2020
DOI: 10.1016/j.amc.2019.124786
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Optimization model applied to radiotherapy planning problem with dose intensity and beam choice

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Cited by 4 publications
(3 citation statements)
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“…The main reason for the clinical use of equispaced beam angle ensembles is inherent to the challenge of solving the BAO problem, a nonconvex problem with many local minima on a large search space (Craft, 2007). The vast majority of the approaches proposed to address the BAO problem consider a discrete subset of all continuous beam angle directions solving the resulting combinatorial optimization problem (Pugachev et al, 2001; Aleman et al., 2008; Lim and Cao, 2012; Bertsimas et al., 2013; Dias et al., 2014, 2015; Cabrera et al., 2018; Freitas et al., 2020), either relying on geometric measures or in dosimetric values. However, the optimal solution of the combinatorial BAO problem cannot be calculated in a polynomial run time—NP‐hard problem (Bangert et al., 2012).…”
Section: Noncoplanar Arc Trajectory Optimization Frameworkmentioning
confidence: 99%
“…The main reason for the clinical use of equispaced beam angle ensembles is inherent to the challenge of solving the BAO problem, a nonconvex problem with many local minima on a large search space (Craft, 2007). The vast majority of the approaches proposed to address the BAO problem consider a discrete subset of all continuous beam angle directions solving the resulting combinatorial optimization problem (Pugachev et al, 2001; Aleman et al., 2008; Lim and Cao, 2012; Bertsimas et al., 2013; Dias et al., 2014, 2015; Cabrera et al., 2018; Freitas et al., 2020), either relying on geometric measures or in dosimetric values. However, the optimal solution of the combinatorial BAO problem cannot be calculated in a polynomial run time—NP‐hard problem (Bangert et al., 2012).…”
Section: Noncoplanar Arc Trajectory Optimization Frameworkmentioning
confidence: 99%
“…Freitas et al. (2019) propose a mixed‐integer nonlinear optimization model addressing both dose intensity and beam selection. In Cabrera et al.…”
Section: Bi‐level Optimization For Imrtmentioning
confidence: 99%
“…In these approaches, the beam ensemble is selected before the FMO problem is tackled. Freitas et al (2019) propose a mixed-integer nonlinear optimization model addressing both dose intensity and beam selection.…”
Section: Beam Angle Optimization Approachesmentioning
confidence: 99%