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Water Resources Management

, Volume 4, Issue 4, pp 251–271 | Cite as

Selecting risk levels in chance-constrained reservoir operation modeling: A fuzzy set approach

  • Dragan A. Savic
  • Slobodan P. Simonovic
Article

Abstract

Many modifications, extensions, discussions, and evaluations of chance-constrained reservoir operating models have been reported in the technical literature. Lack of economic data and the fact that the establishment of acceptable risk levels in these types of models involves a human factor with all its vagueness of perception, subjectivity, and attitudes may not permit proper application of either reliability or multiobjective programming approaches. This paper presents a unique methodology for handling a practical problem of selecting risk levels in chance-constrained reservoir operation modeling. The proposed methodology is based on fuzzy set theory. Two types of fuzzy sets are used in the formulation of the reservoir long-term planning model, one for constraints and one for the objective function. An iterative solution algorithm for deriving an optimal decision using fuzzy set operations and the chance-constrained approach is developed and presented. A practical application of the approach demonstrates the feasibility and efficiency of both the proposed approach and its iterative search procedure for selecting risk levels in chance-constrained reservoir modeling.

Key words

Reservoir operation treatment of imprecision optimization satisficing fuzzy sets 

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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Dragan A. Savic
    • 1
  • Slobodan P. Simonovic
    • 1
  1. 1.Civil Engineering DepartmentUniversity of ManitobaWinnipegCanada

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