Analysis of Complete Convergence for Genetic Algorithm with Immune Memory

A new Immune Memory Genetic Algorithm (IMGA) based on the mechanism of immune memory and immune network is proposed in this article . Using Markov chains theory, we proven that NGA(Niche Genetic Algorithms) can't not be complete convergence but IMGA can. The contrast simulation experiments between NGA and IMGA are performed. The experiments results validate the theoretical analysis and testify that IMGA has availability on solving multi-modal optimization problems, with quickly convergence ability and wonderful stability.