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.