Bodur, Merve; Cevik, Mucahit; Cire, Andre A.; Ruschin, Mark; Wang, Juyoung Multistage stochastic fractionated intensity modulated radiation therapy planning. (English) Zbl 07764416 Comput. Oper. Res. 160, Article ID 106371, 14 p. (2023). MSC: 90Bxx PDFBibTeX XMLCite \textit{M. Bodur} et al., Comput. Oper. Res. 160, Article ID 106371, 14 p. (2023; Zbl 07764416) Full Text: DOI
Aragón-Artacho, Francisco J.; Censor, Yair; Gibali, Aviv; Torregrosa-Belén, David The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning. (English) Zbl 1517.47121 Appl. Math. Comput. 440, Article ID 127627, 17 p. (2023). MSC: 47N10 90C05 90C25 90C49 92C50 92C55 PDFBibTeX XMLCite \textit{F. J. Aragón-Artacho} et al., Appl. Math. Comput. 440, Article ID 127627, 17 p. (2023; Zbl 1517.47121) Full Text: DOI arXiv
Cabrera-Guerrero, Guillermo; Ehrgott, Matthias; Mason, Andrew J.; Raith, Andrea Bi-objective optimisation over a set of convex sub-problems. (English) Zbl 1509.90179 Ann. Oper. Res. 319, No. 2, 1507-1532 (2022). MSC: 90C29 90C11 PDFBibTeX XMLCite \textit{G. Cabrera-Guerrero} et al., Ann. Oper. Res. 319, No. 2, 1507--1532 (2022; Zbl 1509.90179) Full Text: DOI
Ripsman, Danielle A.; Purdie, Thomas G.; Chan, Timothy C. Y.; Mahmoudzadeh, Houra Robust direct aperture optimization for radiation therapy treatment planning. (English) Zbl 07587555 INFORMS J. Comput. 34, No. 4, 2017-2038 (2022). MSC: 90Cxx PDFBibTeX XMLCite \textit{D. A. Ripsman} et al., INFORMS J. Comput. 34, No. 4, 2017--2038 (2022; Zbl 07587555) Full Text: DOI arXiv
Ajdari, Ali; Saberian, Fatemeh; Ghate, Archis A theoretical framework for learning tumor dose-response uncertainty in individualized spatiobiologically integrated radiotherapy. (English) Zbl 07303815 INFORMS J. Comput. 32, No. 4, 930-951 (2020). MSC: 90Cxx PDFBibTeX XMLCite \textit{A. Ajdari} et al., INFORMS J. Comput. 32, No. 4, 930--951 (2020; Zbl 07303815)
Rocha, Humberto; Dias, Joana Matos; Ventura, Tiago; da Costa Ferreira, Brígida; do Carmo Lopes, Maria Beam angle optimization in IMRT: are we really optimizing what matters? (English) Zbl 07766334 Int. Trans. Oper. Res. 26, No. 3, 908-928 (2019). MSC: 90-XX PDFBibTeX XMLCite \textit{H. Rocha} et al., Int. Trans. Oper. Res. 26, No. 3, 908--928 (2019; Zbl 07766334) Full Text: DOI OA License
Xu, Jason; Chi, Eric C.; Yang, Meng; Lange, Kenneth A majorization-minimization algorithm for split feasibility problems. (English) Zbl 1416.90048 Comput. Optim. Appl. 71, No. 3, 795-828 (2018). MSC: 90C30 PDFBibTeX XMLCite \textit{J. Xu} et al., Comput. Optim. Appl. 71, No. 3, 795--828 (2018; Zbl 1416.90048) Full Text: DOI arXiv
Cabrera G., Guillermo; Ehrgott, Matthias; Mason, Andrew J.; Raith, Andrea A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity-modulated radiation therapy. (English) Zbl 1390.90492 Int. Trans. Oper. Res. 25, No. 1, 243-268 (2018). MSC: 90C29 90C90 PDFBibTeX XMLCite \textit{G. Cabrera G.} et al., Int. Trans. Oper. Res. 25, No. 1, 243--268 (2018; Zbl 1390.90492) Full Text: DOI Link
