In this study, the use of robust optimization approach for locating the proposed covering model for the antennas and telecommunications masts and the models proposed in the literature for the coverage will be used to present an appropriate and new model for its robustness. In the last decade, the use of mobile phone has been considerably increased. Mobile communication networks have been modeled in the form of cells and each cell has covered one area. One of the issues raised in the field of antennas and telecommunications masts is localization of the desired stations to offer an appropriate mobile service in terms of signaling. Different signaling radius of the stations, their localization and geographical conditions of the area make the localization of the stations to be NP- hard... optimization problem. In this study, robustness - based modeling is used to evaluate the effect of uncertainty in subscriber's demand.