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This paper proposes a novel Improved Hybrid Differential Evolution (IHDE) combined with Lagrangian relaxation (LR) technique to solve the unit commitment problem (UCP) of Thermal generators. Improved Hybrid differential evolution (IHDE) is a simple population based stochastic function method. This method retains the properties of HDE and borrows the concept of Self Adaptive Recombination (SAR) operator. SAR operator converges toward local optimum solutions. In this paper IHDE algorithm has beendoi:10.21172/1.92.08 fatcat:6gradkg4cbeobm4la4b2m7oavq