References
- AhujaRHamacherHA network flow algorithm to minimize beam-on time for unconstrained multileaf collimator problems in cancer radiation therapyNetworks2005451364110.1002/net.20047
- BaatarDHamacherHEhrgottMWoegingerGDecomposition of integer matrices and multileaf collimator sequencingDiscrete Applied Mathematics20051521–363410.1016/j.dam.2005.04.008
- Baatar D, Boland N, Brand S and Stuckey P (2007). Minimum Cardinality Matrix Decomposition into Consecutive-Ones Matrices: CP and IP Approaches. LNCS 4510. Springer: Berlin/Heidelberg, pp 1–15.
- Cambazard H readme.txt, http://4c.ucc.ie/~hcambaza/page2/assets/ReadmeIMRT2.txt.
- Cambazard H, O'Mahony E and O'Sullivan B (2010). Hybrid Methods for the Multileaf Collimator Sequencing Problem. LNCS 6140. Springer: Berlin/Heidelberg, pp 56–70.
- EhrgottMGülerÇHamacherHWShaoLMathematical optimization in intensity modulated radiation therapy4OR: A Quarterly Journal of Operations Research20086319926210.1007/s10288-008-0083-7
- EhrgottMHamacherHWNußbaumMDecomposition of matrices and static multileaf collimators: A surveyOptimization in Medicine200812254610.1007/978-0-387-73299-2_2
- EngelKA new algorithm for optimal multileaf collimator field segmentationDiscrete Applied Mathematics20051521–3355110.1016/j.dam.2004.10.007
- ErnstATMakVHMasonLRAn exact method for the minimum cardinality problem in the treatment planning of intensity-modulated radiotherapyINFORMS Journal on Computing200921456257410.1287/ijoc.1080.0308
- Kalinowski T (2004). Algorithmic complexity of the minimization of the number of segments in multileaf collimator field segmentation. Technical report, Department of Mathematics, University of Rostock.
- LangerHMThaiVPapiezLImproved leaf sequencing reduces segments or monitor units needed to deliver IMRT using multileaf collimatorsMedical Physics200128121450145810.1118/1.1420392
- MakVIterative variable aggregation and disaggregation in IP: An applicationOperations Research Letters2007351364410.1016/j.orl.2006.01.008
- MargotFSymmetric ILP: Coloring and small integersDiscrete Optimization200741406210.1016/j.disopt.2006.10.008
- MargotFSymmetry in integer linear programming50 Years of Integer Programming2009647686
- Nußbaum M (2006). Min cardinality c1-decomposition of integer matrices. Master's thesis, Department of Mathematics, Technical University of Kaiserslautern.
- TaşkinZCSmithJCRomeijnHEDempseyJFOptimal multileaf collimator leaf sequencing in IMRT treatment planningOperations Research2010583675690
- WakeGMGHBolandNJenningsLSMixed integer programming approaches to exact minimization of total treatment time in cancer radiotherapy using multileaf collimatorsComputers and Operations Research20093679581010.1016/j.cor.2007.10.027
- XiaPVerheyLJMultileaf collimator leaf sequencing algorithm for intensity modulated beams with multiple static segmentsMedical Physics19982581424143410.1118/1.598315