Free Access
Issue |
RAIRO-Oper. Res.
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
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Page(s) | S787 - S810 | |
DOI | https://doi.org/10.1051/ro/2020016 | |
Published online | 02 March 2021 |
- J.D. Bourland and Q.J. Wu, Morphology-guided radiosurgery treatment planning and optimization for multiple isocenters. Med. Phys. 26 (1999) 2151–2160. [PubMed] [Google Scholar]
- S. Burer, A.N. Letchford, Non-convex mixed-integer nonlinear programming: A survey. Surv. Oper. Res. Manage. Sci. 17 (2012) 97–106. [Google Scholar]
- J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups, 3rd edition. Springer-Verlag, New York, NY (1999). [Google Scholar]
- A. Drud, CONOPT: A GRG code for large sparse dynamic nonlinear optimization problems. Math. Program. 31 (1985) 153–191. [Google Scholar]
- D.Z. Du, P. Pardalos and J. Wang, Vol. 55 of Discrete Mathematical Problems with Medical Applications. American Mathematical Society, Providence, RI (2000). [Google Scholar]
- M. Ferris and D. Shepard, Optimization of Gamma Knife Radiosurgery. In: Vol. 55 of Discrete Mathematical Problems with Medical Applications, edited by D.Z. Du, P. Pardalos, J. Wang. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, RI (2000) 27–44. [CrossRef] [Google Scholar]
- M. Ferris, J. Lim and D. Shepard, An optimization approach for the radiosurgery treatment planning. SIAM J. Optim. 13 (2003) 921–937. [Google Scholar]
- C.A. Floudas, Nonlinear and Mixed-integer Optimization: Fundamentals and Applications. Oxford University Press, Oxford (1995). [Google Scholar]
- S. Jitprapaikulsarn, An optimization-based treatment planner for gamma knife radiosurgery, Ph.D. thesis, Case Western Reserve University, Cleveland, OH (2005). [Google Scholar]
- J.E. Jones, On the Determination of Molecular Fields. II. From the Equation of State of a Gas. In: Vol. 106 of Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. The Royal Society of London, London (1924) 463–477. [Google Scholar]
- L. Liberti, N. Maculan and Y. Zhang, Optimal configuration of gamma ray machine radiosurgery units: The sphere covering subproblem. Optim. Lett. 3 (2009) 109–121. [Google Scholar]
- J. Lim, Optimization in radiation treatment planning, Ph.D. thesis, University of Wisconsin, Madison, WI (2002). [Google Scholar]
- T. Maekawa, Self-intersections of offsets of quadratic surfaces: Part I, explicit surfaces. Eng. Comput. 14 (1998) 1–13. [Google Scholar]
- T. Maekawa, Self-intersections of offsets of quadratic surfaces: Part II, implicit surfaces. Eng. Comput. 14 (1998) 14–22. [Google Scholar]
- W.J. Morokoff and R.E. Caflisch, Quasi-monte carlo integration. J. Comput. Phys. 122 (1995) 218–230. [Google Scholar]
- T. Motzkin, Sur quelques propriétés caractéristiques des ensembles convexes. Atti Acad. Naz. Lincei. Rend. VI 21 (1935) 562–567. [Google Scholar]
- R.Q. Nascimento, A.F.U.S. Macambira, L.F. Cabral, R.V. Pinto, The discrete ellipsoid covering problem: A discrete geometric programming approach. Discret. Appl. Math. 164 (2014) 276–285. [Google Scholar]
- I.I. Paddick, A simple scoring ratio to index the conformity of radiosurgical treatment plans. J. Neurosurg. 93 (2000) 219–222. [PubMed] [Google Scholar]
- P. Pardalos and H. Edwin, Vol. 26 of Handbook of Optimization in Medicine, Series Springer Optimization and its Applications. Springer US, New York, NY (2009). [Google Scholar]
- R.V. Pinto, O problema de recobrimento de sólidos por esferas de diâmetros diferentes. Tese de Doutorado, COPPE/UFRJ, Rio de Janeiro (2015). [Google Scholar]
- E. Shaw, R. Kline, M. Gillin, L. Souhami, A. Hirschfeld, R. Dinapoli, et al., Radiation therapy oncology group: Radiosurgery quality assurance guidelines. Int. J. Radiat. Oncol. Biol. Phys. 27 (1993) 1231–1239. [PubMed] [Google Scholar]
- D.M. Shepard, M.C. Ferris, R. Ove and L. Ma, Inverse treatment planning for gamma knife radiosurgery. Med. Phys. 27 (2000) 2748–2756. [PubMed] [Google Scholar]
- A. Soutou and Y. Dai, Global optimization approach to unequal sphere packing problems in 3D. J. Optim. Theory Appl. 114 (2002) 671–694. [Google Scholar]
- K. Bezdek, Classical Topics in Discrete Geometry. Springer US, New York, NY (2010). [Google Scholar]
- C. Uhler and S.J. Wright, Packing ellipsoids with overlap. Soc. Ind. Appl. Math. 55 (2013) 4. [Google Scholar]
- M.B.K. Venceslau, O problema de recobrimento mínimo de um corpo em três dimensões por esferas de diferentes raios. Tese de Doutorado, COPPE/UFRJ, Rio de Janeiro (2015). [Google Scholar]
- H.M. Venceslau, D.C. Lubke and A.E. Xavier, Optimal covering of solid bodies by spheres via the hyperbolic smoothing technique. Optim. Meth. Softw. 30 (2014) 391–403. [Google Scholar]
- A.E. Xavier and A.A.F.D. Oliveira, Optimal covering of plane domains by circles via hyperbolic smoothing. J. Glob. Optim. 31 (2005) 493–504. [Google Scholar]
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