Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10523918 | Operations Research Letters | 2014 | 5 Pages |
Abstract
Unconstrained multi-objective optimisation problems with p positively homogeneous objective functions are considered. We prove that such problems reduce to multi-objective optimisation problems with pâ1 objectives and a single equality constraint. Thus, problems with two objectives can be solved with standard single objective optimisation methods and, for problems with p>2 objectives, we can compute infinitely many efficient solutions by solving a finite number of single objective problems. The proposed procedure is applied on radiotherapy for cancer treatment.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Guillermo Cabrera G., Matthias Ehrgott, Andrew Mason, Andy Philpott,