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Heterogeneous Networks (HetNets) with a topology of mixed macro-cells and Low-Power Nodes (LPNs) form an important step of capacity enhancement for LTE and LTE-A. In this paper, the authors present an optimization framework for load balancing in LTE HetNets, by means of cell range assignment using cell-specific offset. For any given offset setting, the resulting cell load is effectively approached via the solution of a system of non-linear equations characterizing the load-coupling relation between cells. They present a computationally efficient bounding scheme to approximate the solution of the non-linear system and provide theoretical insights into the monotonicity and convergence of the scheme.
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