Saberian, Fatemeh; Ghate, Archis; Kim, Minsun Spatiotemporally optimal fractionation in radiotherapy. (English) Zbl 1377.90120 INFORMS J. Comput. 29, No. 3, 422-437 (2017). MSC: 90C90 90C25 92C50 PDFBibTeX XMLCite \textit{F. Saberian} et al., INFORMS J. Comput. 29, No. 3, 422--437 (2017; Zbl 1377.90120) Full Text: DOI Link
Gibali, Aviv A new split inverse problem and an application to least intensity feasible solutions. (English) Zbl 1375.49048 Pure Appl. Funct. Anal. 2, No. 2, 243-258 (2017). MSC: 49M37 65K15 90C25 PDFBibTeX XMLCite \textit{A. Gibali}, Pure Appl. Funct. Anal. 2, No. 2, 243--258 (2017; Zbl 1375.49048) Full Text: Link
Saberian, Fatemeh; Ghate, Archis; Kim, Minsun Optimal fractionation in radiotherapy with multiple normal tissues. (English) Zbl 1400.92285 Math. Med. Biol. 33, No. 2, 211-252 (2016). MSC: 92C50 90C20 90C11 PDFBibTeX XMLCite \textit{F. Saberian} et al., Math. Med. Biol. 33, No. 2, 211--252 (2016; Zbl 1400.92285) Full Text: DOI Link
Ajdari, Ali; Ghate, Archis Robust spatiotemporally integrated fractionation in radiotherapy. (English) Zbl 1380.90298 Oper. Res. Lett. 44, No. 4, 544-549 (2016). MSC: 90C90 90C25 90C31 92C50 PDFBibTeX XMLCite \textit{A. Ajdari} and \textit{A. Ghate}, Oper. Res. Lett. 44, No. 4, 544--549 (2016; Zbl 1380.90298) Full Text: DOI
Lin, Sifeng; Lim, Gino J.; Bard, Jonathan F. Benders decomposition and an IP-based heuristic for selecting IMRT treatment beam angles. (English) Zbl 1346.90546 Eur. J. Oper. Res. 251, No. 3, 715-726 (2016). MSC: 90B90 90C59 92C50 90C10 90C90 PDFBibTeX XMLCite \textit{S. Lin} et al., Eur. J. Oper. Res. 251, No. 3, 715--726 (2016; Zbl 1346.90546) Full Text: DOI Link
Azizi-Sultan, Ahmad-Saher Pseudo-automatic beam orientations in multi-criteria intensity-modulated radiation therapy. (English) Zbl 1346.90729 J. Comb. Optim. 31, No. 4, 1746-1759 (2016). MSC: 90C29 90C27 90C90 PDFBibTeX XMLCite \textit{A.-S. Azizi-Sultan}, J. Comb. Optim. 31, No. 4, 1746--1759 (2016; Zbl 1346.90729) Full Text: DOI
Catanzaro, Daniele; Engelbeen, Céline An integer linear programming formulation for the minimum cardinality segmentation problem. (English) Zbl 1461.90073 Algorithms (Basel) 8, No. 4, 999-1020 (2015). MSC: 90C10 90C35 92C50 PDFBibTeX XMLCite \textit{D. Catanzaro} and \textit{C. Engelbeen}, Algorithms (Basel) 8, No. 4, 999--1020 (2015; Zbl 1461.90073) Full Text: DOI
Saberian, Fatemeh; Ghate, Archis; Kim, Minsun A two-variable linear program solves the standard linear-quadratic formulation of the fractionation problem in cancer radiotherapy. (English) Zbl 1408.90355 Oper. Res. Lett. 43, No. 3, 254-258 (2015); corrigendum ibid. 43, No. 4, 418 (2015). MSC: 90C90 92C50 90C20 92-08 PDFBibTeX XMLCite \textit{F. Saberian} et al., Oper. Res. Lett. 43, No. 3, 254--258 (2015; Zbl 1408.90355) Full Text: DOI
