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Waste load allocation modeling with fuzzy goals; simulation-optimization approach

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  • M. Saadatpour
  • A. Afshar

Abstract

Presence of various types of uncertainties in water quality management problems has been recognized as one of the major challenges in water quality modeling. Vagueness, lack of adequate data and nonlinearity of cost and/or benefit functions in most of water quality and waste load allocation management problems have reduced the capability of direct inclusion of uncertainty analysis in the management models. This study presents a fuzzy waste load allocation model in which cost function and the water quality standards or the goals of dischargers and pollution control agencies are expressed with appropriate linear and/or nonlinear and nondecreasing and/or nonincreasing membership functions. QUAL2E and Classified Population Genetic Algorithm (CPGA) were coupled to develop the optimum strategy resulting in maximum value of the minimum nonzero membership values, which represent the optimum satisfaction level of the conflicting goals. Number of constraint violations was used to penalize the fitness function in order to eliminate the infeasible solutions at the final results. The model was applied to a hypothetical case example. Results show a very suitable convergence of the proposed algorithm to good of possibility to the near global optima. Effects of linear and nonlinear membership functions are examined and the results are analyzed. Copyright Springer Science+Business Media B.V. 2007

Suggested Citation

  • M. Saadatpour & A. Afshar, 2007. "Waste load allocation modeling with fuzzy goals; simulation-optimization approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(7), pages 1207-1224, July.
    • Handle: RePEc:spr:waterr:v:21:y:2007:i:7:p:1207-1224
    DOI: 10.1007/s11269-006-9077-4
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    Citations

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    Cited by:

    1. GuoLiang Wei & ZhiFeng Yang & BaoShan Cui & Bing Li & He Chen & JunHong Bai & ShiKui Dong, 2009. "Impact of Dam Construction on Water Quality and Water Self-Purification Capacity of the Lancang River, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(9), pages 1763-1780, July.
    2. Ranran Li & Zhihong Zou, 2015. "Water Environmental Capacity Analysis of Taihu Lake and Parameter Estimation Based on the Integration of the Inverse Method and Bayesian Modeling," IJERPH, MDPI, vol. 12(10), pages 1-13, September.
    3. Ni, Jingneng & Xu, Jiuping & Zhang, Mengxiang, 2018. "Constructed wetland modelling for watershed ecosystem protection under a certain economic load: A case study at the Chaohu Lake watershed, China," Ecological Modelling, Elsevier, vol. 368(C), pages 180-190.
    4. Huapeng Qin & Jingjing Jiang & Guangtao Fu & Ying Zheng, 2013. "Optimal Water Quality Management Considering Spatial and Temporal Variations in a Tidal River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(3), pages 843-858, February.

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