Optimization of Flood Control Systems by Combining Discrete Differential Dynamic Programming and Genetic Algorithm

Document Type : Original Article/Regular article

Authors

Abstract

Article Type: Research/Case Study
The present study is aimed to optimum design the one of the structural methods of flood control (Levees) based on dynamic programming (DP). In order to accelerate computing time, a model was created based on the combination of discrete differential dynamic programming and genetic algorithm (GA-DDDP). The objective function of this model is to minimize the total costs, including the cost of constructing the structure and residual damage cost. For this purpose, the length of the studied river was divided into three reaches and the optimal dimensions of the four sections were obtained as output results. Modeling and running was done by coding in MATLAB software and the results showed that the running time of GA-DDDP combined model is just 11% of the time to running the classic dynamic planning model. Also in this study, the results of the four-section model were compared with the simpler single-section model (equivalent section). The results show that the simplification of model to one section causes the increasing costs to about 20%.

Keywords


علیمحمدی، س.، رفیعی انزاب، ن. و مرادی، م. 1392. طراحی خاکریزهای کنار رودخانه (گوره‏ها) به روش آنالیز ریسک، مجله آب و فاضلاب، 25(89): 95-110.
Behrouz M. and Alimohammadi S. 2016. Risk-based design of flood control systems considering multiple dependent uncertainties. Water resources management, 30(13): 4529-4.
Behrouz M. and Alimohammadi S. 2018. Uncertainty analysis of flood control measures including epistemic and aleatory uncertainties: Probability theory and evidence theory. Journal of Hydrologic Engineering, 23(8): 04018033.
Cheng C., Wang S., Chau K. W. and Wu X. 2014. Parallel discrete differential dynamic programming for multireservoir operation. Environmental modelling & software, 57: 152-164.
Chow V.T., Maidment D.R. and Tauxe G.W. 1975. Computer time and memory requirements for DP and DDDP in water resource systems analysis. Water Resources Research , 11(5): 621-628.
Coley D.A. 1999. An introduction to genetic algorithms for scientists and engineers. World Scientific Publishing Company.university of Exeter South West England, United Kingdom.
Corry M.L. and Jones J.S. 1981. Design of Encroachments on Flood Plains Using Risk Analysis, Appendixe A, Risk Analysis Sample Problem-U.S.11 Crossing Leaf River at Hattiesburg, Ms.
Feng Z.K., Niu W.J., Cheng C. T.and Liao S.L. 2017. Hydropower system operation optimization by discrete differential dynamic programming based on orthogonal experiment design. Energy, 126: 720-732.
Florsheim J.L. and Dettinger M.D. 2007. Climate and floods still govern California levee breaks. Geophysical Research Letters, 34(22): L22403, doi:10.1029/2007GL031702, 2007
Goldberg D.E. and Richardson J. 1987. Genetic algorithms with sharing for multimodal function optimization. In Genetic algorithms and their applications: Proceedings of the Second International Conference on Genetic Algorithms (41-49). Hillsdale NJ: Lawrence Erlbaum.
Hall W.A. 1964. Optimum design of a multiple-purpose reservoir, Journal of the Hydraulics Division, 1964,90(4): 141-149
Heidari M., Chow V.T., Kokotović P. V.and Meredith D. D. 1971. Discrete differential dynamic programing approach to water resources systems optimization. Water Resources Research, 7(2): 273-282.
Hillier F.S. and Lieberman G.J. 2012. Introduction to operations research. McGraw-Hill Science, Engineering & Mathematics. Published by the Tata McGraw Hill Education Private Limited, 7 West Patel Nagar, New Delhi 110 008, Typeset at The Composers, 260, C.A. Apt., Paschim Vihar, New Delhi 110 063 and printed at India Binding House, A-98, Sector - 65, Noida, U.P.
Hsieh C.D. and Yang W.F. 2007. Optimal nonpoint source pollution control strategies for a reservoir watershed in Taiwan. Journal of environmental management, 85(4): 908-917.
Huang W.C., Yuan L.C. and Lee C.M. 2002. Linking genetic algorithm with stochastic dynamic programming to the long‐term operation of a multireservoir system. Water Resources Research, 38(12): 1-40.
Hui R., Jachens E. and Lund J. 2016. Risk‐based planning analysis for single levee. Water Resources Research, 52(4): 2513-2528.
Jamshidi M. and Heidari M. 1977. Application of dynamic programming to control Khuzestan water resources system. Automatica, 13(3): 287-293.
Kai W., Deyi C. and Zhaohui Y. 2016. Flood control and management for the transitional Huaihe River in China. Procedia Engineering, 154(2016): 703-709.
Li G. and Matthew R.G. 1990. New approach for optimization of urban drainage systems. Journal of Environmental Engineering, 116(5): 927-944.
Li C., Zhou J., Ouyang S., Ding X. and Chen L. 2014. Improved decomposition–coordination and discrete differential dynamic programming for optimization of large-scale hydropower system. Energy Conversion and Management, 84: 363-373.
Mays L.W. and Yen B.C. 1975. Optimal cost design of branched sewer systems. Water Resources Research, 11(1): 37-47.
Rao S.S. 2009. Engineering optimization: theory and practice. John Wiley & Sons.university of miami Caral gables, Florida.
Shafiei M., Bozorg Haddad O. and Afshar A. 2005. GA in optimizing Ajichai flood levee’s encroachment.Proceedings of the 6th WSEAS Int. Conf. on EVOLUTIONARY COMPUTING, Lisbon, Portugal, June 16-18, 2005: 392-399.
John B. Storm 2012. Flood-Inundation Maps for the Leaf River Hattiesburg , Mississippi , U.S.Geological Survey, Reston, Virginia
Tospornsampan J., Kita I., Ishii M. and Kitamura Y. 2005. Optimization of a multiple reservoir system operation using a combination of genetic algorithm and discrete differential dynamic programming: a case study in Mae Klong system, Thailand. Paddy and Water Environment, 3(1): 29-38.
Tung Y.K. and Mays L.W. 1981. Optimal risk based design of flood levee systems. Water Resources Research, 17(4): 843-852.
U.S.Army Corps of Engineers. 1991. Hydraulic Design of Flood Control Channels.
Wilson K.V. 1966 Flood frequency of streams in Jackson, Mississippi, open file report, 6 pp., U.S. Geol. Surv., Jackson, Miss.
Yakowitz S. 1982. Dynamic programming applications in water resources. Water resources research, 18(4): 673-696.
Zhu T. and Lund J.R. 2009. Up or out? economic-engineering theory of flood levee height and setback. Journal of Water Resources Planning and Management, 135(2): 90-95.
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Volume 7, Issue 1 - Serial Number 15
Good governance and water management
June 2020
Pages 37-48
  • Receive Date: 15 June 2019
  • Revise Date: 22 November 2019
  • Accept Date: 25 November 2019