Technical Papers
Jan 23, 2023

Application of Multiobjective Optimization to Provide Operational Guidance for Allocating Supply among Multiple Sources

Publication: Journal of Water Resources Planning and Management
Volume 149, Issue 4

Abstract

This study is motivated by multipleobjective optimization in short-term water management for a regional water utility. Although an increasing application of multi-objective evolutionary algorithm (MOEA) has been reported in the literature, we are not aware of its use for short-term water management by water utilities with diverse supply sources. This study presents an innovative practice for determining monthly resource allocation from multiple water supply sources that consider multiple objectives, including deviation from budgeted production, under or overutilization of a given portfolio of resources, and total cost of water production. This method is comprised of a simulation model, namely a production allocation model (PAM) and a MOEA. The decision variables of the MOEA optimization problem are monthly groundwater production from two groundwater wellfields. TheMOEA is used to search for Pareto optimal solutions across different objectives and the PAM uses MOEA output and considers operational constraints to determine water production from the other four supply sources in the decision horizon. Stochastic demand and supply realizations were generated to capture a wide range of uncertainties which were then sampled by a Latin Hyper Cube to make the computation tractable. A parallel computing environment was used to implement this near real-time decision support tool, providing timely guidance for water resources managers. One major difference between this study and many reported in the literature is that the MOEA was used to find Pareto solutions for each demand-supply realization rather than the entire ensemble. This setup allows water resources managers to explicitly explore Pareto solutions based on different supply and demand outlooks. The application of the innovative practice is demonstrated for a regional wholesale water supply utility, Tampa Bay Water, on the west coast of Florida in the United States. One additional advantage of MOEA-assisted planning is that it allows water managers to combine expert judgments and institutional knowledge in identifying solutions. A comparison between MOEA-assisted monthly production planning and heuristic planning reveals that the potential impact of short-term operations, e.g., deviation from budgeted production, is fully considered in a systematic approach. The proposed method can be applied to other regions with similar challenges in water resources management.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request, including the code for forecasting seasonal streamflow/demand and the code for integrating MOEA optimizer and PAM simulation.

Acknowledgments

Research reported in this manuscript is partially supported by Water Research Foundation Project #4941 entitled Improving Tradeoff Understanding in Water Resource Planning Using Multi-Objective Search. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not reflect the views of the Water Research Foundation. The authors thank the associate editor and reviewers for the constructive comments that improved the manuscript.

