This paper investigates the operator profit from virtual resource allocation in device-to-device (D2D) communications underlaying long-term evolution networks. By utilizing the power-bandwidth product model as the metric of operator cost, the virtual resource allocation is formulated as a binary integer programming to maximize the difference between the sum rate of all the users and the consumed resources. To reduce the complexity, the formulated problem is decomposed to two subproblems, and for each subproblem, a heuristic algorithm is proposed to transfer the complexity of exponent into polynomial. Simulation results show that the proposed scheme is close to the optimal solution with lower complexity. Meanwhile, it also outperforms the benchmark in terms of the total profit, and enables the desired tradeoff between the operator cost and sum rate of both cellular and D2D users.
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