A multistage fuzzy-stochastic programming model for supporting sustainable water-resources allocation and management

  • Authors:
  • Y. P. Li;G. H. Huang;Y. F. Huang;H. D. Zhou

  • Affiliations:
  • College of Urban and Environmental Sciences, Peking University, Beijing 100871, China;Environmental Systems Engineering Program, Faculty of Engineering, University of Regina, Regina, Sask S4S 0A2, Canada and Chinese Research Academy of Environmental Science, North China Electric Po ...;State Key Laboratory of Hydro-science and Engineering, Tsinghua University, Beijing 100084, China;Department of Water Environment, China Institute of Water Resources and Hydropower Research, Beijing 100038, China

  • Venue:
  • Environmental Modelling & Software
  • Year:
  • 2009

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Abstract

In this study, a multistage fuzzy-stochastic programming (MFSP) model is developed for tackling uncertainties presented as fuzzy sets and probability distributions. A vertex analysis approach is proposed for solving multiple fuzzy sets in the MFSP model. Solutions under a set of @a-cut levels can be generated by solving a series of deterministic submodels. The developed method is applied to the planning of a case study for water-resources management. Dynamics and uncertainties of water availability (and thus water allocation and shortage) could be taken into account through generation of a set of representative scenarios within a multistage context. Moreover, penalties are exercised with recourse against any infeasibility, which permits in-depth analyses of various policy scenarios that are associated with different levels of economic consequences when the promised water-allocation targets are violated. The modeling results can help to generate a range of alternatives under various system conditions, and thus help decision makers to identify desired water-resources management policies under uncertainty.