Scherrer, Alexander; Yaneva, Filka; Grebe, Tabea; Küfer, Karl-Heinz A new mathematical approach for handling DVH criteria in IMRT planning. (English) Zbl 1321.90110 J. Glob. Optim. 61, No. 3, 407-428 (2015). MSC: 90C26 26B35 49M37 65K05 PDFBibTeX XMLCite \textit{A. Scherrer} et al., J. Glob. Optim. 61, No. 3, 407--428 (2015; Zbl 1321.90110) Full Text: DOI
Cabrera G., Guillermo; Ehrgott, Matthias; Mason, Andrew; Philpott, Andy Multi-objective optimisation of positively homogeneous functions and an application in radiation therapy. (English) Zbl 1408.90269 Oper. Res. Lett. 42, No. 4, 268-272 (2014). MSC: 90C29 90C90 92C50 PDFBibTeX XMLCite \textit{G. Cabrera G.} et al., Oper. Res. Lett. 42, No. 4, 268--272 (2014; Zbl 1408.90269) Full Text: DOI
Eichfelder, Gabriele Vector optimization in medical engineering. (English) Zbl 1309.92049 Pardalos, Panos M. (ed.) et al., Mathematics without boundaries. Surveys in interdisciplinary research. New York, NY: Springer (ISBN 978-1-4939-1123-3/hbk; 978-1-4939-1124-0/ebook). 181-215 (2014). MSC: 92C55 90C29 PDFBibTeX XMLCite \textit{G. Eichfelder}, in: Mathematics without boundaries. Surveys in interdisciplinary research. New York, NY: Springer. 181--215 (2014; Zbl 1309.92049) Full Text: DOI
Carlsson, Fredrik; Forsgren, Anders On column generation approaches for approximate solutions of quadratic programs in intensity-modulated radiation therapy. (English) Zbl 1306.90115 Ann. Oper. Res. 223, 471-481 (2014). MSC: 90C20 90C49 PDFBibTeX XMLCite \textit{F. Carlsson} and \textit{A. Forsgren}, Ann. Oper. Res. 223, 471--481 (2014; Zbl 1306.90115) Full Text: DOI
Aleman, Dionne M.; Wallgren, Johan; Romeijn, H. Edwin; Dempsey, James F. A fluence map optimization model for restoring traditional fractionation in IMRT treatment planning. (English) Zbl 1292.90339 Optim. Lett. 8, No. 4, 1453-1473 (2014). MSC: 90C90 90C30 90C51 PDFBibTeX XMLCite \textit{D. M. Aleman} et al., Optim. Lett. 8, No. 4, 1453--1473 (2014; Zbl 1292.90339) Full Text: DOI
Bertsimas, D.; Cacchiani, V.; Craft, D.; Nohadani, O. A hybrid approach to beam angle optimization in intensity-modulated radiation therapy. (English) Zbl 1348.90661 Comput. Oper. Res. 40, No. 9, 2187-2197 (2013). MSC: 90C90 90C59 92C50 PDFBibTeX XMLCite \textit{D. Bertsimas} et al., Comput. Oper. Res. 40, No. 9, 2187--2197 (2013; Zbl 1348.90661) Full Text: DOI Link
Aleman, D. M.; Mišić, V. V.; Sharpe, M. B. Computational enhancements to fluence map optimization for total marrow irradiation using IMRT. (English) Zbl 1348.90435 Comput. Oper. Res. 40, No. 9, 2167-2177 (2013). MSC: 90B90 90B85 PDFBibTeX XMLCite \textit{D. M. Aleman} et al., Comput. Oper. Res. 40, No. 9, 2167--2177 (2013; Zbl 1348.90435) Full Text: DOI
