Although this problem seems to be already well investigated from a scientific point of view, each of the existing approaches have some weaknesses in terms of a practical implementation in a cellular network, e.g. in [9] and [5] the effective transmission ranges of the base stations are defined without taking into account individual cells (and cell specific data). One of the main problems for checking the overlapping region for a given cell is, that there exists no general analytic function by which one can determine the overlapping region for any number of surrounding cells (even if the transmission radii are assumed to be circles around the base station sites). Because of that both methods focus on the case that a base station can be covered by only one other base station, which means that a large energy saving potential is neglected. Moreover, all existing approaches do not guarantee that the maximum energy saving potential is
found.