Development of reservoir operation policies considering variable agricultural water demands

In this paper, a genetic algorithm (GA) optimization model is developed for reservoir operation optimization considering variations in water demands. In order to incorporate the demand uncertainties in optimal operation policies, different types of linear equations with different combinations of inflow, storage at the beginning of the month, and water demands as independent variables have been considered. The coefficients of optimal operation policies are obtained using classic and fuzzy regression analysis. In the case of fuzzy regression, both symmetric and asymmetric membership functions are used. Efficiency of operation policies are evaluated based on the long-term operation simulation of Zayandeh-Rud Reservoir in central part of Iran. Estimated figures for the four criteria of reliability, resiliency, total vulnerability, and maximum monthly vulnerability and also the statistical criteria of correlation coefficient, coefficient of efficiency, and standard error indicate that the fuzzy linear regression equations with inflow, storage, and demand as independent variables, in which asymmetric membership functions are used for the coefficients of the regression equation, has the best long-term performance in meeting variable demands.

[1]  William W.-G. Yeh,et al.  Reservoir Management and Operations Models: A State‐of‐the‐Art Review , 1985 .

[2]  Daniel P. Loucks,et al.  Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation , 1982 .

[3]  J. Kacprzyk,et al.  Fuzzy regression analysis , 1992 .

[4]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[5]  Haralambos V. Vasiliadis,et al.  Bayesian stochastic optimization of reservoir operation using uncertain forecasts , 1992 .

[6]  Li Chen,et al.  Real-Coded Genetic Algorithm for Rule-Based Flood Control Reservoir Management , 1998 .

[7]  Dug Hun Hong,et al.  Fuzzy linear regression analysis for fuzzy input-output data using shape-preserving operations , 2001, Fuzzy Sets Syst..

[8]  Mohammad Karamouz,et al.  Fuzzy-State Stochastic Dynamic Programming for Reservoir Operation , 2004 .

[9]  Randy L. Haupt,et al.  Practical Genetic Algorithms , 1998 .

[10]  J. Stedinger,et al.  Sampling stochastic dynamic programming applied to reservoir operation , 1990 .

[11]  Marnik Vanclooster,et al.  Comparison of Fuzzy and Nonfuzzy Optimal Reservoir Operating Policies , 2002 .

[12]  Samuel O. Russell,et al.  Reservoir Operating Rules with Fuzzy Programming , 1996 .

[13]  Yen-Chang Chen,et al.  Reservoir operation using grey fuzzy stochastic dynamic programming , 2002 .

[14]  Christine M. Anderson-Cook Practical Genetic Algorithms (2nd ed.) , 2005 .

[15]  Mark H. Houck,et al.  Optimization and Simulation of Multiple Reservoir Systems , 1992 .

[16]  Sabyasachi Ghoshray,et al.  A linear regression model using triangular fuzzy number coefficients , 1999, Fuzzy Sets Syst..

[17]  R. Wardlaw,et al.  EVALUATION OF GENETIC ALGORITHMS FOR OPTIMAL RESERVOIR SYSTEM OPERATION , 1999 .

[18]  Li Chen,et al.  Optimizing the reservoir operating rule curves by genetic algorithms , 2005 .

[19]  Ari Jolma,et al.  Fuzzy Model for Real-Time Reservoir Operation , 2002 .