Abstract:
Multiobjective formulations are realistic models for many complex engineering optimization problems. In this paper, the applicability of Multiobjective Differential Evolution (MODE) in irrigation planning is demonstrated for a case study of Mahi Bajaj Sager Project, India. Three objectives, namely, net benefits, agricultural production and labour employment are analyzed in the multiobjective environment. Multiobjective model is subjected to constraints such as continuity equation, land area limitations, crop diversion requirements, minimum and maximum area of crops, live storage and canal capacity restrictions. Seventy five percent dependable inflow level is considered for the planning problem. Four variations (strategies) of Differential Evolution, namely, DE/rand/1/bin, DE/rand/2/bin, DE/best/1/bin and DE/best/2/bin are assessed in multiobjective environment. The parameters that control the functioning of MODE are population size, crossover and mutation probabilities along with number of generations. Various combinations of above parameters are also tested to assess the robustness of the methodology. It is observed that DE/rand/1/bin and DE/rand/21bin generate similar trend of results with a reasonably good pareto-optimal front as compared to that of DE/best/11bin and DE/best/2/bin. The results obtained prove the efficiency of the proposed MODE. Effect of parameters is significant, indicating the necessity of careful selection of parameters and strategies.
