Multireservoir System Optimization using Fuzzy Mathematical Programming
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For a multireservoir system, where the number of reservoirs islarge, the conventional modelling by classical stochastic dynamicprogramming (SDP) presents difficulty, due to the curse ofdimensionality inherent in the model solution. It takes a longtime to obtain a steady state policy and also it requires largeamount of computer storage space, which form drawbacks inapplication. An attempt is made to explore the concept of fuzzysets to provide a viable alternative in this context. Theapplication of fuzzy set theory to water resources systems isillustrated through the formulation of a fuzzy mathematicalprogramming model to a multireservoir system with a number ofupstream parallel reservoirs, and one downstream reservoir. Thestudy is aimed to minimize the sum of deviations of the irrigationwithdrawals from their target demands, on a monthly basis, over ayear. Uncertainty in reservoir inflows is considered by treatingthem as fuzzy sets. The model considers deterministic irrigationdemands. The model is applied to a three reservoir system in theUpper Cauvery River basin, South India. The model clearlydemonstrates that, use of fuzzy linear programming inmultireservoir system optimization presents a potentialalternative to get the steady state solution with a lot lesseffort than classical stochastic dynamic programming.
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- Multireservoir System Optimization using Fuzzy Mathematical Programming
Water Resources Management
Volume 14, Issue 6 , pp 457-472
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- Online ISSN
- Kluwer Academic Publishers
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- fuzzy mathematical programming
- multireservoir system
- steady state solution
- Industry Sectors
- Author Affiliations
- 1. Department of Civil Engineering, Indian Institute of Science, Bangalore, India
- 2. College of Engineering, Department of Civil Engineering, Trivandrum, India
- 3. Department of Civil Engineering, IndianInstitute of Science, Bangalore, India