JAMP  Vol.8 No.3 , March 2020
A Review of Water Quality Optimisation Models and Techniques
Abstract: This paper presents a state of the art review of water quality optimisation models and techniques from early 1970s to date in terms of the model/technique category, model/technique type, purpose and application. The models are categorised into Mathematical Programming Models and Meta-heuristic Programming Models. Similarly, the techniques are categorised into Mathematical Programming Techniques and Meta-heuristic Programming Techniques. The review is concluded by drawing attention to the rare nature of application of interior-point methods to water quality optimisation.
Cite this paper: Boah, D. and Twum, S. (2020) A Review of Water Quality Optimisation Models and Techniques. Journal of Applied Mathematics and Physics, 8, 424-433. doi: 10.4236/jamp.2020.83032.

[1]   Diersing, N. (2009) Water Quality: Frequently Asked Questions. Florida Brooks National Marine Sanctuary, Key West, FL.

[2]   Johnson, D.L., Ambrose, S.H., Bassett, T.J., Bowen, M.L., Crummey, D.E., Isaacson, J.S., Johnson, D.N., Lamb, P., Saul, M. and Winter-Nelson, A.E. (1997) Meanings of Environmental Terms. Journal of Environmental Quality, 26, 581-589.

[3]   Frizzone, J.A., Coelho, R.D., Dourado-Neto, D. and Soliani, R. (1997) Linear Programming Model to Optimize the Water Resource Use in Irrigation Projects: An Application to the Senator Nilo Coelho Project. Scientia Agricola, 54, 136-148.

[4]   Cho, J., Ahn, K., Chung, W.J. and Gwon, E.M. (2003) Waste Load Allocation for Water Quality Management of a Heavily Polluted River using Linear Programming. Water Science and Technology, 48, 185-190.

[5]   Liu, Y., Guo, H., Zhou, F., Qin, X., Huang, K. and Yu, Y. (2013) Inexact Chance-Constrained Linear Programming Model for Optimal Water Pollution Management at the Watershed Scale. Journal of Water Resources Planning and Management, 134, 347-356.

[6]   Sawyer, C. and Lin, Y. (1998) Mixed-Integer Chance-Constrained Models for Ground-Water Remediation. Journal of Water Resources Planning and Management, 124, 285-294.

[7]   Qin, X.S., Huang, G.H., Zeng, G.M., Chakma, A. and Huang, Y.F. (2007) An Interval-Parameter Fuzzy Nonlinear Optimization Model for Stream Water Quality Management under Uncertainty. European Journal of Operational Research, 180, 1331-1357.

[8]   Liu, M., Nie, G., Hu, M., Liao, R. and Shen, Y. (2013) An Interval-Parameter Fuzzy Robust Nonlinear Programming Model for Water Quality Management. Journal of Water Resource and Protection, 5, 12-16.

[9]   Koleva, M.N., Styan, C.A. and Papageorgiou, L.G. (2017) Optimisation Approaches for the Synthesis of Water Treatment Plants. Computers and Chemical Engineering, 106, 849-871.

[10]   Rossman, L.A. and Liebman, J.C. (1974) Optimal Regionalization of Wastewater Treatment for Water Quality Management. Research Report 89, Water Resources Center, University of Illinois, Urbana, IL.

[11]   Xie, Y.L., Li, Y.P., Huang, G.H., Li, Y.F. and Chen, L.R. (2011) An Inexact Chance-Constrained Programming Model for Water Quality Management in Binhai New Area of Tianjin, China. Science of the Total Environment, 409, 1757-1773.

[12]   Zhang, X., Huang, G.H. and Nie, X. (2009) Optimal Decision Schemes for Agricultural Water Quality Management Planning with Imprecise Objective. Agricultural Water Management, 96, 1723-1731.

[13]   Agha, S.R. (2005) Use of Goal Programming and Integer Programming for Water Quality Management: A Case Study of Gaza Strip. European Journal of Operational Research, 174, 1991-1998.

[14]   Kurek, W. and Ostfeld, A. (2013) Multi-Objective Optimization of Water Quality, Pumps Operation, and Storage Sizing of Water Distribution Systems. Journal of Environmental Management, 115, 189-197.

[15]   Broad, D.R., Dandy, G.C. and Maier, H.R. (2004) A Meta-Modelling Approach to Water Distribution System Optimization. World Water and Environmental Resources Congress, Salt Lake City, UT.

[16]   Najah, A., ElShafie, A., Karim, O.A. and Jaffar, O. (2009) Prediction of Johor River Water Quality Parameters Using Artificial Neural Networks. European Journal of Scientific Research, 28, 422-435.

