Minimum-Support Solutions for Radiotherapy Planning

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...

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Bibliographic Details
Published in:Annals of operations research Vol. 119; no. 1-4; pp. 229 - 245
Main Authors: Billups, Stephen C., Kennedy, Janine M.
Format: Journal Article
Language:English
Published: New York Springer Nature B.V 01.03.2003
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ISSN:0254-5330, 1572-9338
Online Access:Get full text
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Summary: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. [PUBLICATION ABSTRACT]
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ISSN:0254-5330
1572-9338
DOI:10.1023/A:1022946926589