Application of Cat Swarm Optimization Algorithm for Optimal Reservoir Operation
Publication: Journal of Irrigation and Drainage Engineering
Volume 144, Issue 1
Abstract
The scarcity of water resources throughout the world has caused many complexities in meeting water demands, which in turn has created a tendency toward developing more efficient and effective methods for optimum operation of reservoirs. In this study, the cat swarm optimization (CSO) algorithm is applied to determine optimal operation of reservoir systems (a single-reservoir system and a hypothetical four-reservoir system). Comparison with the commonly used genetic algorithm (GA) demonstrates the superiority of this metaheuristic algorithm. For the single-reservoir system, the global optimum of 1.213 was computed using the nonlinear programming method, whereas the average objective-function values for 10 runs of the CSO algorithm and GA were 1.222 and 1.635, respectively. The CSO algorithm scored a convergence rate of 99.58% compared with 78.76% by GA, and a coefficient of variation that was 1/31 that of the GA in 10 runs. In the four-reservoir system, the convergence rate of the CSO algorithm was 99.97% compared with 98.47% by GA, with average objective-function values of 307.76 and 303.59, respectively. The results for the mathematical test functions and operations of the reservoir systems demonstrated the superior performance and high efficiency of the CSO algorithm in finding the global optimization solutions.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aboutalebi, M., Bozorg-Haddad, O., and Loáiciga, H. A. (2015). “Optimal monthly reservoir operation rules for hydropower generation derived with SVR-NSGAII.” J. Water Resour. Plann. Manage., 04015029.
Afshar, A., Bozorg-Haddad, O., Mariño, M. A., and Adams, B. J. (2007). “Honey-bee mating optimization (HBMO) algorithm for optimal reservoir operation.” J. Franklin Inst., 344(5), 452–462.
Asgari, H. R., Bozorg-Haddad, O., Pazoki, M., and Loáiciga, H. A. (2015). “Weed optimization algorithm for optimal reservoir operation.” J. Irrig. Drain. Eng., 04015055.
Bozorg-Haddad, O., Afshar, A., and Mariño, M. A. (2006). “Honey-bees mating optimization (HBMO) algorithm: A new heuristic approach for water resources optimization.” Water Resour. Manage., 20(5), 661–680.
Bozorg-Haddad, O., Afshar, A., and Mariño, M. A. (2008). “Design-operation of multi-hydropower reservoirs: HBMO approach.” Water Resour. Manage., 22(12), 1709–1722.
Bozorg-Haddad, O., Afshar, A., and Mariño, M. A. (2011). “Multireservoir optimisation in discrete and continuous domains.” Proc. Inst. Civil Eng. Water Manage., 164(2), 57–72.
Bozorg-Haddad, O., Hosseini-Moghari, S. M., and Loáiciga, H. A. (2015). “Biogeography-based optimization algorithm for optimal operation of reservoir systems.” J. Water Resour. Plann. Manage., 04015034.
Bozorg-Haddad, O., Karimirad, I., Seifollahi-Aghmiuni, S., and Loáiciga, H. A. (2014a). “Development and application of the bat algorithm for optimizing the operation of reservoir systems.” J. Water Resour. Plann. Manage., 04014097.
Bozorg-Haddad, O., Moravej, M., and Loáiciga, H. A. (2014b). “Application of the water cycle algorithm to the optimal operation of reservoir systems.” J. Irrig. Drain. Eng., 04014064.
Chandramouli, V., and Raman, H. (2001). “Multi-reservoir modeling with dynamic programming and neural networks.” J. Water Resour. Plann. Manage., 89–98.
Cheng, C., Wang, S., Chau, K. W., and Wu, X. (2014). “Parallel discrete differential dynamic programming for multi-reservoir operation.” Environ. Modell. Software, 57, 152–164.
Chow, V. T., and Cortes-Rivera, G. (1974). “Application of DDDP in water resources planning.”, Univ. of Illinois, Urbana–Champaign, IL.
