Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1880342 | Physica Medica | 2010 | 8 Pages |
Abstract
A discrete set of points and their convex combinations can serve as a sparse representation of the Pareto surface in multiple objective convex optimization. We develop a method to evaluate the quality of such a representation, and show by example that in multiple objective radiotherapy planning, the number of Pareto optimal solutions needed to represent Pareto surfaces of up to five dimensions grows at most linearly with the number of objectives. The method described is also applicable to the representation of convex sets.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Radiation
Authors
David Craft,