Abstract
Computer-generated plans for radiation treatment sometimes involve an unnecessarily large number of gantry angles. Such plans are time consuming and expensive to administer because each distinct angle causes a delay while the gantry is repositioned. To address this issue, we consider an optimization model that generates minimum-support solutions to the treatment planning problem – that is, solutions involving a minimum number of gantry angles. This model is a polyhedral concave program, which is solved using a successive linearization algorithm based on work by Mangasarian [10].
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Billups, S.C., Kennedy, J.M. Minimum-Support Solutions for Radiotherapy Planning. Annals of Operations Research 119, 229–245 (2003). https://doi.org/10.1023/A:1022946926589
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DOI: https://doi.org/10.1023/A:1022946926589