We study a massive cosmic strings with BII symmetries cosmological models in two contexts. The first of them is the standard one with a barotropic equation of state. In the second one we explore the possibility of taking into account variable "constants" (G and I >). Both models are studied under the self-similar hypothesis. We put special emphasis in calculating the numerical values for the equations of state. We find that for omega a(0,1], G, is a growing time function while I >, behaves as positive decreasing time function. If omega=0, both "constants", G and I >, behave as true constants.