title: Balancing control and simplicity: A variable aggregation method in intensity modulated radiation therapy planning.
abstract: It is commonly believed that not all degrees of freedom are needed to produce good solutions for the treatment planning problem in intensity modulated radiation therapy (IMRT). However, typical methods to exploit this fact either increase the complexity of the optimization problem or are heuristic in nature. In this work we introduce a technique based on adaptively refining variable clusters to successively attain better treatment plans. The approach creates approximate solutions based on smaller models that may come arbitrarily close to the optimal solution. Although the method is illustrated using a specific treatment planning model, the components constituting the variable clustering and the adaptive refinement are independent of the particular optimization problem.
authors.affiliation: Department of Optimization, Fraunhofer Institute for Industrial Mathematics, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany.
authors.forename: Philipp
authors.initials: P
authors.lastname: Süss
authors.forename: Karl-Heinz
authors.initials: KH
authors.lastname: Küfer