Chan, Timothy C. Y.; Mišić, Velibor V. Adaptive and robust radiation therapy optimization for lung cancer. (English) Zbl 1317.90343 Eur. J. Oper. Res. 231, No. 3, 745-756 (2013). MSC: 90C90 92C99 90C05 PDFBibTeX XMLCite \textit{T. C. Y. Chan} and \textit{V. V. Mišić}, Eur. J. Oper. Res. 231, No. 3, 745--756 (2013; Zbl 1317.90343) Full Text: DOI Link
Rocha, H.; Dias, J. M.; Ferreira, B. C.; Lopes, M. C. Selection of intensity modulated radiation therapy treatment beam directions using radial basis functions within a pattern search methods framework. (English) Zbl 1282.90242 J. Glob. Optim. 57, No. 4, 1065-1089 (2013). MSC: 90C56 90C90 PDFBibTeX XMLCite \textit{H. Rocha} et al., J. Glob. Optim. 57, No. 4, 1065--1089 (2013; Zbl 1282.90242) Full Text: DOI Link
Salari, Ehsan; Romeijn, H. Edwin Quantifying the trade-off between IMRT treatment plan quality and delivery efficiency using direct aperture optimization. (English) Zbl 1462.90123 INFORMS J. Comput. 24, No. 4, 518-533 (2012). MSC: 90C29 90C90 PDFBibTeX XMLCite \textit{E. Salari} and \textit{H. E. Romeijn}, INFORMS J. Comput. 24, No. 4, 518--533 (2012; Zbl 1462.90123) Full Text: DOI
Kim, Minsun; Ghate, Archis; Phillips, Mark H. A stochastic control formalism for dynamic biologically conformal radiation therapy. (English) Zbl 1253.93138 Eur. J. Oper. Res. 219, No. 3, 541-556 (2012). MSC: 93E20 92C50 90C39 PDFBibTeX XMLCite \textit{M. Kim} et al., Eur. J. Oper. Res. 219, No. 3, 541--556 (2012; Zbl 1253.93138) Full Text: DOI
Aleman, Dionne M.; Sharpe, Michael B. Optimization methods for total marrow irradiation using intensity modulated radiation therapy. (English) Zbl 07683603 INFOR 49, No. 4, 234-240 (2011). MSC: 90-XX PDFBibTeX XMLCite \textit{D. M. Aleman} and \textit{M. B. Sharpe}, INFOR 49, No. 4, 234--240 (2011; Zbl 07683603) Full Text: DOI
Chen, Danny Z.; Engel, Konrad; Wang, Chao A new algorithm for a field splitting problem in intensity-modulated radiation therapy. (English) Zbl 1225.92020 Algorithmica 61, No. 3, 656-673 (2011). MSC: 92C50 90C10 90C05 PDFBibTeX XMLCite \textit{D. Z. Chen} et al., Algorithmica 61, No. 3, 656--673 (2011; Zbl 1225.92020) Full Text: DOI
Baatar, Davaatseren; Boland, Natashia; Brand, Sebastian; Stuckey, Peter J. CP and IP approaches to cancer radiotherapy delivery optimization. (English) Zbl 1213.90271 Constraints 16, No. 2, 173-194 (2011). MSC: 90C90 90C57 92C50 PDFBibTeX XMLCite \textit{D. Baatar} et al., Constraints 16, No. 2, 173--194 (2011; Zbl 1213.90271) Full Text: DOI
Bansal, Nikhil; Chen, Danny Z.; Coppersmith, Don; Hu, Xiaobo S.; Luan, Shuang; Misiołek, Ewa; Schieber, Baruch; Wang, Chao Shape rectangularization problems in intensity-modulated radiation therapy. (English) Zbl 1215.68245 Algorithmica 60, No. 2, 421-450 (2011). MSC: 68U05 68W25 90C10 92C50 PDFBibTeX XMLCite \textit{N. Bansal} et al., Algorithmica 60, No. 2, 421--450 (2011; Zbl 1215.68245) Full Text: DOI
Kalinowski, Thomas A minimum cost flow formulation for approximated MLC segmentation. (English) Zbl 1211.90120 Networks 57, No. 2, 135-140 (2011). MSC: 90C05 90C90 PDFBibTeX XMLCite \textit{T. Kalinowski}, Networks 57, No. 2, 135--140 (2011; Zbl 1211.90120) Full Text: DOI