[17]   Ghosh, S. and Mujumdar, P.P. (2006) Risk Minimization in Water Quality Control Problems of a River System. Advances in Water Resources, 29, 458-470.

[18]   Karmakar, S. and Mujumdar, P.P. (2006) Grey Fuzzy Optimization Model for Water Quality Management of a River System. Advances in Water, 29, 1088-1105.

[19]   Kerachian, R. and Karamouz, M. (2007) A Stochastic Conflict Resolution Model for Water Quality Management in Reservoir-River Systems. Advances in Water Resources, 30, 866-882.

[20]   Karmakar, S. and Mujumdar, P.P. (2007) A Two-Phase Grey Fuzzy Optimization Approach for Water Quality Management of a River System. Advances in Water Resources, 30, 1218-1235.

[21]   Liu, Y., Cai, Y.P., Huang, G.H. and Dong, C. (2012) Interval-Parameter Chance-Constrained Fuzzy Multi-Objective Programming for Water Pollution Control with Sustainable Wetland Management. Procedia Environmental Sciences, 13, 2316-2335.

[22]   Cho, J., Seok Sung, K. and Ryong Ha, S. (2014) A River Water Quality Management Model for Optimising Regional Wastewater Treatment using a Genetic Algorithm. Journal of Environmental Management, 73, 229-242.

[23]   Wang, M. and Zheng, C. (1998) Ground Water Management Optimization Using Genetic Algorithms and Simulated Annealing: Formulation and Comparison. Journal of the American Water Resources Association, 34, 519-530.

[24]   Usul, N. and Balkaya, H. (1993) Optimisation of Ground Water Management by Linear Programming. International Journal of Environmental Studies, 44, 53-62.

[25]   Karterakis, S.M., Karatzas, G.P., Nikolas, I.K. and Papadopoulou, M.P. (2007) Application of Linear Programming and Differential Evolutionary Optimization Methodologies for the Solution of Coastal Subsurface Water Management Problems Subject to Environmental Criteria. Journal of Hydrology, 342, 270-282.

[26]   Liu, S., Konstantpoulou, F., Gikas, P. and Papageorgiou, L.G. (2011) A Mixed Integer Optimisation Approach for Integrated Water Resources Management. Computers and Chemical Engineering, 35, 858-875.

[27]   Li, Y., Huang, G.H., Nie, S.L. and Mo, D.W. (2008) Interval-Parameter Robust Quadratic Programming for Water Quality Management under Uncertainty. Engineering Optimisation, 40, 613-635.

[28]   Li, Y.P., Huang, G.H., Nie, S.L. and Chen, X. (2011) A Robust Modelling Approach for Regional Water Management under Multiple Uncertainties. Agricultural Water Management, 98, 1577-1588.

[29]   Lee, C. and Wen, C. (1996) Application of Multi-Objective Programming to Water Quality Management in a River Basin. Journal of Environmental Management, 47, 11-26.

[30]   Ribeiro, V.H.A. and Reynoso-Meza, G. (2019) Monitoring of Drinking-Water Quality by Means of a Multi-Objective Ensemble Learning Approach. Conference Proceedings.

[31]   Correia, P.B. and Andrade, M.G. (1988) Optimal Operation of a Reservoir System with Network Flow Algorithm. In: Computational Methods in Water Resources, Volume 2: Numerical Methods for Transport and Hydrologic Processes, Elsevier, New York, 399-404.

[32]   Najah, A., El-Shafie, A., Karim, O.A. and El-Shafie, A.H. (2013) Application of Artificial Neural Networks for Water Quality Prediction. Neural Computing and Applications, 22, 187-201.

[33]   Chan, H.A.B. and Culver, T.B. (2005) Groundwater Remediation Design under Uncertainty Using Genetic Algorithms. Journal of Water Resources Planning and Management, 131, 25-34.

[34]   Lee, C.S. and Chang, S.P. (2005) Interactive Fuzzy Optimization for an Economic and Environmental Balance in a River System. Water Research, 39, 221-231.

[35]   Kalwij, I.M. and Peralta, R.C. (2008) Non-Adaptive and Adaptive Hybrid Approaches for Enhancing Water Quality Management. Journal of Hydrology, 358, 182-192.

[36]   Rao, S.V.N., Thandaveswara, B.S., Murty Bhallamudi, S. and Srinivasulu, V. (2003) Optimal Groundwater Management in Deltaic Regions Using Simulated Annealing and Neural Networks. Water Resources Management, 17, 409-428.