References

Asefa, T., J. Clayton, A. Adams, and D. Anderson. 2014. “Performance evaluation of a water resources system under varying climatic conditions reliability, resilience, vulnerability and beyond.” J. Hydrol. 508 (Jan): 53–65. https://doi.org/10.1016/j.jhydrol.2013.10.043.
Babel, M. S., A. Das Gupta, and D. K. Nayak. 2005. “A model for optimal allocation of water to competing demands.” Water Resour. Manage. 19 (6): 693–712. https://doi.org/10.1007/s11269-005-3282-4.
Basdekas, L. 2014. “Is multi-objective optimization ready for water resources practitioners?” J. Water Resour. Plann. Manage. 140 (3): 275–276. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000415.
Brown, C. M., J. R. Lund, X. Cai, P. M. Reed, E. A. Zagona, A. Ostfeld, J. Hall, G. W. Characklis, W. Yu, and L. Brekke. 2015. “The future of water resources systems analysis: Toward a scientific framework for sustainable water management.” Water Resour. Res. 51 (8): 6110–6124. https://doi.org/10.1002/2015WR017114.
Chang, L.-C., and F.-J. Chang. 2009. “Multi-objective evolutionary algorithm for operating parallel reservoir system.” J. Hydrol. 377 (1–2): 12–20. https://doi.org/10.1016/j.jhydrol.2009.07.061.
Chen, J., P.-A. Zhong, W. Liu, X.-Y. Wan, and W. W.-G. Yeh. 2020. “A multi-objective risk management model for real-time flood control optimal operation of a parallel reservoir system.” J. Hydrol. 590 (12): 125264. https://doi.org/10.1016/j.jhydrol.2020.125264.
Chen, L., J. McPhee, and W. W. G. Yeh. 2007. “A diversified multi-objective G.A. for optimizing reservoir rule curves.” Adv. Water Resour. 30 (5): 1082–1093. https://doi.org/10.1016/j.advwatres.2006.10.001.
Cohon, J. L., and D. H. Marks. 1975. “A review and evaluation of multi-objective programming techniques.” Water Resour. Res. 11 (2): 208–220. https://doi.org/10.1029/WR011i002p00208.
Deb, K. 2001. Multi-objective optimization using evolutionary algorithms. New York: Wiley.
Deng, L., S. Guo, J. Yin, Y. Zeng, and K. Chen. 2022. “Multi-objective optimization of water resources allocation in Han River basin (China) integrating efficiency, equity and sustainability.” Sci. Rep. 12 (1): 1–21. https://doi.org/10.1038/s41598-021-04734-2.
Ding, W., C. Zhang, X. Cai, Y. Li, and H. Zhou. 2017. “Multi-objective hedging rules for flood water conservation.” Water Resour. Res. 53 (Apr): 1963–1981. https://doi.org/10.1002/2016WR019452.
Elshall, A. S., A. D. Arik, A. I. El-Kadi, S. Pierce, M. Ye, K. M. Burnett, C. A. Wada, L. L. Bremer, and G. Chun. 2020. “Groundwater sustainability: A review of the interactions between science and policy.” Environ. Res. Lett. 15 (9): 093004. https://doi.org/10.1088/1748-9326/ab8e8c.
Feldman, L. D., and M. H. Ingram. 2009. “Making science useful to decision makers: Climate forecasts, water management, and knowledge networks.” Weather Clim. Soc. 1 (1): 9–21. https://doi.org/10.1175/2009WCAS1007.1.
Fourer, R., D. M. Gary, and B. W. Kernighan. 2003. AMPL: A modeling language for mathematical programming. 2nd ed. Pacific Grove, CA: Brooks/Cole Publishing.
Fry, M. L., D. Apps, and A. Gronewold. 2020. “Operational seasonal water supply and water level forecasting for the Laurentian Great Lakes.” J. Water Resour. Plann. Manage. 146 (9): 04020072. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001214.
Golembesky, K., A. Sankarasubramanian, and N. Devineni. 2009. Improved drought management of falls lake reservoir: Role of multimodel streamflow forecasts in setting up restrictions.” J. Water Resour. Plann. Manage. 135 (3): 188–197. https://doi.org/10.1061/(ASCE)0733-9496(2009)135:3(188).
Gong, G., L. Wang, L. Condon, A. Shearman, and U. Lall. 2010. “A simple framework for incorporating seasonal streamflow forecasts into existing water resource management practices.” J. Am. Water Resour. Assoc. 46 (3): 574–585. https://doi.org/10.1111/j.1752-1688.2010.00435.x.
Guo, Y., X. Tian, G. Fang, and Y. Xu. 2020. “Many-objective optimization with improved shuffled frog leaping algorithm for inter-basin water transfers.” Adv. Water Resour. 138 (Apr): 103531. https://doi.org/10.1016/j.advwatres.2020.103531.
Gupta, R. S., A. L. Hamilton, P. M. Reed, and G. W. Characklis. 2020. “Can modern multi-objective evolutionary algorithms discover high-dimensional financial risk portfolio tradeoffs for snow-dominated water-energy systems?” Adv. Water Resour. 145 (Nov): 103718. https://doi.org/10.1016/j.advwatres.2020.103718.
Habibi Davijani, M., M. E. Banihabib, A. Nadjafzadeh Anvar, and S. R. Hashemi. 2016. “Multi-objective optimization model for the allocation of water resources in arid regions based on the maximization of socioeconomic efficiency.” Water Resour. Manage. 30 (3): 927–946. https://doi.org/10.1007/s11269-015-1200-y.
Hadka, D., and P. Reed. 2015. “Large-scale parallelization of the Borg multi-objective evolutionary algorithm for many-objective optimization of complex environmental systems.” Environ. Modell. Software 69 (Sep): 353–369. https://doi.org/10.1016/j.envsoft.2014.10.014.
Hamarat, C., J. H. Kwakkel, E. Pruyt, and E. T. Loonen. 2014. “An exploratory approach for adaptive policymaking by using multi-objective robust optimization.” Simul. Modell. Pract. Theory 46 (Feb): 25–39. https://doi.org/10.1016/j.simpat.2014.02.008.
Herman, J. D., H. B. Zeff, P. M. Reed, and G. W. Characklis. 2014. “Beyond optimality: Multistakeholder robustness tradeoffs for regional water portfolio planning under deep uncertainty.” Water Resour. Res. 50 (Apr): 7692–7713. https://doi.org/10.1002/2014WR015338.
Hu, Z., C. Wei, L. Yao, C. Li, and Z. Zeng. 2016a. “Integrating equality and stability to resolve water allocation issues with a multiobjective bilevel programming model.” J. Water Resour. Plann. Manage. 142 (7): 04016013. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000640.
Hu, Z., C. Wei, L. Yao, L. Li, and C. Li. 2016b. “A multi-objective optimization model with conditional value-at-risk constraints for water allocation equality.” J. Hydrol. 542 (Nov): 330–342. https://doi.org/10.1016/j.jhydrol.2016.09.012.
Huskova, I., E. S. Matrosov, J. J. Harou, J. R. Kasprzyk, and C. Lambert. 2016. “Screening robust water infrastructure investments and their trade-offs under global change: A London example.” Global Environ. Change 41 (Nov): 216–227. https://doi.org/10.1016/j.gloenvcha.2016.10.007.
Iman, R. L., and W. J Conover. 1982. Sensitivity analysis techniques: Self-teaching curriculum, nuclear regulatory commission. Rep. No. NUREG/CR-2350, Albuquerque, NM: Sandia National Laboratories.
