Benders decomposition and an IP-based heuristic for selecting IMRT treatment beam angles

DOI10.1016/j.ejor.2015.12.050zbMath1346.90546OpenAlexW2229242817MaRDI QIDQ322758

Gino J. Lim, Sifeng Lin, Jonathan F. Bard

Publication date: 7 October 2016

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2152/28656

zbMATH Keywords

integer programmingBenders decompositionradiation therapylocal branchingintensity modulated radiation therapy (IMRT)

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Integer programming (90C10) Approximation methods and heuristics in mathematical programming (90C59) Case-oriented studies in operations research (90B90) Medical applications (general) (92C50)

Related Items (4)

Learning target-based preferences through additive models: an application in radiotherapy treatment planning ⋮ The Benders Dual Decomposition Method ⋮ A risk-based modeling approach for radiation therapy treatment planning under tumor shrinkage uncertainty ⋮ Logic-based Benders decomposition algorithm for contamination detection problem in water networks

Uses Software

• CPLEX

Cites Work

• Unnamed Item
• A hybrid approach to beam angle optimization in intensity-modulated radiation therapy
• A two-phase method for selecting IMRT treatment beam angles: branch-and-prune and local neighborhood search
• A hybrid framework for optimizing beam angles in radiation therapy planning
• Neighborhood search approaches to non-coplanar beam orientation optimization for total marrow irradiation using IMRT
• Neighborhood search approaches to beam orientation optimization in intensity modulated radiation therapy treatment planning
• Local branching
• A survey on Benders decomposition applied to fixed-charge network design problems
• Iterative solution methods for beam angle and fluence map optimization in intensity modulated radiation therapy planning
• An Optimization Framework for Conformal Radiation Treatment Planning
• Accelerating Benders Decomposition by Local Branching
• Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria
• A Modified Benders' Partitioning Algorithm for Mixed Integer Programming
• Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling
• Mathematical optimization in intensity modulated radiation therapy

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