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Interval-parameter Two-stage Stochastic Nonlinear Programming for Water Resources Management under Uncertainty

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  • Yong Li
  • Guo Huang

Abstract

Over the past decades, controversial and conflict-laden water allocation issues among competing interests have raised increasing concerns. In this research, an interval-parameter two-stage stochastic nonlinear programming (ITNP) method is developed for supporting decisions of water-resources allocation within a multi-reservoir system. The ITNP can handle uncertainties expressed as both probability distributions and discrete intervals. It can also be used for analyzing various policy scenarios that are associated with different levels of economic consequences when the promised allocation targets are violated. Moreover, it can deal with nonlinearities in the objective function such that the economies-of-scale effects in the stochastic program can be quantified. The proposed method is applied to a case study of water-resources allocation within a multi-user, multi-region and multi-reservoir context for demonstrating its applicability. The results indicate that reasonable solutions have been generated, which present as combined interval and distributional information. They provide desired water allocation plans with a maximized economic benefit and a minimized system-disruption risk. The results also demonstrate that a proper policy for water allocation can help not only mitigate the penalty due to insufficient supply but also reduce the waste of water resources. Copyright Springer Science+Business Media B.V. 2008

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  • Yong Li & Guo Huang, 2008. "Interval-parameter Two-stage Stochastic Nonlinear Programming for Water Resources Management under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(6), pages 681-698, June.
    • Handle: RePEc:spr:waterr:v:22:y:2008:i:6:p:681-698
    DOI: 10.1007/s11269-007-9186-8
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    8. Mehran Homayounfar & Sai Lai & Mehdi Zommorodian & Amin Oroji & Arman Ganji & Sara Kaviani, 2015. "Developing a Non-Discrete Dynamic Game Model and Corresponding Monthly Collocation Solution Considering Variability in Reservoir Inflow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2599-2618, June.
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    10. Mehran Homayounfar & Arman Ganji & C. Martinez, 2011. "A Novel Solution for Stochastic Dynamic Game of Water Allocation from a Reservoir Using Collocation Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(13), pages 3427-3444, October.
    11. Y. Li & G. Huang & S. Nie, 2009. "Water Resources Management and Planning under Uncertainty: an Inexact Multistage Joint-Probabilistic Programming Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(12), pages 2515-2538, September.
    12. 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.
    13. Zhang, W.J. & Tan, Q. & Zhang, T.Y., 2021. "A risk-averse stochastic quadratic model with recourse for supporting irrigation water management in uncertain and nonlinear environments," Agricultural Water Management, Elsevier, vol. 244(C).
    14. Li, W. & Li, Y.P. & Li, C.H. & Huang, G.H., 2010. "An inexact two-stage water management model for planning agricultural irrigation under uncertainty," Agricultural Water Management, Elsevier, vol. 97(11), pages 1905-1914, November.
    15. C. Li & L. Zhang, 2015. "An Inexact Two-Stage Allocation Model for Water Resources Management Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(6), pages 1823-1841, April.
    16. P. Guo & G. Huang & L. He & H. Zhu, 2009. "Interval-parameter Two-stage Stochastic Semi-infinite Programming: Application to Water Resources Management under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(5), pages 1001-1023, March.
    17. Dong Liu & Wenting Liu & Qiang Fu & Yongjia Zhang & Tianxiao Li & Khan M. Imran & Faiz M. Abrar, 2017. "Two-Stage Multi-Water Sources Allocation Model in Regional Water Resources Management under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(11), pages 3607-3625, September.
    18. Chen, C. & Li, Y.P. & Huang, G.H., 2016. "Interval-fuzzy municipal-scale energy model for identification of optimal strategies for energy management – A case study of Tianjin, China," Renewable Energy, Elsevier, vol. 86(C), pages 1161-1177.

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