New parallel randomized algorithms for the traveling salesman problem
Computers and Operations Research - Special issue on the traveling salesman problem
Nested Partitions Method for Global Optimization
Operations Research
An Optimization Framework for Product Design
Management Science
Mathematical Programming: Series A and B
A Column Generation Approach to Radiation Therapy Treatment Planning Using Aperture Modulation
SIAM Journal on Optimization
Discrete approximations to real-valued leaf sequencing problems in radiation therapy
Discrete Applied Mathematics
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We provide a framework for integrating two stages of radiation treatment planning (RTP): beam-angle selection (BAS) and dose optimization (DO). The framework is applied to both classical three-dimensional conformal radiotherapy and advanced intensity-modulated radiation therapy. Automated BAS and improved dose distribution are achieved within the framework. A metaheuristic approach, nested partitions, is applied. Alternative BAS and DO algorithms or commercial RTP software and clinical experience can be embedded within the framework to provide new methods for warm starts and evaluations of the quality of beam-angle set samples. Computational efficiency is achieved by utilizing high-throughput computing via the Condor system. Computational results show that our framework has led to a significant improvement in terms of solution quality and delivery time compared with current clinical practice.