Skip to main content
Log in

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

  • Published:
Water Resources Management Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Food and Agriculture Organization (FAO) (2003) Unlocking the water potential of agriculture, Technical Report, 70 pages

  • Ghahraman B, Sepaskhah AR (2004) Linear and non-linear optimization models for allocation of a limited water supply. Irrig Drain 53:39–54

    Article  Google Scholar 

  • Ghosh S, Mujumdar PP (2010) Fuzzy waste load allocation model: a multiobjective approach. J Hydroinf 12(1):83–96

    Article  Google Scholar 

  • Hakimi-Asiabar M, Ghodsypour SH, Kerachian R (2010) Deriving operating policies for multi-objective reservoir systems: application of self-learning genetic algorithm. Appl Soft Comput 10(4):1151–1163

    Article  Google Scholar 

  • Jiang C, Han H, Liu GR, Liu GP (2008) A nonlinear interval number programming method for uncertain optimization problems. Eur J Oper Res 188:1–13

    Article  Google Scholar 

  • Karamouz M, Tabari MMR, Kerachian R (2007) Application of generic algorithms and artificial neural networks in conjunctive use of surface and groundwater resources. Water Int 32(1):163–176

    Google Scholar 

  • Karamouz M, Zahraie B, Kerachian R (2003) Development of a master plan for water pollution control using MCDM techniques: a case study. Water Int 28(4):478–490

    Article  Google Scholar 

  • Mahjouri N, Ardestani M (2011) Application of cooperative and non-cooperative games in large-scale water quantity and quality management: a case study. Environ Monit Assess 172(1–4):157–169

    Article  Google Scholar 

  • Niksokhan MH, Kerachian R, Karamouz M (2009a) A game theoretic approach for trading discharge permits in rivers. Water Sci Technol 60(3):793–804

    Article  Google Scholar 

  • Niksokhan MH, Kerachian R, Amin P (2009b) A stochastic conflict resolution model for trading pollutant discharge permits in river systems. Environ Monit Assess, Springer 154(1):219–232

    Article  Google Scholar 

  • Sadegh M, Kerachian R (2011) Water resources allocation using solution concepts of fuzzy cooperative games: fuzzy least core and fuzzy weak least core. Water Resour Manag 25(10):2543–2573

    Article  Google Scholar 

  • Sadegh M, Mahjouri N, Kerachian R (2010) Optimal inter-basin water allocation using crisp and fuzzy Shapley games. Water Resour Manag 24:2291–2310

    Article  Google Scholar 

  • Wang L, Fang L, Hipel KW (2008) Basin-wide cooperative resources allocation. Eur J Oper Res 190(3):798–817

    Article  Google Scholar 

Download references

Acknowledgements

Technical contribution made by Mr. P. H. B. Beigloo is hereby acknowledged. The authors would like to acknowledge the financial support of the University of Tehran for this research under grant number 8102060/1/01.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Reza Kerachian.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikoo, M.R., Kerachian, R. & Karimi, A. A Nonlinear Interval Model for Water and Waste Load Allocation in River Basins. Water Resour Manage 26, 2911–2926 (2012). https://doi.org/10.1007/s11269-012-0056-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11269-012-0056-7

Keywords

Navigation