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We present a mathematical framework for quantitative investigations of self-optimizing wireless networks (SON) with focus on the 3GPP long-term evaluation (LTE) system. Basic target functions, such as the signal-to-noise ratio distribution, the number of satisfied users, or energy efficiency are derived as a figure of merit, including the impact of adaptation of downlink transmit power adaptation, antenna tilt, and the handover parameter. The framework is exemplified by basic investigations on load balancing.
Viering et al. (Mon,) studied this question.