Abstract: Based on the clonal selection theory, the main mechanisms of clone are analyzed. An improved evolutionary strategy algorithm-Immune Monoclonal Strategy algorithm based on the Cauthy Mutation(IMCSCM) is presented, in which the Gauss mutation in the Classical Evolutionary Strategies algorithms(CES) is replaced by the Cauthy one. Compared with CES and the Immune Monoclonal Strategy algorithm applying the Gauss Mutation(IMCSCM), IMCSCM is shown to be an evolutionary strategy capable of avoiding prematurity, increasing the converging speed and keeping the variety of solution in the simulations. Using the theories of Markov Chain, its convergence is proved.

Key words: clonal selection, evolutionary algorithms, evolutionary strategies, arkov chain, Cauthy mutation