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Management of Multipurpose Multireservoir Using Fuzzy Interactive Method

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  • K. Deep
  • Krishna Singh
  • M. Kansal
  • C. Mohan

Abstract

In this paper a fuzzy interactive method is proposed for efficient management of multipurpose multireservoir problems. The proposed method provides an option to decision maker (DM) to work in an interactive manner to achieve the conflicting objectives as close to their desired values as is practically feasible. In each iteration, fuzzy membership functions of various objectives are framed and combined into a single objective using the product operator. The single objective nonlinear optimization model thus framed in each iteration is numerically solved using genetic algorithm. The solution provides the values of the objectives which can be actually achieved keeping in view their aspired values as provided by DM. At the end of each iteration, DM has the option to modify the aspired values of one or more objectives keeping in view the results obtained by the algorithm thus far. The algorithm is stopped when DM feels satisfied with the results. The working of the proposed method has been demonstrated on the mathematical model of a realistic multipurpose multireservoir system taken from literature. Copyright Springer Science+Business Media B.V. 2009

Suggested Citation

  • K. Deep & Krishna Singh & M. Kansal & C. Mohan, 2009. "Management of Multipurpose Multireservoir Using Fuzzy Interactive Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(14), pages 2987-3003, November.
    • Handle: RePEc:spr:waterr:v:23:y:2009:i:14:p:2987-3003
    DOI: 10.1007/s11269-009-9419-0
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. D. Kumar & M. Reddy, 2006. "Ant Colony Optimization for Multi-Purpose Reservoir Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(6), pages 879-898, December.
    3. Mohan, C. & Nguyen, H. T., 1998. "Reference direction interactive method for solving multiobjective fuzzy programming problems," European Journal of Operational Research, Elsevier, vol. 107(3), pages 599-613, June.
    4. M. Reddy & D. Kumar, 2006. "Optimal Reservoir Operation Using Multi-Objective Evolutionary Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(6), pages 861-878, December.
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    Cited by:

    1. Joao Brandão, 2010. "Performance of the Equivalent Reservoir Modelling Technique for Multi-Reservoir Hydropower Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(12), pages 3101-3114, September.
    2. D. Morankar & K. Srinivasa Raju & D. Nagesh Kumar, 2013. "Integrated Sustainable Irrigation Planning with Multiobjective Fuzzy Optimization Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 3981-4004, September.
    3. Wei Yang & Zhifeng Yang, 2010. "An Interactive Fuzzy Satisfying Approach for Sustainable Water Management in the Yellow River Delta, China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(7), pages 1273-1284, May.
    4. Hamid Reza Yavari & Amir Robati, 2021. "Developing Water Cycle Algorithm for Optimal Operation in Multi-reservoirs Hydrologic System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(8), pages 2281-2303, June.

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