Chu, S. C., and Tsai, P. W. (2007). “Computational intelligence based on the behavior of cats.” Int. J. Innovative Comput. Inf. Control, 3(1), 163–173.
Esat, V., and Hall, M. J. (1994). “Water resources system optimization using genetic algorithms.” Proc., 1st Int. Conf. on Hydroinformatics, A.A. Balkema, Rotterdam, Netherlands, 225–231.
Garousi-Nejad, I., Bozorg-Haddad, O., and Loáiciga, H. A. (2016a). “Modified firefly algorithm for solving multi-reservoir operation in continuous and discrete domains.” J. Water Resour. Plann. Manage., 04016029.
Garousi-Nejad, I., Bozorg-Haddad, O., Loáiciga, H. A., and Mariño, M. A. (2016b). “Application of the firefly algorithm to optimal operation of reservoirs with the purpose of irrigation supply and hydropower production.” J. Irrig. Drain. Eng., 04016041.
Heidari, M., Chow, V. T., Kokotović, P. V., and Meredith, D. D. (1971). “Discrete differential dynamic programing approach to water resources systems optimization.” Water Resour. Res., 7(2), 273–282.
Hosseini-Moghari, S. M., Morovati, R., Moghadas, M., and Araghinejad, S. (2015). “Optimum operation of reservoir using two evolutionary algorithms: Imperialist competitive algorithm (ICA) and cuckoo optimization algorithm (COA).” Water Resour. Manage., 29(10), 3749–3769.
Jahandideh-Tehrani, M., Bozorg-Haddad, O., and Loáiciga, H. A. (2015). “Hydropower reservoir management under climate change: The Karoon Reservoir system.” Water Resour. Manage., 29(3), 749–770.
Jalali, M. R., Afshar, A., and Mariño, M. A. (2006). “Reservoir operation by ant colony optimization algorithms.” Iran. J. Sci. Technol., 30(1), 107–117.
Ji, C., Jiang, Z., Sun, P., Zhang, Y., and Wang, L. (2014). “Research and application of multidimensional dynamic programming in cascade reservoirs based on multilayer nested structure.” J. Water Resour. Plann. Manage., 04014090.
Jothiprakash, V., and Arunkumar, R. (2014). “Multi-reservoir optimization for hydropower production using NLP technique.” KSCE J. Civil Eng., 18(1), 344–354.
Lingo version 11.0 [Computer software]. Lindo System, Chicago.
Majumder, P., and Eldho, T. I. (2016). “A new groundwater management model by coupling analytic element method and reverse particle tracking with cat swarm optimization.” Water Resour. Manage., 30(6), 1953–1972.
MATLAB version 8.6 [Computer software]. MathWorks, Natick, MA.
Murray, D. M., and Yakowitz, S. J. (1979). “Constrained differential dynamic programming and its application to multireservoir control.” Water Resour. Res., 15(5), 1017–1027.
Pereira, M. V., and Pinto, L. M. (1991). “Multi-stage stochastic optimization applied to energy planning.” Math. Program., 52(1–3), 359–375.
Rani, D., and Moreira, M. M. (2010). “Simulation-optimization modeling: A survey and potential application in reservoir systems operation.” Water Resour. Manage., 24(6), 1107–1138.
Shokri, A., Bozorg-Haddad, O., and Mariño, M. A. (2014). “Multi-objective quantity-quality reservoir operation in sudden pollution.” Water Resour. Manage., 28(2), 567–586.
Stedinger, J. R., Sule, B. F., and Loucks, D. P. (1984). “Stochastic dynamic programming models for reservoir operation optimization.” Water Resour. Res., 20(11), 1499–1505.
Yeh, W. W.-G. (1985). “Reservoir management and operations models: A state-of-the-art review.” Water Resour. Res., 21(12), 1797–1818.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 144 • Issue 1 • January 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Dec 22, 2016
Accepted: Jul 3, 2017
Published online: Oct 30, 2017
Published in print: Jan 1, 2018
Discussion open until: Mar 30, 2018
Authors
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.