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 been

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... implemented to tune the Lagrangian multipliers more effectively. The UCP is solved by the LR method. The proposed approach is tested on 10 units to 100 unit's system with 24 hours' demand horizon and the results attained are compared with other methods to verify its effectiveness.