Abstract
The consideration of fixed cost and time-varying operating cost associated with the simultaneous conjunctive use of surface and subsurface water should be treated as a multi-objective problem due to the conflicting characteristics of these two objectives. In order to solve this multi-objective problem, a novel approach is developed herein by integrating the multi-objective genetic algorithm (MOGA), constrained differential dynamic programming (CDDP) and the groundwater simulation model ISOQUAD. A MOGA is used to generate the various fixed costs of reservoirs’ scale, generate a pattern of pumping/recharge, and estimate the non-inferior solutions set. A groundwater simulation model ISOQUAD is directly embedded to handle the complex dynamic relationship between the groundwater level and the generated pumping/recharge pattern. The CDDP optimization model is then adopted to distribute the optimal releases among reservoirs provided that reservoir capacities are known. Finally, the effectiveness of our proposed integrated model is verified by solving a water resources planning problem for the conjunctive use of surface and subsurface water in southern Taiwan.
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Barlow DPM, Ahlfeld P, Dickerman DC (2003) Conjunctive management model for sustained yield of stream-aquifer systems. J Water Resour Plan Manage 129(1):35–48
Chang LC, Yang CC (2002) Optimizing the rule curves for multi-reservoir operations using a genetic algorithm and HEC-5. J Hydrosci Hydraul Eng 20(1):59–75
Chang LC, Shoemaker CA, Liu PLF (1992) Optimal time-varying pumping rates for groundwater remediation: application of a constrained optimal control algorithm. Water Resour Res 28(12):3157–3171
David WW Jr, Daene CM (1998) Decomposition methods for water resources optimization models with fixed costs. Water Resour Res 21:283–295
Dean Randall L (1997) Water supply planning simulation model using mixed-integer linear programming engine. J Water Resour Plan Manage 123:116–124
Deepak Khare MK, Jat E (2006) Assessment of conjunctive use planning options: a case study of Sapon irrigation command area of Indonesia. J Hydrology 328:764–777
Goldberg DE (1989) Genetic algorithm in search, optimization, and machine learning. Addison-WESLEY, Reading, MA
Hakan B, Miguel AM (1999) Joint management of surface and ground water supplies. Ground Water 37(2):214–222
Hsiao CT, Chang LC (2002) Dynamic optimal groundwater management while considering fixed cost. J Water Resour Plan Manage 128(1):57–65
Hsu S-K (1995) Shortage indices for water-resources planning in Taiwan. J Water Resour Plan Manage 121(2):119–131
Hydrologic Engineering Center (1966) Reservoir yield, generalized computer program 23-J2-L245. US Army, Corps of Engineers, Davis, CA
Hydrologic Engineering Center (1975) Hydrologic engineering methods for water resources development: reservoir yield, vol. 8. US Army, Corps of Engineers, Davis, CA
Murray DM, Yakowitz SJ (1981) The application of optimal control methodology to nonlinear programming problems. Math Program 21(3):331–347
Philbrick CR, Peter KK (1998) Optimal conjunctive-use operations and plans. Water Resour Res 34(5):1307–1316
Pinder GF (1978) Galerkin finite element models for aquifer simulation. Rep. 78-WR-5. Department of Civil Engineering, Princeton University, Princeton, NJ
Reddy MJ, Kumar DN (2006) Optimal reservoir operation using multi-objective evolutionary algorithm. Water Resour Manag 20:861–878
Water Resources Planning Commission (1986) Estimation of water supply requirements in Tainan, Kaohsiung, and Pintung areas. Water Resources Planning Commission, Taipei, Taiwan
Wu HR (1997) A study on the relationship between development cost of water resources and water price. In: Proceedings of 1997 conference of rational water usage and production. Hsinchu, Taiwan, pp 41–48
Yeh CH, Labadie JW (1997) Multi-objective watershed-level planning of storm water detention systems. J Water Resour Plan Manage 123(6):336–343
Yen JH, Chen CY (2001) Allocation strategy analysis of water resources in South Taiwan. Water Resour Manag 15:283–297
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Yang, CC., Chang, LC., Chen, CS. et al. Multi-objective Planning for Conjunctive Use of Surface and Subsurface Water Using Genetic Algorithm and Dynamics Programming. Water Resour Manage 23, 417–437 (2009). https://doi.org/10.1007/s11269-008-9281-5
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DOI: https://doi.org/10.1007/s11269-008-9281-5

