"A Multi-Objective Variable Neighbourhood Search for the Beam Angle Selection Problem in Radiation Therapy"
Guillermo Cabrera-Guerrero, Maicholl Gutiérrez, Gustavo Gatica and José-Miguel Rubio

In this paper, a novel multi-objective variable neighbourhood search algorithm (MO-VNS) is applied to a problem arising in radiation therapy called beam angle optimization. The MO-VNS implements two different neighbourhood moves: the first one is focused on the exploration of the search space while the second one is more focused on the exploitation of the search space. Further, the algorithm implements some problem-specific rules to guide its search. The algorithm is applied to a prostate case and compared to a Pareto local search algorithm previously proposed in the literature. Results show that our MO-VNS algorithm is quite competitive in terms of the quality of the obtained treatment plans and it is able to converge to a set of locally efficient plans within clinically acceptable times.