Abstract
In this paper, we study a combinatorial problem arising in the development of innovative treatment strategies and equipment using tunable shields in internal radiotherapy. From an algorithmic point of view, this problem is related to circular integer word decomposition into circular binary words under constraints. We consider several variants of the problem, depending on constraints and parameters and present exact algorithms, polynomial time approximation algorithms and NP-hardness results.
This research was partially supported by PoPRA project funded by Conseil Régional d’Aquitaine and European FEDER and IdEx Bordeaux. We thank Maxence Ronzié for initial assistance in the very first step of the project.
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Blin, G., Gasparoux, M., Ordyniak, S., Popa, A. (2016). SOBRA - Shielding Optimization for BRAchytherapy. In: Mäkinen, V., Puglisi, S., Salmela, L. (eds) Combinatorial Algorithms. IWOCA 2016. Lecture Notes in Computer Science(), vol 9843. Springer, Cham. https://doi.org/10.1007/978-3-319-44543-4_24
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DOI: https://doi.org/10.1007/978-3-319-44543-4_24
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