We use robust optimization techniques to formulate an IMRT treatment planning problem in which the dose matrices are uncertain, due to both dose calculation errors and inter-fraction positional uncertainty of tumor and organs. When the uncertainty is taken into account, the original linear programming formulation becomes a second-order cone program. We describe a novel and efficient approach for solving this problem, and present results to compare the performance of our scheme with a more conventional formulation in which planning tumor volume are used to account for positional uncertainties.
Citation
Optimization Technical Report 06-01, January 2006 (Revised June 2006), Department of Computer Sciences, University of Wisconsin-Madison.