Multipurpose Reservoir Operating Policies: A Fully Fuzzy Linear Programming Approach

Abstract

A Fully Fuzzy Linear Programming (FFLP) formulation for the reservoir operation of a multipurpose reservoir in presented in the ongoing paper. In the real world, water resources systems usually have complexities among social, eco nomic, natural resources and environmental aspects, which lead to multi-objectiv e problems of significant uncertainties in system parameters, objectives and in their interact ions. These uncertainties in FFLP reservoir operation model are considered by being t reated as fuzzy sets. In the present study, an FFLP reservoir operation model is developed wher e all parameters and decision variables are fuzzy numbers. The developed model is demonstra ted through a case study of Jayakwadi reservoir stage–II, Maharashtra, India with the obj ectives of maximization of annual releases for irrigation and hydropower generation. The FFLP reservoir operation model is solved to obtain a compromised solution by simultaneously opt imizing the fuzzified objectives and the corresponding degree of truthfulness, using linear membership function. The degree of correspondence (Correspondence) obtained is equal t o 0.78 and the corresponding annual releases for irrigation amount of 367 Mm 3 and while annual releases for hydropower generation being 216 Mm 3 . the present study clearly demonstrates that, use of FFLP in multipurpose reservoir system optimization presents a potential alternative to attain an optimal operating policy. Keywords: Fully fuzzy linear programming, Fuzzy decision var iable, Reservoir operation, Triangular fuzzy numbers.