A hierarchy in mutation of genetic algorithm and its application to multi-objective analog/RF circuit optimization

This paper presents a multi-objective analog circuit design optimization tool using genetic algorithm based on hierarchical mutation scheme. The idea is to improve the convergence and diversity of genetic algorithm by incorporating hierarchy during polynomial mutation operation. In this regard, a theoretical framework of proposed genetic algorithm is presented using Markov chain principle. To investigate the effectiveness of hierarchy in polynomial mutation operator, the scheme is compared with six different mutation strategies. Experiments are performed for different function evaluations to evaluate the performance of hierarchical polynomial mutation operator. Further, to showcase the improvement in genetic algorithm, numerous experiments are performed on twelve different test functions and two design examples. The proposed genetic algorithm shows competitive performance over other standard optimization techniques in terms of both convergence and diversity of solutions.