Lalehzari, R., S. Boroomand Nasab, H. Moazed, and A. Haghighi. 2016. “Multi-objective management of water allocation to sustainable irrigation planning and optimal cropping pattern.” J. Irrig. Drain. Eng. 142 (1): 05015008. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000933.
Laumanns, M., L. Thiele, K. Deb, and E. Zitzler. 2002. “Combining convergence and diversity in evolutionary multi objective optimization.” Evol. Comput. 10 (3): 263–282. https://doi.org/10.1162/106365602760234108.
Matrosov, E. S., I. Huskova, J. R. Kasprzyk, J. J. Harou, C. Lambert, and P. M. Reed. 2015. “Many-objective optimization and visual analytics reveal key tradeoffs for London’s water supply.” J. Hydrol. 531 (3): 1040–1053. https://doi.org/10.1016/j.jhydrol.2015.11.003.
Misra, V., T. Irani, L. Staal, K. Morris, T. Asefa, C. Martinez, and W. Graham. 2021. “The Florida water and climate alliance (FloridaWCA): Developing a stakeholder–Scientist partnership to create actionable science in climate adaptation and water resource management.” Bull. Am. Meteorol. Soc. 102 (2): 367–382. https://doi.org/10.1175/BAMS-D-19-0302.1.
Moallemi, E. A., J. Kwakkel, F. J. de Haan, and B. A. Bryan. 2020. “Exploratory modeling for analyzing coupled human-natural systems under uncertainty.” Global Environ. Change 65 (Nov): 102186. https://doi.org/10.1016/j.gloenvcha.2020.102186.
Naghdi, S., O. Bozorg-Haddad, M. Khorsandi, and X. Chu. 2021. “Multi-objective optimization for allocation of surface water and groundwater resources.” Sci. Total Environ. 776 (Jul): 146026. https://doi.org/10.1016/j.scitotenv.2021.146026.
Pareto, V. 1896. Cours deconomie politique. Lausanne, Switzerland: Rouge.
Rayner, S., D. Lach, and H. Ingram. 2005. “Weather forecasts are for wimps: Why water resource managers do not use climate forecasts.” Clim. Change 69 (2): 197–227. https://doi.org/10.1007/s10584-005-3148-z.
Reddy, M. J., and D. N. Kumar. 2006. “Optimal reservoir operation using multi-objective evolutionary algorithm.” Water Resour. Manage. 20 (6): 861–878. https://doi.org/10.1007/s11269-005-9011-1.
Reed, P., and D. Hadka. 2015. “Evolving many-objective water management to exploit exascale computing.” Water Resour. Res. 50 (10): 8367–8373. https://doi.org/10.1002/2014WR015976.
Reed, P., D. Hadka, J. Herman, J. R. Kasprzyk, and J. B. Kollat. 2013. “Evolutionary multi-objective optimization in water resources: The past, present, and future.” Adv. Water Resour. 51 (Jan): 438–456. https://doi.org/10.1016/j.advwatres.2012.01.005.
Roozbahani, R., S. Schreider, and B. Abbasi. 2015. “Optimal water allocation through a multi-objective compromise between environmental, social, and economic preferences.” Environ. Modell. Software 64 (Feb): 18–30. https://doi.org/10.1016/j.envsoft.2014.11.001.
Salazar, J., P. M. Reed, J. D. Quinn, A. C. Matteo Giuliani, and B. Exploration. 2017. “Uncertainty and computational demands in many objective reservoir optimization.” Adv. Water Resour. 109 (Nov): 196–210. https://doi.org/10.1016/j.advwatres.2017.09.014.
Smith, R., J. Kasprzyk, and L. Basdekas. 2018. “Experimenting with water supply planning objectives using the Eldorado utility planning model multireservoir testbed.” J. Water Resour. Plann. Manage. 144 (8): 04018046. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000962.
Smith, R., J. Kasprzyk, and L. Dilling. 2019. “Testing the potential of multi-objective evolutionary algorithms (MOEAs) with Colorado water managers.” Environ. Modell. Software 117 (May): 149–163. https://doi.org/10.1016/j.envsoft.2019.03.011.
Trindade, B. C., D. F. Gold, P. M. Reed, H. B. Zeff, and G. W. Characklis. 2020. “Water pathways: An open-source stochastic simulation system for integrated water supply portfolio management and infrastructure investment planning.” Environ. Modell. Software 132 (Nov): 104772. https://doi.org/10.1016/j.envsoft.2020.104772.
Trindade, B. C., P. M. Reed, and G. W. Characklis. 2019. “Deeply uncertain pathways: Integrated multi-city regional water supply infrastructure investment and portfolio management.” Adv. Water Resour. 134 (Dec): 103442. https://doi.org/10.1016/j.advwatres.2019.103442.
Wanakule, N., and A. Adams. 2014. “Chapter 8: Using optimization in well field operations: An implementation case study at Tampa Bay water.” In Introduction to optimization analysis in hydro system engineering. Berlin: Springer.
Wang, H., T. Asefa, D. Bracciano, A. Adams, and N. Wananukule. 2019. “Proactive water shortage mitigation integrating system optimization and input uncertainty.” J. Hydrol. 571 (Jan): 711–722. https://doi.org/10.1016/j.jhydrol.2019.01.071.
Wang, H., T. Asefa, V. Misra, and A. Bhardwaj. 2022. “Assessing the value of a regional climate model’s rainfall forecasts in improving dry-season streamflow predictions.” J. Water Resour. Plann. Manage. 141 (5): 04022029. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001571.
Wang, H., T. Asefa, N. Wanakule, and A. Adams. 2020. “Application of decision-support tools for seasonal water supply management that incorporates system uncertainties and operational constraints.” J. Water Resour. Plann. Manage. 146 (6): 05020008. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001225.
Wang, H., E. D. Brill, R. S. Ranjithan, and A. Sankarasubramanian. 2015. “A framework for incorporating ecological releases in single reservoir operation.” Adv. Water Resour. 78 (Apr): 9–21. https://doi.org/10.1016 /j.advwatres.2015.01.006.
Watson, A. A., and J. R. Kasprzyk. 2017. “Incorporating deeply uncertain factors into the many objective search process.” Environ. Modell. Software 89 (Dec): 159–171. https://doi.org/10.1016/j.envsoft.2016.12.001.
Whateley, S., R. N. Palmer, and C. Brown. 2014. “Seasonal hydroclimatic forecasts as innovations and the challenges of adoption by water managers.” J. Water Resour. Plann. Manage. 141 (5): 04014071. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000466.
WRF (Water Research Foundation). 2021. “Improving tradeoff understanding in water resources planning using multi-objective search.” Accessed April 1, 2022. https://www.waterrf.org/resource/improving-tradeoff-understanding-water-resource-planning-using-multi-objective-search.
Wu, W., G. C. Dandy, H. R. Maier, S. Maheepala, A. Marchi, and F. Mirza. 2017. “Identification of optimal water supply portfolios for a major city.” J. Water Resour. Plann. Manage. 143 (9): 5017007. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000811.
Zeff, H. B., J. R. Kasprzyk, J. D. Herman, P. M. Reed, and G. W. Characklis. 2014. “Navigating financial and supply reliability tradeoffs in regional drought management portfolios.” Water Resour. Res. 50 (6): 4906–4923. https://doi.org/10.1002/2013WR015126.

