An almost everywhere strong convergence analysis for clonal selection algorithm

Immune algorithm is a kind of optimization algorithm,which has been used to solve combinatorial optimization problems,but its convergence analysis is lack. This paper improves clonal selection algorithm,which based on the group´s immune algorithm,and then analyses the cloning operator;finally,through the decomposition of the state space,this paper demonstrates an almost everywhere strong convergence of the improved clonal selection algorithm by martingale theory.