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Linear model of bandwidth allocation in LTE downlink with RAT 1 was presented. The use of proposed model allowed to convert the solution of basic problem of bandwidth allocation in LTE downlink with RAT 1 to solving the optimization problem of Boolean programming with varying object functions. The linear character of model significantly reduces the computational complexity of final solutions on allocation channel (frequency) resource in LTE technology. Results of research the proposed model proved its adequacy in a number of computational examples.