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The proper design of the 4G LTE network, in order to provide sufficient capacity of high-quality coverage and efficient terminal traffic management, is of utmost importance. Therefore, the joint LTE wireless communications network design problem is modeled in this paper as an optimization problem. The mathematical programming problem in the model is a nonlinear, non-convex, mixed integer-programming problem. Lagrangean relaxation and subgradient method are adopted to solve those complex problems because Lagrangean relaxation is a powerful mathematical tool to solve large-scale linear and non-linear programming problems. In the computational results, the optimal algorithm achieves more improvements compared to other primal heuristics, which could demonstrate the effectiveness of Lagrangean approach. Keywords-orthogonal frequency division multiplexing; traffic control; optimal algorithm; Long term evolution

An Optimal Traffic Control Algorithm for 4G LTE Systems