ISBN 978-3-8439-2277-7

978-3-8439-2277-7, Reihe Mathematik

Anne Philipp
Mixed-Integer Nonlinear Programming with Application to Wireless Communication Systems

209 Seiten, Dissertation Technische Universität Darmstadt (2015), Softcover, B5

Zusammenfassung / Abstract

In order to cope with the continuing growth of mobile data traffic the development and analysis of efficient wireless communication technologies are essential. In this thesis, we optimize wireless communication systems focusing on energy and spectrum efficiency and interference management techniques. The considered applications can be mathematically formulated as nonlinear programs with additional on/off constraints. To solve the resulting optimization problems, an SDP-based Branch and Bound Algorithm is developed which is based on the observed strength of semidefinite programming relaxations for nonconvex quadratically constrained quadratic programs. Moreover, a suitable local optimization algorithm, a Sequential Convex Programming Algorithm, is developed making use of the specific constraint function structure. We present convergence results for the proposed algorithms and give numerical results for wireless communication systems. Uncertainty in the problem data (e.g. channel state information) is considered in a second step.