  This paper addresses the optimal design of wireless networks through the site
and power assignment problem. Given a set of candidate transmitters, this
problem involves choosing optimal transmitter locations and powers to provide
service coverage over a target area. In the modern context of increasing
traffic, establishing suitable locations and power emissions for the
transmitters in wireless networks is a relevant and challenging task due to
heavy radio spectrum congestion. Traditional network design formulations are
very ill-conditioned and suffer from numerical inaccuracies and limited
applicability to large-scale practical scenarios. Our contribution consists of
speeding up the solution of the problem under consideration by addressing its
drawbacks from a modeling point of view. We propose valid cutting planes and
various presolve operations to reduce the problem size and strengthen existing
formulations, along with a reduction scheme based on reduced cost fixing to
reduce the sources of numerical inaccuracies. Our proposals prove effective,
allowing us to achieve optimality on large-scale instances obtained from a real
4G LTE network in solution times aligning well with planning windows.
