Abstract
Recent research modeling uncertainty in water resource systems has highlighted the use of fuzzy logic based approaches. The uncertainties in water resource systems include fuzziness, subjectivity, imprecision and lack of adequate data. In this paper we focus on Fuzzy Linear Programming (FLP) problem for reservoir opera- tion with fuzzy objectives function and fuzzy constraints. Uncertainty in reservoir operation parameters such as reservoir storages, releases for irrigation, releases for hydropower production, irrigation demands, and power demands are considered by treating them as a fuzzy set. This study is devoted to the identification of optimal operating policy using three different models. A fuzzy linear programming reservoir operation models are developed within a linear programming framework. These models are applied to a case study of Jayakwadi reservoir stage -II, Maharashtra State, India with the objective of maximization of releases for irrigation and hydropower. Fuzzy set theory is used to model imprecision in various parameters by developing three models. First model considers fuzzy resources, second model is with fuzzy technological coefficients and third model considers both, fuzzy technological coefficients and fuzzy resources in linear programming framework. Fuzziness in objective function and in the constraints is quantified by a membership functions. These three models are solved to obtain compromise solution by simultaneously optimizing the fuzzified objectives and constraints. The degree of satisfaction is obtained by simultaneously optimizing the objectives are 0.53, 0.52 and 0.525 by three models respectively. The obtained result show that proposed methodology provides an effective and useful tool for reservoir operation where decision maker can decides to opt for a model depends on the imprecision involved in reservoir operation model parameters.
Highlights
Uncertainty modeling may contribute to better reservoir management
It is not reasonable to require that the constraints or the objective function in linear programming problems be specified in precise, crisp terms
Mohan and Jothiprakash [6] have developed a model for optimal crop planning where fuzziness is involved in the input variables such as inflows and ground water pumpage are considered in the Fuzzy Linear Programming (FLP) model
Summary
Uncertainty modeling may contribute to better reservoir management. Recent research in modeling uncertainty in water resources systems has highlighted the use of fuzzy logic based approaches. A variety of optimization model has been developed so far to facilitate the real-time operations of the reservoir systems, a summary can be found in Yeh [1]. The purpose of this review is to assess the state-of-the-art in optimization of reservoir system management operations and consider future directions for additional research and applications. It is not reasonable to require that the constraints or the objective function in linear programming problems be specified in precise, crisp terms. In such situations, it is desirable to use some type of FLP [3].
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