Artificial Neural Network and Differential Evolution methodologies used in single-and multi-objective formulations for the solution of subsurface water management problems

International Journal of Advanced Intelligence Paradigms

Volumn 2, Issue 4, 2010, Pages 365-377

  Nikolos, Ioannis K ^a   Papadopoulou, Maria P ^b   Karatzas, George P ^a  

^a TECHNICAL UNIVERSITY OF CRETE   (Greece)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

ANNs; Artificial neural networks; DE; Differential evolution; Groundwater management; Multi objective optimisation; Subsurface water management problems

Indexed keywords

EID: 82155195598     PISSN: 17550386     EISSN: 17550394     Source Type: Journal    
DOI: 10.1504/IJAIP.2010.036401     Document Type: Article

References (23)

1. Ahlfeld, D.P. and Heidari, M. (1994) 'Application of optimal hydraulic control to ground-water systems', Journal of Water Resources Planning and Management, Vol. 120, No. 3, pp.350-365. (Pubitemid 284304)
2. Aly, A.H. and Peralta, R.C. (1999) 'Comparison of a genetic algorithm and mathematical programming to the design of groundwater cleanup systems', Water Resources Research, Vol. 35, pp.2415-2425. (Pubitemid 29375371)
3. Arndt, O., Barth, T., Freisleben, B. and Grauer, M. (2005) 'Approximating a finite element model by neural network prediction for facility optimization in groundwater engineering', Europ. J. Oper. Research, Vol. 166, pp.769-781. (Pubitemid 40220027)
4. Babu, D.K., Pinder, G.F., Niemi, A., Ahlfeld, D.P. and Stothoff, S.A. (1997) Chemical Transport by Three-Dimensional Groundwater Flows, Princeton University, 84-WR-3, USA.
5. Bau, D.A. and Mayer, A.S. (2007) 'Data-worth analysis for multiobjective optimal design of pump-and-treat remediation systems', Advances in Water Resources, Vol. 30, pp.1815-1830. (Pubitemid 46712123)
6. Cai, X., McKinney, D.C. and Lasdon, L.S. (2001) 'Solving nonlinear water management models using a combined genetic algorithm and linear programming approach', Advances in Water Resources, Vol. 24, pp.667-676. (Pubitemid 32546287)
7. Deb, K. (2001) Multi-Objective Optimization using Evolutionary Algorithms, John Wiley and Sons, Ltd, Baffins Lane, Chichester, England.
8. Erickson, M., Mayer, A. and Horn, J. (2002) 'Multi-objective optimal design of groundwater remediation systems: application of the niched pareto genetic algorithm (NPGA)', Advances in Water Resources, Vol. 25, pp.51-65. (Pubitemid 34068217)
9. Gorelick, S.M., Voss, C.I., Gill, P.E., Murray, W., Saunders, M.A. and Wright, M.H. (1984) 'Aquifer reclamation design: the use of contaminant transport simulation combined with nonlinear programming', Water Resources Research, Vol. 20, No. 4, pp.415-427.
10. Michalewicz, Z. (1999) Genetic Algorithms + Data Structures = Evolution Programs, Springer-Verlag, Berlin, Heidelberg, Germany.
11. Morshed, J. and Kaluarachchi, J.J. (1998) 'Application of artificial neural network and genetic algorithm in flow and transport simulations', Advances in Water Resources, Vol. 22, pp.145-158. (Pubitemid 29118687)
12. Nikolos, I.K. (2004) 'Inverse design of aerodynamic shapes using differential evolution coupled with artificial neural network', CD Proceedings of the ERCOFTAC Conference in Design Optimization: Methods and Applications, Athens.
13. Nikolos, I.K., Stergiadi, M., Papadopoulou, M.P. and Karatzas, G.P. (2008) 'Groundwater numerical modeling and environmental design using artificial neural networks and differential evolution', in Lovrek, I., Howlett, R.J. and Jain, L.C. (Eds.): Knowledge-Based Intelligent Information and Engineering Systems (KES 2008), Part II, LNAI 5178, Springer-Verlag, Berlin, Heidelberg, Germany, pp.34-41.
14. Nikolos, I.K., Stergiadi, M., Papadopoulou, M.P. and Karatzas, G.P. (2008) 'Artificial neural networks an alternative approach to groundwater numerical modeling and environmental design', Hydrological Processes, Vol. 22, No. 17, pp.3337-3348.
15. Papadopoulou, M.P., Pinder, G.F. and Karatzas, G.P. (2003) 'Enhancement of the outer approximation method for the solution of concentration-constrained groundwater-remediation optimal-design problems', Water Resources Research, Vol. 39, No. 7, p.1185.
16. Papadopoulou, M.P., Pinder, G.F. and Karatzas, G.P. (2007) 'Flexible time-varying optimization methodology for the solution of groundwater management problems', European Journal of Operational Research, Vol. 180, No. 2, pp.770-785. (Pubitemid 46199051)
17. Price, K.V., Storn, R.M. and Lampinen, J.A. (2005) Differential Evolution, A Practical Approach to Global Optimization, Springer, Berlin, Heidelberg, Germany.
18. Reed, P., Kollat, J.B. and Devireddy, V.K. (2007) 'Using interactive archives in evolutionary multiobjective optimization: a case study for long-term groundwater monitoring design', Environmental Modelling and Software, Vol. 22, pp.683-692. (Pubitemid 44970002)
19. Rogers, L.L. and Dowla, F.U. (1994) 'Optimization of groundwater remediation using artificial neural networks with parallel solute transport modeling', Water Resources Research, Vol. 30, pp.457-481.
20. Rogers, L.L., Dowla, F.U. and Johnson, V.M. (1995) 'Optimal field-scale groundwater remediation using neural networks and the genetic algorithm', Environmental Science and Technology, Vol. 29, pp.1145-1155. (Pubitemid 26437898)
21. Spiliotopoulos, A.A., Karatzas, G.P. and Pinder, G.F. (2004) 'A multiperiod approach to the solution of groundwater management problems using the outer approximation method', European Journal of Operational Research, Vol. 157, pp.514-525.
22. Wen, C-G. and Lee, C-S. (1998) 'A neural network approach to multiobjective optimization for water quality management in a river basin', Water Resources Research, Vol. 34, pp.427-436. (Pubitemid 28129573)
23. Yan, S. and Minsker, B. (2006) 'Optimal groundwater remediation design using an adaptive neural network genetic algorithm', Water Resources Research, Vol. 42, W05407, doi:10.1029/2005WR004303. (Pubitemid 43955907)