Kiesel, Antje; Engelbeen, Céline Binary matrix decompositions without tongue-and-groove underdosage for radiation therapy planning. (English) Zbl 1277.90162 Algorithmic Oper. Res. 5, No. 2, 119-132 (2010). MSC: 90C90 92C50 PDFBibTeX XMLCite \textit{A. Kiesel} and \textit{C. Engelbeen}, Algorithmic Oper. Res. 5, No. 2, 119--132 (2010; Zbl 1277.90162) Full Text: Link
Mišić, V. V.; Aleman, D. M.; Sharpe, M. B. Neighborhood search approaches to non-coplanar beam orientation optimization for total marrow irradiation using IMRT. (English) Zbl 1188.90288 Eur. J. Oper. Res. 205, No. 3, 522-527 (2010). MSC: 90C90 PDFBibTeX XMLCite \textit{V. V. Mišić} et al., Eur. J. Oper. Res. 205, No. 3, 522--527 (2010; Zbl 1188.90288) Full Text: DOI
Ehrgott, Matthias; Güler, çiğdem; Hamacher, Horst W.; Shao, Lizhen Mathematical optimization in intensity modulated radiation therapy. (English) Zbl 1185.90219 Ann. Oper. Res. 175, 309-365 (2010). MSC: 90C90 PDFBibTeX XMLCite \textit{M. Ehrgott} et al., Ann. Oper. Res. 175, 309--365 (2010; Zbl 1185.90219) Full Text: DOI
Cromvik, C.; Patriksson, M. On the robustness of global optima and stationary solutions to stochastic mathematical programs with equilibrium constraints. II: Applications. (English) Zbl 1201.90140 J. Optim. Theory Appl. 144, No. 3, 479-500 (2010). Reviewer: Jitka Dupačová (Praha) MSC: 90C15 90C33 PDFBibTeX XMLCite \textit{C. Cromvik} and \textit{M. Patriksson}, J. Optim. Theory Appl. 144, No. 3, 479--500 (2010; Zbl 1201.90140) Full Text: DOI
Wake, Giulia M. G. H.; Boland, Natashia; Jennings, Les S. Mixed integer programming approaches to exact minimization of total treatment time in cancer radiotherapy using multileaf collimators. (English) Zbl 1157.90581 Comput. Oper. Res. 36, No. 3, 795-810 (2009). MSC: 90C90 90C11 PDFBibTeX XMLCite \textit{G. M. G. H. Wake} et al., Comput. Oper. Res. 36, No. 3, 795--810 (2009; Zbl 1157.90581) Full Text: DOI
Thongphiew, Danthai; Chankong, Vira; Yin, Fang-Fang; Wu, Q. Jackie An on-line adaptive radiation therapy system for intensity modulated radiation therapy: An application of multi-objective optimization. (English) Zbl 1180.92045 J. Ind. Manag. Optim. 4, No. 3, 453-475 (2008). Reviewer: Guy Katriel (Haifa) MSC: 92C50 90C29 92C55 PDFBibTeX XMLCite \textit{D. Thongphiew} et al., J. Ind. Manag. Optim. 4, No. 3, 453--475 (2008; Zbl 1180.92045) Full Text: DOI
Aleman, Dionne M.; Kumar, Arvind; Ahuja, Ravindra K.; Romeijn, H. Edwin; Dempsey, James F. Neighborhood search approaches to beam orientation optimization in intensity modulated radiation therapy treatment planning. (English) Zbl 1177.90436 J. Glob. Optim. 42, No. 4, 587-607 (2008). MSC: 90C90 90C59 PDFBibTeX XMLCite \textit{D. M. Aleman} et al., J. Glob. Optim. 42, No. 4, 587--607 (2008; Zbl 1177.90436) Full Text: DOI
