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 p-1 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.
Original language | English |
---|---|
Pages (from-to) | 268-272 |
Number of pages | 5 |
Journal | Operations Research Letters |
Volume | 42 |
Issue number | 4 |
DOIs | |
State | Published - Jun 2014 |
Externally published | Yes |
Keywords
- Generalised equivalent uniform dose
- Intensity modulated radiation therapy
- Multi-objective optimisation
- Positively homogeneous function