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

Mohammad Reza Nikoo, Reza Kerachian*, Akbar Karimi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Citations (SciVal)


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.

Original languageEnglish
Pages (from-to)2911-2926
Number of pages16
JournalWater Resources Management
Issue number10
Publication statusPublished - Aug 2012


  • Nonlinear interval optimization
  • River basins
  • Waste load allocation
  • Water allocation
  • Water quality

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Water Science and Technology


Dive into the research topics of 'A Nonlinear Interval Model for Water and Waste Load Allocation in River Basins'. Together they form a unique fingerprint.

Cite this