Süss, Philipp; Küfer, Karl-Heinz Balancing control and simplicity: a variable aggregation method in intensity modulated radiation therapy planning. (English) Zbl 1195.92041 Linear Algebra Appl. 428, No. 5-6, 1388-1405 (2008). MSC: 92C50 90C90 PDFBibTeX XMLCite \textit{P. Süss} and \textit{K.-H. Küfer}, Linear Algebra Appl. 428, No. 5--6, 1388--1405 (2008; Zbl 1195.92041) Full Text: DOI Link
Scherrer, Alexander; Küfer, Karl-Heinz Accelerated IMRT plan optimization using the adaptive clustering method. (English) Zbl 1195.92040 Linear Algebra Appl. 428, No. 5-6, 1250-1271 (2008). MSC: 92C50 90C30 90C90 PDFBibTeX XMLCite \textit{A. Scherrer} and \textit{K.-H. Küfer}, Linear Algebra Appl. 428, No. 5--6, 1250--1271 (2008; Zbl 1195.92040) Full Text: DOI
Kessler, Marc L.; McShan, Daniel L.; Epelman, Marina A.; Vineberg, Karen A.; Eisbruch, Avraham; Lawrence, Theodore S.; Fraass, Benedick A. Costlets: A generalized approach to cost functions for automated optimization of IMRT treatment plans. (English) Zbl 1168.92313 Optim. Eng. 6, No. 4, 421-448 (2005). MSC: 92C50 90B99 90C90 PDFBibTeX XMLCite \textit{M. L. Kessler} et al., Optim. Eng. 6, No. 4, 421--448 (2005; Zbl 1168.92313) Full Text: DOI Link
Kalinowski, Thomas A duality based algorithm for multileaf collimator field segmentation with interleaf collision constraint. (English) Zbl 1078.92035 Discrete Appl. Math. 152, No. 1-3, 52-88 (2005). MSC: 92C50 90C05 90C90 92-08 PDFBibTeX XMLCite \textit{T. Kalinowski}, Discrete Appl. Math. 152, No. 1--3, 52--88 (2005; Zbl 1078.92035) Full Text: DOI
Engel, Konrad A new algorithm for optimal multileaf collimator field segmentation. (English) Zbl 1076.92026 Discrete Appl. Math. 152, No. 1-3, 35-51 (2005). MSC: 92C50 90C90 PDFBibTeX XMLCite \textit{K. Engel}, Discrete Appl. Math. 152, No. 1--3, 35--51 (2005; Zbl 1076.92026) Full Text: DOI
Boland, Natashia; Hamacher, Horst W.; Lenzen, Frank Minimizing beam-on time in cancer radiation treatment using multileaf collimators. (English) Zbl 1044.92030 Networks 43, No. 4, 226-240 (2004). MSC: 92C50 90C90 90C11 90C30 PDFBibTeX XMLCite \textit{N. Boland} et al., Networks 43, No. 4, 226--240 (2004; Zbl 1044.92030) Full Text: DOI Link
Lee, Eva K.; Fox, Tim; Crocker, Ian Integer programming applied to intensity-modulated radiation therapy treatment planning. (English) Zbl 1046.90050 Ann. Oper. Res. 119, 165-181 (2003). MSC: 90C11 90C90 90-08 92C50 PDFBibTeX XMLCite \textit{E. K. Lee} et al., Ann. Oper. Res. 119, 165--181 (2003; Zbl 1046.90050) Full Text: DOI
Hamacher, H. W.; Küfer, K.-H. Inverse radiation therapy planning – a multiple objective optimization approach. (English) Zbl 0995.92024 Discrete Appl. Math. 118, No. 1-2, 145-161 (2002). MSC: 92C50 90C05 90C29 90C90 PDFBibTeX XMLCite \textit{H. W. Hamacher} and \textit{K. H. Küfer}, Discrete Appl. Math. 118, No. 1--2, 145--161 (2002; Zbl 0995.92024) Full Text: DOI