Water Resources Management Models Based on Two-Level Linear Fractional Programming Method under Uncertainty

A two-level linear fractional water management (TLFWM) model based on interactive fuzzy programming is developed. The model can solve multi-objective problems quantitatively, particularly for the ratio multi-objective problems (e.g., benefit per unit of water in water resources management system). Furthermore, it takes the cooperation relationship between decision makers into consideration. Considering the stochastic features of runoff, chance-constrained programming is integrated into the TLFWM model framework. A stochastic two-level linear fractional chance-constrained water management (STLFCWM) model is thus proposed with different flow levels involved in the STLFCWM model in the form of probabilities as well. The developed two models are applied to a real case study to allocate the limited water resources to different water users. The obtained solutions can demonstrate the feasibility and suitability of the TLFWM model and STLFCWM model and thus help decision makers to identify desired water resources management policies under uncertainties. (C) 2015 American Society of Civil Engineers.