. Plann. Manage. 144 (5): 04018018. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000927.
Rahmani, F., K. Muhammed, K. Behzadian, and R. Farmani. 2018. “Optimal operation of water distribution systems using a graph theory–based configuration of district metered areas.” J. Water Resour. Plann. Manage. 144 (8): 04018042. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000941.
Saldarriaga, J., J. Bohorquez, D. Celeita, L. Vega, D. Paez, D. Savic, G. Dandy, Y. Filion, W. Grayman, and Z. Kapelan. 2019. “Battle of the water networks district metered areas.” J. Water Resour. Plann. Manage. 145 (4): 04019002. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001035.
Saldarriaga, J., D. Páez, J. Bohórquez, N. Páez, J. P. París, D. Rincón, C. Salcedo, and D. Vallejo. 2016. “Rehabilitation and leakage reduction on C-town using hydraulic criteria.” J. Water Resour. Plann. Manage. 142 (5): C4015013. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000600.
Salomons, E., O. Skulovich, and A. Ostfeld. 2017. “Battle of water networks DMAs: Multistage design approach.” J. Water Resour. Plann. Manage. 143 (10): 04017059. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000830.
Savic, D., and G. Ferrari. 2014. “Design and performance of district metering areas in water distribution systems.” Procedia Eng. 89: 1136–1143. https://doi.org/10.1016/j.proeng.2014.11.236.
Schwetschenau, S. E., J. M. VanBriesen, and J. L. Cohon. 2019. “Integrated multiobjective optimization and simulation model applied to drinking water treatment placement in the context of existing infrastructure.” J. Water Resour. Plann. Manage. 145 (11): 04019048. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001111.
Scibetta, M., F. Boano, R. Revelli, and L. Ridolfi. 2014. “Community detection as a tool for district metered areas identification.” Procedia Eng. 70: 1518–1523. https://doi.org/10.1016/j.proeng.2014.02.167.
Sitzenfrei, R., and W. Rauch. 2015. “Optimizing small hydropower systems in water distribution systems based on long-time-series simulation and future scenarios.” J. Water Resour. Plann. Manage. 141 (10): 04015021. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000537.
Swamee, P. K., and A. K. Sharma. 1990. “Decomposition of large water-distribution systems.” J. Environ. Eng. 116 (2): 269–283. https://doi.org/10.1061/(ASCE)0733-9372(1990)116:2(269).
Tzatchkov, V. G., V. H. Alcocer-Yamanaka, and V. Bourguett Ortíz. 2007. “Graph theory based algorithms for water distribution network sectorization projects.” In Proc., 8th Annual Water Distribution Systems Analysis Symp. 2006, 172. Reston, VA: ASCE.
Ubarevičienė, R., M. Van Ham, and D. Burneika. 2016. “Shrinking regions in a shrinking country: The geography of population decline in Lithuania 2001–2011.” Urban Stud. Res. 1. https://doi.org/10.1155/2016/5395379.
Ulanicki, B., J. Kahler, and H. See. 2007. “Dynamic optimization approach for solving an optimal scheduling problem in water distribution systems.” J. Water Resour. Plann. Manage. 133 (1): 23–32. https://doi.org/10.1061/(ASCE)0733-9496(2007)133:1(23).
United Nations. 2015. “The world population prospects: The 2015 revision.” United Nations Dept. Econ. Soc. Aff. 33 (2): 1–66.
United Nations. 2019. “World population prospects 2019.” Accessed July 22, 2020. https://population.un.org/wpp/.
Vairavamoorthy, K., and J. Lumbers. 1998. “Leakage reduction in water distribution systems: Optimal valve control.” J. Hydraul. Eng. 124 (11): 1146–1154. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:11(1146).
Van Zyl, J. E., and C. R. I. Clayton. 2007. “The effect of pressure on leakage in water distribution systems.” Water Manage. 160 (2): 109–114. https://doi.org/10.1680/wama.2007.160.2.109.
Van Zyl, J. E., D. A. Savic, and G. A. Walters. 2004. “Operational optimization of water distribution systems using a hybrid genetic algorithm.” J. Water Resour. Plann. Manage. 130 (2): 160–170. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:2(160).
Vasilic, Ž, M. Stanic, Z. Kapelan, D. Prodanovic, and B. Babic. 2020. “Uniformity and heuristics-based DeNSE method for sectorization of water distribution networks.” J. Water Resour. Plann. Manage. 146 (3): 04019079. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001163.
Walski, T. M. 2001. “The wrong paradigm—Why water distribution optimization doesn’t work.” J. Water Resour. Plann. Manage. 127 (4): 203–205. https://doi.org/10.1061/(ASCE)0733-9496(2001)127:4(203).
Wang, H., S. Masters, M. A. Edwards, J. O. Falkinham, and A. Pruden. 2014. “Effect of disinfectant, water age, and pipe materials on bacterial and eukaryotic community structure in drinking water biofilm.” Environ. Sci. Technol. 48 (3): 1426–1435. https://doi.org/10.1021/es402636u.
Wang, Q., M. Guidolin, D. Savic, and Z. Kapelan. 2015. “Two-objective design of benchmark problems of a water distribution system via MOEAs: Towards the best-known approximation of the true Pareto front.” J. Water Resour. Plann. Manage. 141 (3): 04014060. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000460.
Wu, C., Y. Wu, J. Gao, and Z. Zhao. 2005. “Research on water detention time in water supply network.” Supplement, J. Harbin Inst. Technol. (New Ser.) 12: (S1): 188–193.
Zecchin, A. C., H. R. Maier, A. R. Simpson, M. Leonard, and J. B. Nixon. 2007. “Ant colony optimization applied to water distribution system design: Comparative study of five algorithms.” J. Water Resour. Plann. Manage. 133 (1): 87–92. https://doi.org/10.1061/(ASCE)0733-9496(2007)133:1(87).

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 147Issue 4April 2021

History

Received: Dec 21, 2019
Accepted: Oct 6, 2020
Published online: Jan 22, 2021
Published in print: Apr 1, 2021
Discussion open until: Jun 22, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Mohamad Zeidan [email protected]
Ph.D. Student, Faculty of Civil and Environmental Engineering, Technion–Israel Institute of Technology, Haifa 32000, Israel. Email: [email protected]
Professor, Process Optimization Group, Institute of Automation and Systems Engineering, Technische Universität Ilmenau, Ilmenau 98693, Germany. ORCID: https://orcid.org/0000-0001-6481-9961. Email: [email protected]
Professor, Faculty of Civil and Environmental Engineering, Technion–Israel Institute of Technology, Haifa 32000, Israel (corresponding author). ORCID: https://orcid.org/0000-0001-9112-6079. Email: [email protected]; [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share