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Optimal Long-term Operation of Reservoir-river Systems under Hydrologic Uncertainties: Application of Interval Programming

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  • Mohammad Nikoo
  • Akbar Karimi
  • Reza Kerachian

Abstract

Long-term basin-wide reservoir-river operation optimization problems are usually complex and nonlinear especially when the water quality issues and hydrologic uncertainties are incorporated. It is due to non-convex functions in water quality modeling and a large number of computational iterations required by most of stochastic programming methods. The computational burden of uncertainty modeling can be reduced by a special combination of uncertainty modeling and interval programming, though the problem solution is still a challenge due to model nonlinearity. In this paper, an integrated water quantity-quality model is developed for optimal water allocation at river-basin scale. It considers water supply and quality targets as well as hydrologic, water quality and water demand uncertainties within the nonlinear interval programming (NIP) framework to minimize the slacks in water supply and quality targets during a long-term planning horizon. A fast iterative linear programming (ILP) method is developed to convert the NIP into a linear interval programming (LIP). The ILP resolves two challenges in NIP, first converting the large non-linear programming (NLP) into a linear programming (LP) with minimum approximation and second reducing the iterations needed in interval programming for NLP into just two iterations for the upper and lower limits of decision variables. This modeling approach is applied to the Zayandehrood river basin in Iran that has serious water supply and pollution problems. The results show that in this river basin at dry conditions when available surface water resources are below 85 % of normal hydrologic state and water demands are 115 % of current water demands, the total dissolved solids (TDS) concentration can be reduced by 50 % at the inlet of the Gavkhuni wetland located downstream of the river basin. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Mohammad Nikoo & Akbar Karimi & Reza Kerachian, 2013. "Optimal Long-term Operation of Reservoir-river Systems under Hydrologic Uncertainties: Application of Interval Programming," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 3865-3883, September.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:11:p:3865-3883
    DOI: 10.1007/s11269-013-0384-2
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    References listed on IDEAS

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    1. Rosegrant, M. W. & Ringler, C. & McKinney, D. C. & Cai, X. & Keller, A. & Donoso, G., 2000. "Integrated economic-hydrologic water modeling at the basin scale: the Maipo river basin," Agricultural Economics, Blackwell, vol. 24(1), pages 33-46, December.
    2. Hamed Poorsepahy-Samian & Reza Kerachian & Mohammad Nikoo, 2012. "Water and Pollution Discharge Permit Allocation to Agricultural Zones: Application of Game Theory and Min-Max Regret Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4241-4257, November.
    3. Wanshun Zhang & Yan Wang & Hong Peng & Yiting Li & Jushan Tang & K. Wu, 2010. "A Coupled Water Quantity–Quality Model for Water Allocation Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(3), pages 485-511, February.
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    Cited by:

    1. Maryam Ghashghaie & Safar Marofi & Hossein Marofi, 2014. "Using System Dynamics Method to Determine the Effect of Water Demand Priorities on Downstream Flow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(14), pages 5055-5072, November.
    2. R. Roozbahani & B. Abbasi & S. Schreider & J. Iversen, 2021. "Dam Location-Allocation under Multiple Hydrological Scenarios," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(3), pages 993-1009, February.
    3. S. Rehana & P. Mujumdar, 2014. "Basin Scale Water Resources Systems Modeling Under Cascading Uncertainties," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3127-3142, August.

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