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Minimum-Support Solutions for Radiotherapy Planning

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  • Stephen Billups
  • Janine Kennedy

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]. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Stephen Billups & Janine Kennedy, 2003. "Minimum-Support Solutions for Radiotherapy Planning," Annals of Operations Research, Springer, vol. 119(1), pages 229-245, March.
    • Handle: RePEc:spr:annopr:v:119:y:2003:i:1:p:229-245:10.1023/a:1022946926589
    DOI: 10.1023/A:1022946926589
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    Cited by:

    1. Matthias Ehrgott & Çiğdem Güler & Horst Hamacher & Lizhen Shao, 2010. "Mathematical optimization in intensity modulated radiation therapy," Annals of Operations Research, Springer, vol. 175(1), pages 309-365, March.

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