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A Nonlinear Interval Model for Water and Waste Load Allocation in River Basins

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  • Mohammad Nikoo
  • Reza Kerachian
  • Akbar Karimi

Abstract

In this paper, a new methodology is proposed for simultaneous allocation of water and waste load in river basins. A nonlinear interval number optimization model is used to incorporate the uncertainties of model inputs and parameters. In this methodology, the bounds of the uncertain inputs are only required, not necessarily knowing their probability density or fuzzy membership functions. In the proposed model, the existing uncertainties in water demands and monthly available water are considered in the optimization model. Also the economic and environmental impacts of water allocation to the agricultural water users are taken into account. To have an equitable water and waste load allocation, benefits are reallocated to water users using some solution concepts of the cooperative game theory. Results of applying the methodology to the Dez river system in south-western part of Iran show its effectiveness and applicability for water and waste load allocation in an uncertain environment. Copyright Springer Science+Business Media B.V. 2012

Suggested Citation

  • Mohammad Nikoo & Reza Kerachian & Akbar Karimi, 2012. "A Nonlinear Interval Model for Water and Waste Load Allocation in River Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(10), pages 2911-2926, August.
    • Handle: RePEc:spr:waterr:v:26:y:2012:i:10:p:2911-2926
    DOI: 10.1007/s11269-012-0056-7
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    References listed on IDEAS

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    1. Mojtaba Sadegh & Reza Kerachian, 2011. "Water Resources Allocation Using Solution Concepts of Fuzzy Cooperative Games: Fuzzy Least Core and Fuzzy Weak Least Core," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2543-2573, August.
    2. Jiang, C. & Han, X. & Liu, G.R. & Liu, G.P., 2008. "A nonlinear interval number programming method for uncertain optimization problems," European Journal of Operational Research, Elsevier, vol. 188(1), pages 1-13, July.
    3. Mojtaba Sadegh & Najmeh Mahjouri & Reza Kerachian, 2010. "Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(10), pages 2291-2310, August.
    4. Wang, Lizhong & Fang, Liping & Hipel, Keith W., 2008. "Basin-wide cooperative water resources allocation," European Journal of Operational Research, Elsevier, vol. 190(3), pages 798-817, November.
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    Cited by:

    1. Maryam Soltani & Reza Kerachian & Mohammad Nikoo & Hamideh Noory, 2016. "A Conditional Value at Risk-Based Model for Planning Agricultural Water and Return Flow Allocation in River Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 427-443, January.
    2. Mohammad Nikoo & Reza Kerachian & Hamed Poorsepahy-Samian, 2012. "An Interval Parameter Model for Cooperative Inter-Basin Water Resources Allocation Considering the Water Quality Issues," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(11), pages 3329-3343, September.
    3. Mahdi Zarghami & Nasim Safari & Ferenc Szidarovszky & Shafiqul Islam, 2015. "Nonlinear Interval Parameter Programming Combined with Cooperative Games: a Tool for Addressing Uncertainty in Water Allocation Using Water Diplomacy Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4285-4303, September.
    4. Najmeh Mahjouri & Mohammad Bizhani-Manzar, 2013. "Waste Load Allocation in Rivers using Fallback Bargaining," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2125-2136, May.
    5. Yuan, Qiang & McIntyre, Neil & Wu, Yipeng & Liu, Yichao & Liu, Yi, 2017. "Towards greater socio-economic equality in allocation of wastewater discharge permits in China based on the weighted Gini coefficient," Resources, Conservation & Recycling, Elsevier, vol. 127(C), pages 196-205.
    6. Maryam Soltani & Reza Kerachian & Mohammad Reza Nikoo & Hamideh Noory, 2016. "A Conditional Value at Risk-Based Model for Planning Agricultural Water and Return Flow Allocation in River Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 427-443, January.

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