Information & Authors

Information

Published In

Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 149Issue 4April 2023

History

Received: Apr 16, 2022
Accepted: Oct 8, 2022
Published online: Jan 23, 2023
Published in print: Apr 1, 2023
Discussion open until: Jun 23, 2023

Permissions

Request permissions for this article.

Authors

Affiliations

Hui Wang, M.ASCE [email protected]
Lead Water Resources Systems Engineer, System Decision Support, Tampa Bay Water, 2575 Enterprise Rd., Clearwater, FL 33763 (corresponding author). Email: [email protected]
Nisai Wanakule, M.ASCE [email protected]
Lead Water Resources Systems Engineer, System Decision Support, Tampa Bay Water, 2575 Enterprise Rd., Clearwater, FL 33763. Email: [email protected]
Tirusew Asefa, F.ASCE [email protected]
Manager, System Decision Support, Tampa Bay Water, 2575 Enterprise Rd., Clearwater, FL 33763. Email: [email protected]
Solomon Erkyihun, M.ASCE [email protected]
Water Resources Systems Engineer, System Decision Support, Tampa Bay Water, 2575 Enterprise Rd., Clearwater, FL 33763. Email: [email protected]
Leon Basdekas [email protected]
Upper Columbia Senior Water Manager, Water Management, US Army Corps of Engineers, Seattle District, 4735 East Marginal Way South, Seattle, WA 98134. Email: [email protected]
Richard Hayslett [email protected]
Technical Lead for Integrated Planning, Black & Veatch, Overland Park, KS 66013. Email: [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.

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