Optimal configuration of gamma ray machine radiosurgery units: The sphere covering subproblem

DOI10.1007/s11590-008-0095-4zbMath1154.90347OpenAlexW1974425783MaRDI QIDQ1001331

Yue Zhang, Leo Liberti, Nelson F. Maculan

Publication date: 17 February 2009

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-008-0095-4

zbMATH Keywords

mathematical programmingsphere coveringreformulationgamma knife

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items

Linearization of Euclidean norm dependent inequalities applied to multibeam satellites design, The discrete ellipsoid covering problem: a discrete geometric programming approach, A Shape Optimization Approach to the Problem of Covering a Two-Dimensional Region with Minimum-Radius Identical Balls, Properties, extensions and application of piecewise linearization for Euclidean norm optimization in \(\mathbb{R}^2\)

Uses Software

• AMPL
• CPLEX
• GAMS
• minlpBB

Cites Work

• Global optimization. From theory to implementation.
• Links between linear bilevel and mixed 0-1 programming problems
• Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
• Global optimization approach to unequal global optimization approach to unequal sphere packing problems in 3D
• Radiosurgery treatment planning via nonlinear programming
• Compact linearization for binary quadratic problems
• An Optimization Approach for Radiosurgery Treatment Planning
• Linear programing formulations and algorithms for radiotherapy treatment planning
• Deterministic global optimization in nonlinear optimal control problems
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