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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| Veröffentlicht in: | Annals of operations research Jg. 119; H. 1-4; S. 229 - 245 |
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| Sprache: | Englisch |
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Springer Nature B.V
01.03.2003
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| ISSN: | 0254-5330, 1572-9338 |
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| 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. [PUBLICATION ABSTRACT] |
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| AbstractList | 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] |
| Author | Billups, Stephen C. Kennedy, Janine M. |
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| Cites_doi | 10.1088/0031-9155/36/10/004 10.1148/91.4.686 10.1080/02331939908844431 10.1016/0010-468X(82)90007-1 10.1118/1.596700 10.1137/S0036144598342032 10.1016/0360-3016(87)90203-3 10.1016/0360-3016(90)90145-A 10.1287/opre.33.4.705 10.1148/110.1.191 10.1515/9781400873173 10.1016/0360-3016(90)90413-E |
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| DOI | 10.1023/A:1022946926589 |
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| References | D.M. Shepard (5115488_CR16) 1999; 41 G. Bahr (5115488_CR1) 1968; 91 L. Hodes (5115488_CR3) 1974; 110 J. Legras (5115488_CR7) 1982; 15 S. Morrill (5115488_CR13) 1990; 19 5115488_CR4 I. Rosen (5115488_CR15) 1990; 18 D. Bertsimas (5115488_CR2) 1997 S. Morrill (5115488_CR12) 1991; 36 W. Lodwick (5115488_CR9) 1998 O. Mangasarian (5115488_CR10) 1999; 45 J. Leong (5115488_CR8) 1987; 13 D. Sonderman (5115488_CR17) 1985; 33 R.T. Rockafellar (5115488_CR14) 1970 O.L. Mangasarian (5115488_CR11) 1997; 22 J.M. Kennedy (5115488_CR5) 2000 M. Langer (5115488_CR6) 1990; 18 |
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| SubjectTerms | Algorithms Automation Chemotherapy Linear programming Mathematical programming Operations research Planning Radiation therapy Studies |
| Title | Minimum-Support Solutions for Radiotherapy Planning |
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