A Study on the Convergence of the Clonal Selection Algorithm Based on the Interval Sheath Theorem

The clonal selection algorithm arises from an immune optimization algorithm,which is proposed based on the clonal selection theory of immunology.It does this by cloning an operator to operate.Firstly,this article introduces the standard clonal selection algorithm.Secondly,the cloning operator is introducted to improve the standard clonal selection algorithm.Then,this paper analyses the convergence of the clonal selection algorithm,which is based on the knowledge of sequence and that the antibody groups clonal selection's process is as an object.Finally,the interval sheath theorem is used to prove the global convergence of the algorithm.