A stochastic programming with imprecise probabilities model for planning water resources systems under multiple uncertainties

Y. Y. Wang, G. H. Huang, Shuo Wang, W. Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

9 Citations (Scopus)


In this study, a stochastic programming with imprecise probabilities (SP-IP) model is proposed for planning water resources systems. The SP-IP model is capable of addressing multiple uncertainties in the forms of intervals with random boundaries and imprecise probability distributions. The stochastic optimization model can be transformed into a deterministic equivalence in a straightforward manner. A case study of regional water resources allocation is used to demonstrate the applicability of the proposed model. Results indicate that the total net benefits would be decreased with increased probabilities of occurrence, reflecting a potential trade-off between economic benefits and associated risks. The SP-IP model is also capable of providing a variety of decision alternatives under different scenarios of water policies, which is useful for water managers to formulate an appropriate water management policy in an uncertain environment.
Original languageEnglish
Pages (from-to)2169-2178
Number of pages10
JournalStochastic Environmental Research and Risk Assessment
Issue number8
Publication statusPublished - 1 Dec 2016
Externally publishedYes


  • Dual uncertainties
  • Interval probability
  • Random boundary interval
  • Two-stage stochastic programming
  • Water resources allocation

ASJC Scopus subject areas

  • Environmental Engineering
  • Environmental Chemistry
  • Water Science and Technology
  • Safety, Risk, Reliability and Quality
  • Environmental Science(all)

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