Multi-objective optimisation of positively homogeneous functions and an application in radiation therapy

Guillermo Cabrera G., Matthias Ehrgott, Andrew Mason, Andy Philpott

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

10 Citas (Scopus)

Resumen

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.

Idioma originalInglés
Páginas (desde-hasta)268-272
Número de páginas5
PublicaciónOperations Research Letters
Volumen42
N.º4
DOI
EstadoPublicada - jun 2014
Publicado de forma externa

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