Abstract-Extensive research efforts are being attracted towards resource allocation in LTE networks. However, from the resource allocation perspectives, linear services such as Digital TV programs have been scarcely studied. In fact, for end-users requesting linear services, the maximization of the the number of users served is much important goal than maximizing the overall capacity of the network. In this paper, linear services oriented resource allocation strategy is proposed. The goal of the proposed algorithm is to maximize the success rate of the users, depending on a minimum required quality of service (QoS), measured in terms of user capacity constraint. The proposed method was tested and compared to the optimal branch and Cut solution and has shown good robustness against network and user parameters.