Degeneracy means when multiple individual represent same solution. This problem mainly occurs during the reproduction for solving combinatorial problem such as Bin Packing problem, Traveling Sales Man problem.
I think duplication scheme is one of the option. In this technique, newly generated member in each generation will be checked with respect to existing one and if there is any duplicate member is found, then that member will be replaced by a random solution. For details see http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=6557755&tag=1