Multiuser orthogonal frequency division multiplexing (mu-ofdm) is a potential method for attaining high downlink capacities in future cellular network. the sum capacity of mu-ofdm is increased when each sub channel is allocated to the user with the best channel-to-noise ratio for that sub channel, with power successively distributed by water-filling. however, fairness among the users cannot generally be achieved with such a scheme a further problem in cellular network is data rate maximization.one more problem in cellular system is inter-cell interference .in this paper, one possible approach to solve the conflict such as inter cell interference by the implementation of greedy algorithm. inter-cell interference coordination (icic) schemes can be viewed as a scheduling strategy used to limit the inter-cell interference such that cell-edge users in different cells preferably are scheduled on complementary parts of the spectrum when needed. the common theme of icic avoidance schemes is to apply restrictions to the usage of downlink resources such time/frequency and/or transmit power resources. such coordination of restrictions will provide an opportunity to limit the interference generation in the area of the cellular network. accordingly, signal to interference and noise ratio (sinr) can be improved at the receivers in the coverage area, which will provide capability for increased (cell-edge) data-rates over the coverage area, or increased coverage for given data-rates.