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An Inexact Two-Stage Allocation Model for Water Resources Management Under Uncertainty

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  • C. Li
  • L. Zhang

Abstract

In this study, an inexact two-stage allocation model is put forward for supporting decisions of water resource planning and management. Two processes and three phases with the associated net costs are considered in the optimization model. The proposed model is derived from incorporating interval parameters within a two-stage stochastic programming framework, which can tackle uncertainties in forms of interval parameters and distributions of probability. It can also support the analysis of the policies that are related with different levels of economic consequences as the pre-decisions are violated. In other words, the proposed model is an effective link between policy and economic penalty. By applying the model into a case of water resources allocation, the results indicate that the water shortage quantity and net cost of each process in different exploit probability levels have been generated. Therefore, the simulative results are valuable for the adjustment of the existing water allocation issues in a complicated water-resource system under uncertainty. Copyright Springer Science+Business Media Dordrecht 2015

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  • 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.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:6:p:1823-1841
    DOI: 10.1007/s11269-015-0913-2
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    References listed on IDEAS

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    1. H. Lu & G. Huang & G. Zeng & I. Maqsood & L. He, 2008. "An Inexact Two-stage Fuzzy-stochastic Programming Model for Water Resources Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(8), pages 991-1016, August.
    2. Maqsood, Imran & Huang, Guo H. & Scott Yeomans, Julian, 2005. "An interval-parameter fuzzy two-stage stochastic program for water resources management under uncertainty," European Journal of Operational Research, Elsevier, vol. 167(1), pages 208-225, November.
    3. L. Zhang & C. Li, 2014. "An Inexact Two-Stage Water Resources Allocation Model for Sustainable Development and Management Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 3161-3178, August.
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    5. 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.
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    7. 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.
    8. 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.
    9. Ruszczynski, Andrzej & Swietanowski, Artur, 1997. "Accelerating the regularized decomposition method for two stage stochastic linear problems," European Journal of Operational Research, Elsevier, vol. 101(2), pages 328-342, September.
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    Cited by:

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    2. Qiang Fu & Tianxiao Li & Song Cui & Dong Liu & Xueping Lu, 2018. "Agricultural Multi-Water Source Allocation Model Based on Interval Two-Stage Stochastic Robust Programming under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(4), pages 1261-1274, March.
    3. Ajay Singh, 2016. "Optimal Allocation of Resources for Increasing Farm Revenue under Hydrological Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(7), pages 2569-2580, May.
    4. Chen, Shu & Shao, Dongguo & Tan, Xuezhi & Gu, Wenquan & Lei, Caixiu, 2017. "An interval multistage classified model for regional inter- and intra-seasonal water management under uncertain and nonstationary condition," Agricultural Water Management, Elsevier, vol. 191(C), pages 98-112.
    5. Chen, Shu & Xu, Jijun & Li, Qingqing & Tan, Xuezhi & Nong, Xizhi, 2019. "A copula-based interval-bistochastic programming method for regional water allocation under uncertainty," Agricultural Water Management, Elsevier, vol. 217(C), pages 154-164.
    6. Singh, Ajay, 2018. "Assessment of different strategies for managing the water resources problems of irrigated agriculture," Agricultural Water Management, Elsevier, vol. 208(C), pages 187-192.
    7. Zhang, Yu & Ren, Chongfeng & Zhang, Hongbo & Xie, Zhishuai & Wang, Yashi, 2022. "Managing irrigation water resources with economic benefit and energy consumption: an interval linear multi-objective fractional optimization model under multiple uncertainties," Agricultural Water Management, Elsevier, vol. 272(C).
    8. Liang Yuan & Xia Wu & Weijun He & Yang Kong & Thomas Stephen Ramsey & Dagmawi Mulugeta Degefu, 2022. "A multi-weight fuzzy Methodological Framework for Allocating Coalition Payoffs of Joint Water Environment Governance in Transboundary River Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 3367-3384, July.

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