Optimization of beam directions in intensity modulated radiation therapy planning

In this paper we consider the problem of selecting optimal beam directions as well as optimal intensity profiles for radiation therapy. Our multiobjective mixed integer programming problem is based on and extends a multiobjective LP formulation for intensity optimisation by Hamacher and Küfer. We use a weighted sum scalarisation to explore the benefits of beam direction optimisation. We propose exact and heuristic methods for solving the problem and present some numerical results.