Title: Radio Interface Planning in Mobile Telecommunication Speaker: Martin Groetcshel, ZIB and TU Berlin Abstract: The frequency spectrum for radio communication is quite limited. Even in the very early days of wireless communication need was felt to "optimize" the utilization of the radio spectrum. Graph colouring, e. g., was viewed as an appropriate mathematical model for frequency assignment. It turned out, though, that technical side constraints such as channel separation or channel use restrictions and the desire to minimize interference require more complicated models. Moreover, any of the transmission techniques, such as Frequency, Time, or Code Division Multiple Access (FDMA, TDMA, CDMA), that are currently in use in cellular communication yields different modelling challenges. Today very large and complicated integer or mixed-integer programs are employed to assign channels to antennas (TRXs) and to determine the antenna parameters such that the network provides good coverage and the user enjoys high quality service. In my talk, I will outline, in particular, some of the approaches that are employed to optimize the radio interface in GSM and UMTS mobile phone systems. This presentation is based on the work of the telecommunication research group at the Konrad- Zuse-Zentrum in Berlin.