Efficient Schemes for Robust IMRT Treatment Planning

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.


Optimization Technical Report 06-01, January 2006 (Revised June 2006), Department of Computer Sciences, University of Wisconsin-Madison.



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