Parameter-invariant models for load balancing on heterogeneous networks

Several schemes for homogeneous networks have been generalized for load balancing (LB) on heterogeneous networks. However, LB parameters must be recalculated with the change of weight distribution among network nodes in known schemes and this increases the computational complexity and weakens numerical stability on the base of original schemes in which LB parameters are only decided by communication topology.The known load balancing strategies are redesigned to contain a diffusion matrix M⁎M⁎ with parameters independent of network heterogeneity. In the proposed strategies, LB parameters are only decided by network topology which is identical with the situation of homogeneous network. This leads to lower overhead of computing LB parameters and fewer LB steps than in the known schemes. Furthermore, the proposed schemes have little variation in the number of LB steps to distinct load distributions, so that they have an enhanced numerical stability. Theoretical and experimental results verify these improvements.