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A robust interval-based minimax-regret analysis approach for the identification of optimal water-resources-allocation strategies under uncertainty

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  • Li, Y.P.
  • Huang, G.H.
  • Nie, S.L.

Abstract

In this study, a robust interval-based minimax-regret analysis (RIMA) method is developed and applied to the identification of optimal water-resources-allocation strategies under uncertainty. The developed RIMA approach can address uncertainties with multiple presentations. Moreover, it can be used for analyzing all possible scenarios associated with different system costs/benefits and risk levels without making assumptions on probabilistic distributions for random variables. In its solution process, an interval-element cost/benefit matrix can be transformed into an interval-element regret matrix, such that the decision makers can identify desired strategies based on inexact minimax regret (IMMR) criterion. Moreover, the fuzzy decision space is delimited into a more robust one through dimensional enlargement of the original fuzzy constraints. The developed method is applied to a case study of planning water resources allocation under uncertainty. The results indicate that reasonable solutions have been generated. They can help decision makers identify desired strategies for water-resources allocation with a compromise between maximized system benefit and minimized system-failure risk.

Suggested Citation

  • Li, Y.P. & Huang, G.H. & Nie, S.L., 2009. "A robust interval-based minimax-regret analysis approach for the identification of optimal water-resources-allocation strategies under uncertainty," Resources, Conservation & Recycling, Elsevier, vol. 54(2), pages 86-96.
    • Handle: RePEc:eee:recore:v:54:y:2009:i:2:p:86-96
    DOI: 10.1016/j.resconrec.2009.06.011
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Xuan, Wang & Quan, Cui & Shuyi, Li, 2012. "An optimal water allocation model based on water resources security assessment and its application in Zhangjiakou Region, northern China," Resources, Conservation & Recycling, Elsevier, vol. 69(C), pages 57-65.

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