Linear programing formulations and algorithms for radiotherapy treatment planning

DOI10.1080/10556780500134725zbMath1091.92039OpenAlexW2152339133MaRDI QIDQ5478868

Arinbjörn Ólafsson, Stephen J. Wright

Publication date: 13 July 2006

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780500134725

zbMATH Keywords

Interior-point methodSimplex methodRadiation therapy

Mathematics Subject Classification ID

Large-scale problems in mathematical programming (90C06) Applications of mathematical programming (90C90) Linear programming (90C05) Interior-point methods (90C51) Medical applications (general) (92C50)

Related Items (4)

Sampling issues for optimization in radiotherapy ⋮ Mixed integer programming approaches to exact minimization of total treatment time in cancer radiotherapy using multileaf collimators ⋮ A network approach for segmentation in intensity modulated arc therapy ⋮ Optimal configuration of gamma ray machine radiosurgery units: The sphere covering subproblem

Uses Software

• GAMS

Cites Work

• Unnamed Item
• A coupled column generation, mixed integer approach to optimal planning of intensity modulated radiation therapy for cancer
• Steepest-edge simplex algorithms for linear programming
• Integer programming applied to intensity-modulated radiation therapy treatment planning
• An Optimization Framework for Conformal Radiation Treatment Planning
• Minimizing beam-on time in cancer radiation treatment using multileaf collimators
• Optimizing the Delivery of Radiation Therapy to Cancer Patients
• Pivot selection methods of the Devex LP code

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